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Introduction to loop quantum gravity. The Holst’s action and the covariant formalism Int. J. Geom. Methods Mod. Phys. (IF 1.8) Pub Date : 2024-03-13 L. Fatibene, A. Orizzonte, A. Albano, S. Coriasco, M. Ferraris, S. Garruto, N. Morandi
We review Holst formalism and dynamical equivalence with standard GR (in dimension 4). Holst formalism is written for a spin coframe field eμI and a Spin(3,1)-connection ωμIJ on spacetime M and it depends on the Holst parameterγ∈ℝ−{0}. We show the model is dynamically equivalent to standard GR, in the sense that up to a pointwise Spin(3,1)-gauge transformation acting on (uppercase Latin) frame indices
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First-order quantum correction of thermodynamics in a charged accelerating AdS black hole with gauge potential Int. J. Geom. Methods Mod. Phys. (IF 1.8) Pub Date : 2024-03-13 Riasat Ali, Rimsha Babar, Houcine Aounallah, Ali Övgün
In this paper, we study the tunneling radiation from a charged-accelerating AdS black hole with gauge potential under the impact of quantum gravity. Using the semi-classical phenomenon known as the Hamilton–Jacobi ansatz, it is studied that tunneling radiation occurs via the horizon of a black hole and also employs the Lagrangian equation using the generalized uncertainty principle. Furthermore, we
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From the classical Frenet–Serret apparatus to the curvature and torsion of quantum-mechanical evolutions. Part II. Nonstationary Hamiltonians Int. J. Geom. Methods Mod. Phys. (IF 1.8) Pub Date : 2024-03-13 Paul M. Alsing, Carlo Cafaro
In this paper, we present a geometric perspective on how to quantify the bending and the twisting of quantum curves traced by state vectors evolving under nonstationary Hamiltonians. Specifically, relying on the existing geometric viewpoint for stationary Hamiltonians, we discuss the generalization of our theoretical construct to time-dependent quantum-mechanical scenarios where both time-varying curvature
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A background independent notion of causality Int. J. Geom. Methods Mod. Phys. (IF 1.8) Pub Date : 2024-03-13 A. Capolupo, A. Quaranta
We develop a notion of causal order on a generic manifold as independent of the underlying differential and topological structure. We show that sufficiently regular causal orders can be recovered from a distinguished algebra of sets, which plays a role analogous to that of topologies and σ algebras. We then discuss how a natural notion of measure can be associated to the algebra of causal sets.
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The Hodge–Dirac operator and Dabrowski–Sitarz–Zalecki-type theorems for manifolds with boundary Int. J. Geom. Methods Mod. Phys. (IF 1.8) Pub Date : 2024-03-13 Tong Wu, Yong Wang
Dabrowski et al. [Spectral metric and Einstein functionals for Hodge–Dirac operator, preprint (2023), arXiv:2307.14877] gave spectral Einstein bilinear functionals of differential forms for the Hodge–Dirac operator d+δ on an oriented even-dimensional Riemannian manifold. In this paper, we generalize the results of Dabrowski et al. to the cases of 4-dimensional oriented Riemannian manifolds with boundary
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Quantum mechanics on a p-adic Hilbert space: Foundations and prospects Int. J. Geom. Methods Mod. Phys. (IF 1.8) Pub Date : 2024-03-11 Paolo Aniello, Stefano Mancini, Vincenzo Parisi
We review some recent results on the mathematical foundations of a quantum theory over a scalar field that is a quadratic extension of the non-Archimedean field of p-adic numbers. In our approach, we are inspired by the idea — first postulated in [I. V. Volovich, p-adic string, Class. Quantum Grav.4 (1987) L83–L87] — that space, below a suitably small scale, does not behave as a continuum and, accordingly
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Plasma-infused solitary waves: Unraveling novel dynamics with the Camassa–Holm equation Int. J. Geom. Methods Mod. Phys. (IF 1.8) Pub Date : 2024-03-09 Chanyuan Wang, Reem Altuijri, Abdel-Haleem Abdel-Aty, Kottakkaran Sooppy Nisar, Mostafa M. A. Khater
This investigation employs advanced computational techniques to ascertain novel and precise solitary wave solutions of the Camassa–Holm (𝒞ℋ) equation, a partial differential equation governing wave phenomena in one-dimensional media. Originally designed for the representation of shallow water waves, the 𝒞ℋ equation has exhibited versatility across various disciplines, including nonlinear optics and
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Geometric methods in quantum information and entanglement variational principle Int. J. Geom. Methods Mod. Phys. (IF 1.8) Pub Date : 2024-03-05 Daniele Iannotti, Alioscia Hamma
Geometrical methods in quantum information are very promising for both providing technical tools and intuition into difficult control or optimization problems. Moreover, they are of fundamental importance in connecting pure geometrical theories, like GR, to quantum mechanics, like in the AdS/CFT correspondence. In this paper, we first make a survey of the most important settings in which geometrical
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Revisiting Legendre transformations in Finsler geometry Int. J. Geom. Methods Mod. Phys. (IF 1.8) Pub Date : 2024-03-05 Ernesto Rodrigues, Iarley P. Lobo
In this paper, we discuss the conditions for mapping the geometric description of the kinematics of particles that probe a given Hamiltonian in phase space to a description in terms of Finsler geometry (and vice-versa).
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Charged stellar structure with Krori–Barua potentials in f(R,ϕ,X) gravity admitting Chaplygin equation of state Int. J. Geom. Methods Mod. Phys. (IF 1.8) Pub Date : 2024-03-05 Adnan Malik
The primary objective of this paper is to examine singularity-free solutions within the framework of anisotropic solutions for the Chaplygin equation of state in f(R,ϕ,X) modified gravity theory. Herein, R signifies the Ricci scalar, ϕ denotes the scalar field, and X represents the kinetic term associated with ϕ. The investigation employs the Krori–Barua metric to explore the characteristics of an
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The equivalence principle as a Noether symmetry Int. J. Geom. Methods Mod. Phys. (IF 1.8) Pub Date : 2024-02-29 Salvatore Capozziello, Carmen Ferrara
The equivalence principle is considered in the framework of metric-affine gravity. We show that it naturally emerges as a Noether symmetry starting from a general non-metric theory. In particular, we discuss the Einstein equivalence principle and the strong equivalence principle showing their relations with the non-metricity tensor. Possible violations are also discussed pointing out the role of non-metricity
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Observation constraints on scalar field cosmological model in anisotropic universe Int. J. Geom. Methods Mod. Phys. (IF 1.8) Pub Date : 2024-02-29 Vinod Kumar Bhardwaj, Anil Kumar Yadav
In this study, we have explored a scalar field cosmological model in the axially symmetric Bianchi type-I universe. In this study, our aim is to constrain the scalar field dark energy model in an anisotropic background. For this purpose, the explicit solution of the developed field equations for the model is determined and analyzed. Constraints on the cosmological model parameters are established utilizing
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From the classical Frenet–Serret apparatus to the curvature and torsion of quantum-mechanical evolutions. Part I. Stationary Hamiltonians Int. J. Geom. Methods Mod. Phys. (IF 1.8) Pub Date : 2024-02-29 Paul M. Alsing, Carlo Cafaro
It is known that the Frenet–Serret apparatus of a space curve in three-dimensional Euclidean space determines the local geometry of curves. In particular, the Frenet–Serret apparatus specifies important geometric invariants, including the curvature and the torsion of a curve. It is also acknowledged in quantum information science that low complexity and high efficiency are essential features to achieve
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A note on generalized weakly ℋ-symmetric manifolds and relativistic applications Int. J. Geom. Methods Mod. Phys. (IF 1.8) Pub Date : 2024-02-29 Sameh Shenawy, Nasser Bin Turki, Carlo Mantica
In this work, generalized weakly ℋ-symmetric space-times (GWHS)n are investigated, where ℋ is any symmetric (0,2) tensor. It is proved that, in a nontrivial (GWHS)n space-time, the tensor ℋ has a perfect fluid form. Accordingly, sufficient conditions for a nontrivial generalized weakly Ricci symmetric space-time (GWRS)n to be either an Einstein space-time or a perfect fluid space-time are obtained
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Non-commutative Wormhole geometries in presence of modified Chaplygin–Jacobi gas and Anton–Schmidt fluid Int. J. Geom. Methods Mod. Phys. (IF 1.8) Pub Date : 2024-02-29 Soubhik Paramanik, Ujjal Debnath
In this work, we have found Wormhole (WH) solutions in isotropic cosmology in the backdrop of general relativity while utilizing the “Modified Chaplygin–Jacobi Gas” and “Anton–Schmidt fluid” equations of state. As a starting point for our calculations, we have also considered two matter distributions, namely the Gaussian distribution and the Lorentzian distribution. All four energy conditions (i.e
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On D-brane models from flat torus geometry Int. J. Geom. Methods Mod. Phys. (IF 1.8) Pub Date : 2024-02-29 S. E. Ennadifi
Inspired by string theory compactifications and torus 𝕋2 topology, we consider a general interacting D(3+n)-brane model, with n being the number of extra dimensions, built from a flat torus ℝ2n/ℤ2n compactification. In particular, we present the squared n=2 torus topological features and investigate the associated low-energy D-brane physics.
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Position-dependent mass from noncommutativity and its statistical descriptions Int. J. Geom. Methods Mod. Phys. (IF 1.8) Pub Date : 2024-02-28 Latévi M. Lawson, Kossi Amouzouvi, Komi Sodoga, Katawoura Beltako
A set of position-dependent noncommutative algebra in two dimension (2D) that describes the space near the Planck scale had been introduced [J. Phys. A: Math. Theor. 53 (2020) 115303]. This algebra predicted the existence of maximal length of graviton measurable at low energy. From this algebra, we deduce in the present paper, a new noncommutative algebra that is compatible with the deformed algebra
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Investigating the compatibility of exact solutions in Weyl-type f(Q,T) gravity with observational data Int. J. Geom. Methods Mod. Phys. (IF 1.8) Pub Date : 2024-02-23 M. Koussour, S. Myrzakulova, N. Myrzakulov
In this study, we investigate the dynamics of the Universe during the observed late-time acceleration phase within the framework of the Weyl-type f(Q,T) theory. Specifically, we consider a well-motivated model with the functional form f(Q,T)=αQ+β6κ2T, where Q represents the scalar of non-metricity and T denotes the trace of the energy–momentum tensor. In this context, the non-metricity Qμαβ of the
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Spacetime metric from quantum-gravity corrected Feynman propagators Int. J. Geom. Methods Mod. Phys. (IF 1.8) Pub Date : 2024-02-23 P. Fernández de Córdoba, J. M. Isidro, Rudranil Roy
Differentiation of the scalar Feynman propagator with respect to the spacetime coordinates yields the metric on the background spacetime that the scalar particle propagates in. Now Feynman propagators can be modified in order to include quantum-gravity corrections as induced by a zero-point length L>0. These corrections cause the length element s2 to be replaced with s2+4L2 within the Feynman propagator
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Solitons and traveling waves structure for the Schrödinger–Hirota model in fluids Int. J. Geom. Methods Mod. Phys. (IF 1.8) Pub Date : 2024-02-23 Fazal Badshah, Kalim U. Tariq, Jian-Guo Liu, S. M. Raza Kazmi
The Schrödinger–Hirota equation is one of the most important models of contemporary physics which is popular throughout the broad fields of fluid movement as well as in the study of thick-water crests, liquid science, refractive optical components and so on. In this paper, we utilize the Hirota bilinear technique and the unified technique to attain various soliton solutions of the governing model analytically
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Conformal η-Ricci–Bourguignon soliton in general relativistic spacetime Int. J. Geom. Methods Mod. Phys. (IF 1.8) Pub Date : 2024-02-23 Santu Dey, Shyamal Kumar Hui, Soumendu Roy, Ali H. Alkhaldi
In this research paper, we determine the nature of conformal η-Ricci–Bourguignon soliton on a general relativistic spacetime with torse forming potential vector field. Besides this, we evaluate a specific situation of the soliton when the spacetime admitting semi-symmetric energy–momentum tensor with respect to conformal η-Ricci–Bourguignon soliton, whose potential vector field is torse-forming. Next
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The geometry of quantum computing Int. J. Geom. Methods Mod. Phys. (IF 1.8) Pub Date : 2024-02-22 E. Ercolessi, R. Fioresi, T. Weber
In this expository paper, we present a brief introduction to the geometrical modeling of some quantum computing problems. After a brief introduction to establish the terminology, we focus on quantum information geometry and ZX-calculus, establishing a connection between quantum computing questions and quantum groups, i.e. Hopf algebras.
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Lie symmetries of Lemaitre–Tolman–Bondi metric Int. J. Geom. Methods Mod. Phys. (IF 1.8) Pub Date : 2024-02-22 Jamshed Khan, Tahir Hussain, Ashfaque H. Bokhari, Muhammad Farhan
The aim of this paper is to investigate Lie symmetries including Killing, homothetic and conformal symmetries of Lemaitre–Tolman–Bondi (LTB) spacetime metric. To find all LTB metrics admitting these three types of symmetries, we have analyzed the set of symmetry equations by a Maple algorithm that provides some restrictions on the functions involved in LTB metric under which this metric admits the
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Generating f(R,𝒢) gravity from type IV singular bouncing cosmology Int. J. Geom. Methods Mod. Phys. (IF 1.8) Pub Date : 2024-02-20 G. C. Assolohou, C. Aïnamon, C. D. Akowanou, M. G. Ganiou, M. J. S. Houndjo
In this paper, we investigate in this paper the Type IV singular bouncing in the framework of f(R,𝒢) theory of gravity where R and 𝒢 mean the curvature scalar and the Gauss–Bonnet invariant, respectively. Cosmological f(R,𝒢) models constrained by the slow-roll evolution is reconstructed and their explicit forms are provided near the bounce and far away from it. One obtains finally two models whose
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Null cartan geodesic isophote curves in Minkowski 3-space Int. J. Geom. Methods Mod. Phys. (IF 1.8) Pub Date : 2024-02-20 Zewen Li, Donghe Pei
In this paper, we investigate null Cartan geodesic isophote curves in the Minkowski 3-space, and give examples where such curves actually exist. By categorizing the types of light vectors, we characterize different types of null Cartan geodesic isophote curves. Moreover, we present the relationship between null Cartan geodesic isophote curves and other special curves.
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Modified Friedmann equations and fractal Black Hole thermodynamics Int. J. Geom. Methods Mod. Phys. (IF 1.8) Pub Date : 2024-02-20 S. Davood Sadatian, T. Gholame
The general relativity unification and quantum theory is a significant open problem in theoretical physics. This problem arises from the fact that these two fundamental theories, which describe gravity and the behavior of particles at the microscopic level, respectively, are currently incompatible. The unification of these theories is crucial for a complete comprehension of the fundamental forces and
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A closed universe with hybrid nonlocality Int. J. Geom. Methods Mod. Phys. (IF 1.8) Pub Date : 2024-02-16 Branko Dragovich
In this paper, we explore some cosmological solutions of the Friedmann–Lemaître–Robertson–Walker (FLRW) closed universe with nonlocal de Sitter gravity dS and nonlocal scalar field which has its origin in p-adic string theory. In this case, we have that both geometrical and matter sectors of equations of motion (EoM) are nonlocal. The cosmological constant Λ plays a role of dark energy (DE) and is
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Characterizations of η–ρ-Einstein solitons in spacetimes and f(ℛ)-gravity Int. J. Geom. Methods Mod. Phys. (IF 1.8) Pub Date : 2024-02-16 Uday Chand De, Arpan Sardar, Fatemah Mofarreh
A generalized Robertson–Walker spacetime is not, in general, a perfect fluid spacetime and the converse is not, in general, true. In this paper, we show that if a perfect fluid spacetime admits an η–ρ-Einstein soliton, then the integral curves generated by the velocity vector field u are geodesics and the acceleration vector vanishes. Also, we show that if a perfect fluid spacetime with Killing velocity
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Upper limit on the acceleration of a quantum evolution in projective Hilbert space Int. J. Geom. Methods Mod. Phys. (IF 1.8) Pub Date : 2024-02-15 Paul M. Alsing, Carlo Cafaro
It is remarkable that Heisenberg’s position-momentum uncertainty relation leads to the existence of a maximal acceleration for a physical particle in the context of a geometric reformulation of quantum mechanics. It is also known that the maximal acceleration of a quantum particle is related to the magnitude of the speed of transportation in projective Hilbert space. In this paper, inspired by the
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Intermediate inflation through Nojiri–Odintsov holographic dark fluid with the cosmological settings of Kaniadakis Int. J. Geom. Methods Mod. Phys. (IF 1.8) Pub Date : 2024-02-15 Sanjeeda Sultana, Surajit Chattopadhyay
This study is inspired by the generalized holographic cut-off proposed by Nojiri and Odintsov (S. I. Nojiri and S. D. Odintsov, Unifying phantom inflation with late-time acceleration: Scalar phantom–non-phantom transition model and generalized holographic dark energy, Gen. Relativ. Gravit.38 (2006) 1285–1304) as it aims to have an understanding of the Kaniadakis holographic dark fluid, a particular
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The interacting vacuum energy models with spatial curvature: A dynamical system perspective with observational constraints Int. J. Geom. Methods Mod. Phys. (IF 1.8) Pub Date : 2024-02-15 Ashutosh Singh, Syamala Krishnannair, Krishna Chandra Mishra
In this paper, we study the cosmic dynamics of varying vacuum models where the dark matter interacts with the vacuum energy. We consider the homogeneous and isotropic spacetime with spatial curvature and apply the dynamical system technique to the varying vacuum models by specifying the form of energy exchange rate (Q) between the dark energy and dark matter. Further, we utilize the cosmographic parameters
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Cosmic expansion history analysis with Hubble parametrization in Qn gravity Int. J. Geom. Methods Mod. Phys. (IF 1.8) Pub Date : 2024-02-15 M. Koussour, N. Myrzakulov
In this paper, we propose a specialized parameterization for the Hubble parameter, inspired by ΛCDM cosmology, to investigate the cosmic expansion history of the Universe. This parameterization is employed to analyze the universe’s late-time behavior within the context of Qn gravity, where Q represents non-metricity. By using data from 57 Hubble data points, 1048 supernova (SNe) data points, and six
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The influence of double deformation phase-space on the thermo-magnetic properties and energy spectra of some diatomic molecules and the spin-averaged mass spectra of the heavy mesons with the ICIQYHP model in 3D-NRNCPS symmetries Int. J. Geom. Methods Mod. Phys. (IF 1.8) Pub Date : 2024-02-14 Abdelmadjid Maireche
In this paper, we perform a complete non-relativistic study of the improved class of inversely quadratic Yukawa plus Hulthén potential (ICIQYHP) model in the context of three-dimensional non-relativistic non-commutative quantum phase-space (3D-NRNCPS) symmetries impacted by perturbed spin–orbit interaction and the external magnetic fields for the homogeneous (N2 and O2) and heterogeneous (CO and NO)
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The inverse problem within free Electrodynamics and the coisotropic embedding theorem Int. J. Geom. Methods Mod. Phys. (IF 1.8) Pub Date : 2024-02-14 L. Schiavone
In this paper, we present the coisotropic embedding theorem as a tool to provide a solution for the inverse problem of the calculus of variations for a particular class of implicit differential equations, namely the equations of motion of free Electrodynamics.
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Studying the behavior of radial free geodesics in ΛCDM model Int. J. Geom. Methods Mod. Phys. (IF 1.8) Pub Date : 2024-02-14 Omar Nemoul, Hichem Guergouri, Jamal Mimouni
This paper presents an analytical study of the behavior of radial free-geodesics in the Friedmann–Lemaître–Robertson–Walker (FLRW) spacetime within the Lambda Cold Dark Matter (ΛCDM) model. Using the radial free motion solutions, we provide two methods for characterizing the geodesics and defines a general formula that encapsulates all possible solutions, determined by two initial conditions. We show
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Variational principle and optical soliton solutions for some types of nonlinear Schrödinger dynamical systems Int. J. Geom. Methods Mod. Phys. (IF 1.8) Pub Date : 2024-02-09 Aly R. Seadawy, Bayan A. Alsaedi
The nonlinear Schrödinger equation (NLSE) is a fundamental equation in quantum mechanics with applications in optical fibers, plasma physics, and biomolecule dynamics. The focus of this paper is on four types of nonlinear Schrödinger equations, including the cubic nonlinear Schrödinger equation (CNLSE) and the Chen–Lee–Liu equation (CLLE). We present the existence of a Lagrangian and the invariant
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Testing the effect of anisotropy on the parametrization of deceleration parameter from recent observational data Int. J. Geom. Methods Mod. Phys. (IF 1.8) Pub Date : 2024-02-09 Z. Zarei, A. Aghamohammadi, V. Fayaz, S. A. A. Terohid
In this work, we investigate Bianchi type I universe in the presence of dark energy and dark matter by three parameterizations of deceleration parameter models, which are considered to find solutions of the models. In the framework of an anisotropic cosmology, we constrain the parameters of these models and compared the results with the ΛCDM model, by using the datasets from different observational
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Generalized stochastic Korteweg-de Vries equations, their Painlevé integrability, N-soliton and other solutions Int. J. Geom. Methods Mod. Phys. (IF 1.8) Pub Date : 2024-02-09 Udoh Akpan, Lanre Akinyemi, Daniel Ntiamoah, Alphonse Houwe, Souleymanou Abbagari
In this study, we study two generalized stochastic Korteweg-de Vries (KdV) equations. The Painlevé property of these nonlinear models is tested using Kruksal’s method, which establishes the model’s integrability. As a result, using Hirota’s bilinear approach and symbolic computation, the N-soliton solutions are constructed. In addition, the extended hyperbolic function method (EHFM), the modified Kudryashov
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Generalized relativistic transformations in Clifford spaces and their physical implications Int. J. Geom. Methods Mod. Phys. (IF 1.8) Pub Date : 2024-02-09 Carlos Castro Perelman
A brief introduction of the Extended Relativity Theory in Clifford Spaces (C-space) paves the way to the explicit construction of the generalized relativistic transformations of the Clifford multivector-valued coordinates in C-spaces. The most general transformations furnish a full mixing of the grades of the multivector-valued coordinates. The transformations of the multivector-valued momenta follow
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The constant-roll inflation model in Barrow entropy Int. J. Geom. Methods Mod. Phys. (IF 1.8) Pub Date : 2024-02-06 M. Faruk Karabat
In this work, we study a constant-roll inflation model embedded in the Barrow entropy scenario. In this regards, we derive the modified of the Friedmann–Robertson–Walker (FRW) universe from the Barrow entropy using the first law of thermodynamics for the apparent horizon of the universe. We consider the inflation dynamics of the early universe under the constant-roll condition where the inflation is
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Characterizations of spacetimes admitting critical point equation and f(r)-gravity Int. J. Geom. Methods Mod. Phys. (IF 1.8) Pub Date : 2024-02-06 Uday Chand De, Arpan Sardar, Young Jin Suh
In general, a perfect fluid spacetime is not a generalized Robertson–Walker spacetime and the converse is also not true. In this paper, it is shown that if a perfect fluid spacetime satisfies the critical point equation, then either the spacetime becomes a generalized Robertson–Walker spacetime and represents dark era or the vorticity of the fluid vanishes as well as the spacetime is expansion free
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The Q-deformed SUC, BUC hierarchies and the multi-component generalizations Int. J. Geom. Methods Mod. Phys. (IF 1.8) Pub Date : 2024-02-06 Fei Wang, Min Zhu, Zhaowen Yan
In this paper, we construct two kinds of q-differential integrable hierarchies. The first one is the q-universal character of B-type (BUC) and lattice q-BUC hierarchies expressed by q-shift operators. It is also shown that the lattice q-BUC hierarchy reduces to the q-BUC hierarchy with certain conditions. The other one is the q-deformed generalized symplectic Schur functions and the q-deformed generalized
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Bianchi type-VI perfect fluid cosmological model in f(Q,T) gravity Int. J. Geom. Methods Mod. Phys. (IF 1.8) Pub Date : 2024-02-06 Metoka Narzary, Mukunda Dewri
A spatially homogeneous and anisotropic Bianchi type-VI cosmological model in the framework of f(Q,T) gravity has been studied by considering three different functional forms of f(Q,T) i.e. f(Q,T)=aQ+bT, f(Q,T)=aQk+bT and f(Q,T)=−aQ−bT2. The field equation of f(Q,T) gravity has been solved with the help of the Bianchi type-VI line element. The cosmological parameters of the models are evaluated, and
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Totally geodesic and parallel hypersurfaces of Siklos spacetimes Int. J. Geom. Methods Mod. Phys. (IF 1.8) Pub Date : 2024-02-05 Giovanni Calvaruso, Lorenzo Pellegrino, Joeri Van der Veken
In this paper, we classify and describe totally geodesic and parallel hypersurfaces for the entire class of Siklos spacetimes. A large class of minimal hypersurfaces is also described.
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Investigation of charged stellar structures in f(R,ϕ) gravity using Reissner–Nordstrom geometry Int. J. Geom. Methods Mod. Phys. (IF 1.8) Pub Date : 2024-02-01 Adnan Malik, M. Rizwan Bashir, Mushtaq Ahmad, Asma Jabeen, M. Farasat Shamir
The purpose of this study is to investigate the behavior of charged stellar structures in the f(R,ϕ) theory of gravity, where R denotes the Ricci scalar and ϕ represents the scalar potential, respectively. For our current analysis, we consider Krori–Barua metrics to discuss the spherically symmetric solutions in f(R,ϕ) gravity. We further develop some matching conditions between the spherically symmetric
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A universe without time produced by a disappearing wormhole Int. J. Geom. Methods Mod. Phys. (IF 1.8) Pub Date : 2024-02-01 Wladimir-Georges Boskoff
Einstein’s field equations allow exotic solutions as de Sitter and anti-de Sitter universes without matter, wormholes solutions and universes without a proper time coordinate as Gödel’s one. In this paper, we are interested in highlighting a wormhole-type universe solution of Einstein’s field equations which, when the wormhole disappears, turns into a universe without a proper time coordinate. The
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Novel approach of Hubble parameter in f(R,Tϕ) gravity Int. J. Geom. Methods Mod. Phys. (IF 1.8) Pub Date : 2024-02-01 Bhupendra Kumar Shukla, Değer Sofuoğlu, Preeti Mishra
The f(R,T) theory of gravity investigated by Harko et al. [T. Harko, F. S. N. Lobo, S. Nojiri and S. D. Odintsov, Phys. Rev. D84 (2011) 024020; T. Harko, Phys. Rev. D90(4) (2014) 044067] serves as the inspiration for the homogeneous and isotropic cosmological model presented in generalized f(R,Tϕ) theories connected with a scalar field. Assuming that Tϕ is the trace of the energy-momentum tensor, f(R
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A study of Morris–Thorne wormhole in Einstein–Cartan theory Int. J. Geom. Methods Mod. Phys. (IF 1.8) Pub Date : 2024-02-01 Sagar V. Soni, A. C. Khunt, A. H. Hasmani
This paper focuses on the Einstein–Cartan theory, an extension of general relativity that incorporates a torsion tensor into spacetime. The differential form technique is employed to analyze the Einstein–Cartan theory, which replaces tensors with tetrads. A tetrad formalism, specifically the Newman–Penrose–Jogia–Griffiths formalism, is used to study the field equations. Also, the energy–momentum tensor
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Generalized Duffin–Kemmer–Petiau oscillator under Aharonov–Bohm flux in topological defects backgrounds Int. J. Geom. Methods Mod. Phys. (IF 1.8) Pub Date : 2024-01-29 Faizuddin Ahmed, Nuray Candemir
In this paper, we study the generalized Duffin–Kemmer–Petiau (DKP) oscillator under the influence of quantum flux field in the topological defects produced by a cosmic string space-time and point-like global monopole. The generalized DKP oscillator will be investigated through a non-minimal substitution of the momentum operator p→(p+iMωη0f(r)r̂) in the relativistic DKP equation. We solve this generalized
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Computational approaches for nonlinear gravity dispersive long waves and multiple soliton solutions for coupled system nonlinear (2+1)-dimensional Broer–Kaup–Kupershmit dynamical equation Int. J. Geom. Methods Mod. Phys. (IF 1.8) Pub Date : 2024-01-29 Mujahid Iqbal, Aly R. Seadawy, Dianchen Lu, Zhengdi Zhang
In this paper, the coupled system nonlinear (2+1)-dim Broer–Kaup–Kupershmit (BKK) equation under consideration is based on extension of modified rational expansion method. The various kinds of multiple soliton solutions named anti-kink soliton, traveling wave solutions, periodic solution, dark soliton, kink soliton, bright soliton, anti-kink bright solitons, kink bright solitons for nonlinear BKK system
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Bouncing cosmology in Chern–Simons f(R) gravity Int. J. Geom. Methods Mod. Phys. (IF 1.8) Pub Date : 2024-01-24 Adnan Malik, Zoya Asghar, Ali H. Alkhaldi, M. Farasat Shamir
This paper is devoted to study FRW universe in the context of Chern–Simons corrected f(R) gravity. In particular, the work provides the investigation of cosmological dynamics within modified gravity by assuming a suitable Hubble parameter that might result in a realistic bouncing universe. For this purpose, we consider a suitable Hubble parameter and examine the bouncing cosmology by assuming a well-known
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Quantifying quantum entanglement in two-qubit mixed state from connected correlator Int. J. Geom. Methods Mod. Phys. (IF 1.8) Pub Date : 2024-01-24 Xingyu Guo, Chen-Te Ma
Our study employs a connected correlation matrix to quantify quantum entanglement. The matrix encompasses all necessary measures for assessing the degree of entanglement between particles. We begin with a three-qubit state and involve obtaining a mixed state by performing partial tracing over one qubit. Our goal is to exclude the non-connected sector by focusing on the connected correlation. This suggests
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Hamiltonian analysis in Lie–Poisson gauge theory Int. J. Geom. Methods Mod. Phys. (IF 1.8) Pub Date : 2024-01-24 Francesco Bascone, Maxim Kurkov
Lie–Poisson gauge formalism provides a semiclassical description of noncommutative U(1) gauge theory with Lie algebra type noncommutativity. Using the Dirac approach to constrained Hamiltonian systems, we focus on a class of Lie–Poisson gauge models, which exhibit an admissible Lagrangian description. The underlying noncommutativity is supposed to be purely spatial. Analyzing the constraints, we demonstrate
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Lagrangian formulation of the Raychaudhuri equation in non-Riemannian geometry Int. J. Geom. Methods Mod. Phys. (IF 1.8) Pub Date : 2024-01-24 Anish Agashe
The Raychaudhuri equation (RE) for a congruence of curves in a general non-Riemannian geometry is derived. A formal connection is established between the expansion scalar and the cross-sectional volume of the congruence. It is found that the expansion scalar is equal to the fractional rate of change of volume, weighted by a scalar factor that depends on the non-Riemannian features of the geometry.
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Rota–Baxter mock-Lie bialgebras and related structures Int. J. Geom. Methods Mod. Phys. (IF 1.8) Pub Date : 2024-01-22 Ismail Laraiedh
The aim of this paper is to introduce the notion of Rota–Baxter mock-Lie bialgebras (A,∘,δ,K,Q) and their admissibility conditions in terms of dual representations (ρ∗,β∗,V∗). Next, we show that Rota–Baxter mock-Lie bialgebras are characterized by matched pairs and Manin triples of Rota–Baxter mock-Lie algebras. Furthermore, the coboundary case leads to the introduction of the admissible mock-Lie Yang–Baxter
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q-deformed Bose statistics and the Gross–Pitaevskii equation Int. J. Geom. Methods Mod. Phys. (IF 1.8) Pub Date : 2024-01-22 Mahnaz Maleki, Zahra Ebadi, Hosein Mohammadzadeh
In continuation of our earlier work on the nonextensive form of the Gross–Pitaevskii equation (GPE) [M. Maleki, H. Mohammadzadeh and Z. Ebadi, Int. J. Geom. Methods Mod. Phys.20 (2023) 2350216], we now delve into its q-deformed counterpart. GPE is a type of nonlinear partial differential equation that is specifically designed to describe the behavior of a group of particles with Bose–Einstein statistics
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Tolman IV perfect fluid sphere in Rastall gravity Int. J. Geom. Methods Mod. Phys. (IF 1.8) Pub Date : 2024-01-19 Arfa Waseem
This paper is devoted to observe the physical attributes of isotropic relativistic spherical objects in the context of Rastall theory of gravity. In order to inspect the structural composition of spherical objects, the Tolman IV solution is taken into account. The unknown parameters associated with Tolman IV solution are evaluated through matching conditions with derived values of radii and masses
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A variational framework for higher order perturbations Int. J. Geom. Methods Mod. Phys. (IF 1.8) Pub Date : 2024-01-12 Federico Chiaffredo, Lorenzo Fatibene, Marco Ferraris, Emanuele Ricossa, Davide Usseglio
A covariant, global, variational framework for perturbations in field theories is presented. Perturbations are obtained as vertical vector fields on the configuration bundle and they drag, exactly, solution into solutions. The flow of a perturbation drags solutions into solutions and the dragged perturbed solutions can be expanded in a series with respect to the flow parameter, hence it contains perturbations
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Evolution of physical systems and nonlinear realized symmetries Int. J. Geom. Methods Mod. Phys. (IF 1.8) Pub Date : 2024-01-12 Diego Julio Cirilo-Lombardo
In this work, a new method to determine and to describe the evolution of physical systems (in classical or quantum regimes) is proposed. The main idea is based in the observation that the complete determination of dynamics of the system is connected to the nonlinear realization (NLR) of the symmetry group associated with the symmetry of the Hamiltonian H(t) of the system. The Maurer–Cartan forms, when
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Clairaut slant Riemannian maps to Kähler manifolds Int. J. Geom. Methods Mod. Phys. (IF 1.8) Pub Date : 2024-01-12 Jyoti Yadav, Gauree Shanker, Murat Polat
The aim of this paper is to study the idea of Clairaut slant Riemannian maps from Riemannian manifolds to Kähler manifolds. First, for the slant Riemannian map, we obtain the necessary and sufficient conditions for a curve to be a geodesic on the base manifold. Further, we find the necessary and sufficient conditions for the slant Riemannian map to be a Clairaut slant Riemannian map; for Clairaut slant