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Thinshell wormholes with electromagnetic effects in f(R,T) gravity Int. J. Geom. Methods Mod. Phys. (IF 1.8) Pub Date : 20230824
M. Z. Bhatti, Z. Yousaf, M. NazeerThe purpose of this paper is to study the feasibility and the appearance of charged thinshell wormholes using generalized Chaplygin gas under the influence of minimally coupled f(R,T) gravitational theory. Here, f is a generic function of the scalar curvature R and the trace of stressenergy tensor T. We explore different components of Lanczos equations in the context of a specific f(R,T) functional

(m,ρ)quasiEinstein solitons on 3dimensional transSasakian manifolds and its applications in spacetimes Int. J. Geom. Methods Mod. Phys. (IF 1.8) Pub Date : 20230824
Avijit Sarkar, Urmila BiswasThis paper characterizes (m,ρ)quasiEinstein solitons on 3dimensional transSasakian manifolds. It has been shown that a closed (m,ρ)quasiEinstein soliton on a 3dimensional transSasakian manifold is either cosymplectic or Einstein under certain restrictions. Moreover, we investigate (m,ρ)quasiEinstein solitons with certain potential vector fields on 3dimensional transSasakian manifolds. As

Energy constraints for static wormholes in f(ℛ,𝒯 ) gravity Int. J. Geom. Methods Mod. Phys. (IF 1.8) Pub Date : 20230822
G. Abbas, S. Taj, Aisha Siddida, Zohra ArbabThe tunnellike structures proposed by Morris and Thorne are explored in this study by using f(ℛ,𝒯) framework. The solutions of static wormhole, supported by the matter possess van der Waals equation of state, are derived by two possible schemes. We have explored the shape function and energy conditions including null, weak, strong and dominant conditions. For this purpose, we used the equation of

Characterizations of quasiEinstein spacetimes and f(ℛ,G)gravity Int. J. Geom. Methods Mod. Phys. (IF 1.8) Pub Date : 20230822
Uday Chand De, Dipankar Hazra, Fatemah MofarrehFirst, we illustrate that a Ricci symmetric quasiEinstein spacetime is a static spacetime and belongs to Petrov classification I, D or O. We investigate conformally flat quasiEinstein spacetime as a solution of f(ℛ,G)gravity theory and explain the physical meaning of the Friedmann–Robertson–Walker metric. For the models f(ℛ,G)=μℛβ1Gβ2, (β1, β2 and μ are constants) and f(ℛ,G)=ℛ2−6G, various energy

Symmetries in Cartan’s formalism: A review with examples Int. J. Geom. Methods Mod. Phys. (IF 1.8) Pub Date : 20230817
Yuri Bonder, Cristóbal Corral, Oscar RamírezWe review an algorithm, in the context of gauge and gravity theories described by differential forms, to read off the symmetries of a physical system out of its action, which was originally proposed in [C. Corral and Y. Bonder, Symmetry algebra in gauge theories of gravity, Class. Quantum Grav.36 (2019) 045002]. In particular, we study the interplay between gauge symmetries and a gaugecovariant version

Thermodynamics of massless particles in curved spacetime Int. J. Geom. Methods Mod. Phys. (IF 1.8) Pub Date : 20230812
A. A. Araújo FilhoThis work is devoted to study the behavior of massless particles within the context of curved spacetime. In essence, we investigate the consequences of the scale factor C(η) of the Friedmann–Robertson–Walker metric in the Einstein–aether formalism to study photonlike particles. To do so, we consider the system within the canonical ensemble formalism in order to derive the following thermodynamic state

Scalar fields described by Dirac quaternion wave equation Int. J. Geom. Methods Mod. Phys. (IF 1.8) Pub Date : 20230811
Victor L. Mironov, Sergey V. MironovIn this paper, we discuss the fields described by Dirac wave equation written in Clifford algebra based on Macfalane quaternions. It is shown that the strengths of these fields are nonzero only in the area of sources and the interaction of such fields occurs by overlapping. We consider both the simple spherically symmetric models of sources, which demonstrate attractive and repulsive interaction, and

Optical solitons of a cubicquartic nonlinear Schrödinger equation with parabolic law nonlinearity in optical metamaterials Int. J. Geom. Methods Mod. Phys. (IF 1.8) Pub Date : 20230811
Sebahat Ebru Das, Muslum Ozisik, Mustafa Bayram, Aydin Secer, Pinar AlbayrakThis paper aims to reveal the effects of the fourthorder dispersion and parabolic law which comes from selfphase modulation on the soliton behavior of the cubicquartic nonlinear Schrödinger equation (CQNLSE) by using the modified new Kudryashov method. First, applying the complex wave transformation, the nonlinear ordinary differential form (NODE) has been obtained. Then, the modified new Kudryashov

Holographic description of F(R) gravity coupled with axion dark matter Int. J. Geom. Methods Mod. Phys. (IF 1.8) Pub Date : 20230808
Simone D’OnofrioIn this work, we study the autonomous dynamical system of different F(R) models in the formalism of holographic dark energy using the generalized Nojiri–Odintsov cutoff. We explicitly give the expression of the fixed points as functions of the infrared cutoff for vacuum F(R) gravity in flat and nonflat FRW background and for F(R) coupling axion dark matter. Each fixed point component can be taken

Compact relativistic sphere with charged anisotropic matter in f(R,G) gravity Int. J. Geom. Methods Mod. Phys. (IF 1.8) Pub Date : 20230808
M. Ilyas, Rohna IqbalThe main purpose of this research is to examine a number of interior configurations of stable anisotropic objects formed in the shape of spherical charged stars within the gravity region described by f(R,G), where G represents the Gauss–Bonnet invariant and R defines the Ricci Scalar in this scenario. The formation of these charged stars is investigated using the solutions found by Karori and Barua

Yukawa–Casimir wormhole model in F(R,T) framework Int. J. Geom. Methods Mod. Phys. (IF 1.8) Pub Date : 20230802
Shweta, Umesh Kumar Sharma, Ambuj Kumar MishraThere is an unavoidable association of traversability of wormholes to the violation of null energy condition which in turn indicates the presence of exotic or nonexotic matter in the wormhole geometry. The exotic matter possesses the negative energy that is required to sustain the wormhole. Recently studies are done to solve this problem so as to avoid the exotic matter. In this work, we attempt to

Deriving the generalized momentum operators from covariant derivatives Int. J. Geom. Methods Mod. Phys. (IF 1.8) Pub Date : 20230802
Mehdi Jafari MatehkolaeeThe generalized momentum operators are derived in the framework of nonrelativistic quantum mechanics, taking into account an especial assumption on the covariant derivative. According to this assumption, a scalar density doesn’t change under the action of covariant derivative. The Hermitian form of the covariant derivative is discussed. It is shown that, with the help of the adjoint of covariant derivatives

Observational constraints on a transit cosmological model in f(R,G) gravity Int. J. Geom. Methods Mod. Phys. (IF 1.8) Pub Date : 20230801
Bhupendra Kumar Shukla, R. K. Tiwari, D. SofuoğluIn this article, we examine the universe’s dynamical behaviour in the context of the f(R,G) theory of gravity, where R and G represent the Ricci scalar and GaussBonnet invariant, respectively. The modified field equations are solved for the selection of f(R,G) function as f(R,G)=RβG1−β and of the deceleration parameter as a linear function of Hubble parameter, i.e., q=n+mH. We predict the best fit

Inflation and cosmological evolution with F(R,𝒢) gravity theory Int. J. Geom. Methods Mod. Phys. (IF 1.8) Pub Date : 20230801
Dalia Saha, Jyoti Prasad Saha, Abhik Kumar SanyalIn the last decade Planck PR4 data together with groundbased experimental data such as BK18, BAO and CMB lensing tightened constraint of the tensortoscalar ratio, starting form r<0.14 to r<0.032, while the spectral index lies within the range 0.9631≤ns≤0.9705. Viability of modified gravity theories, proposed as alternatives to the dark energy issue, should therefore be tested in the light of such

Comparison of energy conditions in general relativity and modified theories of gravity Int. J. Geom. Methods Mod. Phys. (IF 1.8) Pub Date : 20230727
H. Rizwana Kausar, Amal Majid, Hafsa JameelTo make a comparison of energy conditions in the theory of general relativity and in the modified theories, we have considered f(R), f(R,T) and f(R,T,Q) theories (where R and T are the Ricci scalar and trace of the energy–momentum tensor, respectively, while Q=TabRab) to test the validity of all the four energy conditions. These energy conditions had been derived to check the viability of cosmological

The generalized weakly Ricci symmetric structure Int. J. Geom. Methods Mod. Phys. (IF 1.8) Pub Date : 20230727
Haradhan Kundu, Kanak Kanti Baishya, Indranil RoyThis paper attempts to study some geometric properties along with the existence of a generalized weakly Ricci symmetric manifold and find out the reduced form of defining conditions of such a manifold. It is observed that every generalized weakly Ricci symmetric manifold is an almost generalized pseudoRicci symmetric manifold. We also find out the conditions for which a weakly Ricci symmetric manifold

Implications of Palatini gravity for inflation and beyond Int. J. Geom. Methods Mod. Phys. (IF 1.8) Pub Date : 20230725
Ioannis D. Gialamas, Alexandros Karam, Thomas D. Pappas, Eemeli TombergIn this paper, we present an introduction to cosmic inflation in the framework of Palatini gravity, which provides an intriguing alternative to the conventional metric formulation of gravity. In the latter, only the metric specifies the spacetime geometry, whereas in the former, the metric and the spacetime connection are independent variables—an option that can result in a gravity theory distinct

Nonextensive Gross Pitaevskii Equation Int. J. Geom. Methods Mod. Phys. (IF 1.8) Pub Date : 20230725
Mahnaz Maleki, Hosein Mohammadzadeh, Zahra EbadiIn this paper, we consider the generalization of Gross Pitaevskii equation for condensate of bosons with nonextensive statistics. First, we use the nonadditive methods and formalism to obtain the wellknown Schrödinger equation. Using a suitable Hamiltonian for condensate phase and minimizing the free energy of the system by nonadditive formalism, we work out the nonextensive Gross Pitaevskii equation

Fermions tunneling of Kerr–Newman–de Sitter black hole in Lorentz violation theory Int. J. Geom. Methods Mod. Phys. (IF 1.8) Pub Date : 20230725
Ningthoujam Media, Y. Onika Laxmi, T. Ibungochouba SinghIn this paper, the tunneling of fermions near the event horizon of Kerr–Newman–de Sitter (KNdS) black hole is investigated in frame dragging coordinate systems, Eddington coordinate system and Painleve coordinate system by using Dirac equation with Lorentz violation theory, Feynman prescription and WKB approximation. The Hawking temperature, heat capacity and change in black hole entropy of the black

Generalization of compressible fluid equations in terms of complexified octonions Int. J. Geom. Methods Mod. Phys. (IF 1.8) Pub Date : 20230724
Süleyman Demir, Murat Tanışlı, Mustafa Emre KansuUsing the attractive properties of octonion algebra, an alternative formulation has been proposed for the Maxwelltype equations of compressible fluids. Although the origins of electromagnetic theory and fluid mechanics are completely different, a series of suitable and elegant 8dimensional equations have been derived in a form similar to electromagnetic, gravitational counterparts previously given

General teleparallel metrical geometries Int. J. Geom. Methods Mod. Phys. (IF 1.8) Pub Date : 20230724
Muzaffer Adak, Tekin Dereli, Tomi S. Koivisto, Caglar PalaIn the conventional formulation of general relativity, gravity is represented by the metric curvature of Riemannian geometry. There are also alternative formulations in flat affine geometries, wherein the gravitational dynamics is instead described by torsion and nonmetricity. These socalled general teleparallel geometries may also have applications in material physics, such as the study of crystal

Exploring the bouncing cosmological models in symmetric teleparallel gravity Int. J. Geom. Methods Mod. Phys. (IF 1.8) Pub Date : 20230724
Alfred Y. ShaikhIn this study, the bouncing cosmological models have been presented in the nonmetricitybased gravitational theory, the f(Q) gravity, where Q be the nonmetricity scalar. The two bouncing cosmological models, one in which the Lagrangian f(Q) is assumed to have a linear dependence on Q and the other in which it has a polynomial functional form have been shown. It has been obtained that the parameters

Relativistic configurations of Tolman stellar spheres in f(𝒢,𝒯 ) gravity Int. J. Geom. Methods Mod. Phys. (IF 1.8) Pub Date : 20230724
Tayyaba Naz, Adnan Malik, Dania Gillani, Fatemah MofarrehThis study is devoted to investigate the formation of compact stars using Tolman–Kuchowicz spacetime in f(𝒢,𝒯) gravity. By taking into account the physically reliable formulations of metric potentials, ξ = Br2+2lnC and η = ln(1+ar2+br4), we investigate the equation of motion for spherically symmetric spacetime in the presence of an anisotropic matter distribution. Furthermore, matching conditions

Noncommutative wormhole in nonminimal curvature–matter coupling of f(R) gravity with Gaussian and Lorentzian distributions Int. J. Geom. Methods Mod. Phys. (IF 1.8) Pub Date : 20230722
Ujjal Debnath, Niyaz Uddin Molla, Anirudh PradhanIn this work, we construct two new wormhole solutions in the theory dealing with nonminimal coupling between curvature and matter. We take into account an explicitly nonminimal coupling between an arbitrary function of scalar curvature R and the Lagrangian density of matter. For this purpose, we discuss the Wormhole geometries inspired by nonminimal curvature coupling in f(R) gravity for linear

Accretion of modified Chaplygin–Jacobi gas and modified Chaplygin–Abel gas onto Schwarzschild black hole Int. J. Geom. Methods Mod. Phys. (IF 1.8) Pub Date : 20230719
Puja Mukherjee, Ujjal Debnath, Anirudh PradhanHerein, we have discussed about the accretion of two extremely interesting forms of dark energies, namely “Modified Chaplygin–Jacobi Gas” (MCJG) and “Modified Chaplygin–Abel Gas” (MCAG) onto a Schwarzschild black hole of dimension 4. First, considering the abovementioned dark energies, we have deduced the rate of change of mass and then evolved the required mass from it in terms of the redshift z

PDM Klein–Gordon particles in Som–Raychaudhuri cosmic string spacetime with spacelike dislocation and a magnetic field: Spacetime associated degeneracies, vorticityenergy, and chargeenergy correlations Int. J. Geom. Methods Mod. Phys. (IF 1.8) Pub Date : 20230719
Omar MustafaWe explicitly study and report the effects of the gravitational fields on the spectroscopic structure of Klein–Gordon (KG) particles in Som–Raychaudhuri cosmic string spacetime with spacelike dislocation and a magnetic field. We extend this study to include the effects of the gravitational fields on some positiondependent mass (PDM) KGparticles. As effects of the gravitational fields, we report

LRS Bianchi typeI cosmological model in f(Q,T) theory of gravity with observational constraints Int. J. Geom. Methods Mod. Phys. (IF 1.8) Pub Date : 20230717
Y. S. Solanke, A. P. Kale, D. D. Pawar, V. J. DagwalWe have investigated LRS Bianchi typeI cosmological model in f(Q,T) theory of gravity with observational constraints. In f(Q,T) theory of gravity Q is nonmetricity and T is a trace of energy–momentum tensor. Two different functional forms of f(Q,T)=AQ+BT and f(Q,T)=AQn+BT are considered in this work where A, B and n are model parameters. We have obtained the bestfit values of constant parameters

Observational constraints on transit reconstructed Tsallis f(T) gravity Int. J. Geom. Methods Mod. Phys. (IF 1.8) Pub Date : 20230714
S. H. Shekh, G. Mustafa, A. Caliskan, E. Güdekli, A. PradhanAt present, we are aware that some recent changes in the cosmos cannot be explained by the standard interpretation of general relativity. In order to do so, we used the reconstruction scheme for recently proposed f(T) gravity to look into the universe’s accelerated expansion. Here, we define the transit scale factor (TSF), a scale factor used to explain several geometrical and physical aspects. Then

Multiwaves, homoclinic breathers, interaction solutions along with blackgrey solitons for propagation in absence of selfphase modulation with higher order dispersions Int. J. Geom. Methods Mod. Phys. (IF 1.8) Pub Date : 20230708
Aly R. Seadawy, Syed T. R. Rizvi, Sarfaraz AhmedThis template retrieves Mshaped rational solitons and their interactions with kink waves, homoclinic breathers, multiwave, Greyblack optical solitons, periodic crossrational solitons and kink crossrational solitons propagation in optical fibers where selfphase modulation (SPM) is negligibly minor and therefore removed. The proposed equation contains spatiotemporal dispersions (STD), of second

A combinatorial derivation of the standard model interactions from the Dirac Lagrangian Int. J. Geom. Methods Mod. Phys. (IF 1.8) Pub Date : 20230710
Charlie BeilA composite model of the standard model particles was recently derived using the Dirac Lagrangian on a spacetime where time does not advance along the worldlines of fundamental dust particles, called an ‘internal spacetime’. The aim of internal spacetime geometry is to model certain quantum phenomena using (classical) degenerate spacetime metrics. For example, on an internal spacetime, tangent spaces

Deflection angle analysis under the influence of nonplasma medium and plasma medium for regular black hole with cosmic string Int. J. Geom. Methods Mod. Phys. (IF 1.8) Pub Date : 20230706
Xiaoling He, Suhang Zhu, Yun Yu, Anosha Karamat, Rimsha Babar, Riasat AliBy applying the Keeton and Petters technique, we find the deflection angle as a series expansion with a specific factor of mass. We investigate the shadow structure of a regular black hole with cosmic string with a nonmagnetized, pressurefree plasma around it. In order to separate the Hamilton equation and locate the photon areas, certain plasma distributions are taken into consideration. Moreover

Equivalent quantum systems Int. J. Geom. Methods Mod. Phys. (IF 1.8) Pub Date : 20230706
M. CarusoWe have studied quantum systems on finitedimensional Hilbert spaces and found that all these systems are connected through local transformations. Actually, we have shown that these transformations give rise to a gauge group that connects the Hamiltonian operators associated with each quantum system. This bridge allows us to connect different quantum systems, in such a way that studying one of them

Deep learning and geometric deep learning: An introduction for mathematicians and physicists Int. J. Geom. Methods Mod. Phys. (IF 1.8) Pub Date : 20230705
R. Fioresi, F. ZanchettaIn this expository paper, we want to give a brief introduction, with few key references for further reading, to the inner functioning of the new and successful algorithms of Deep Learning and Geometric Deep Learning with a focus on Graph Neural Networks. We go over the key ingredients for these algorithms: the score and loss function and we explain the main steps for the training of a model. We do

The geometrical meaning of the Weitzenböck connection Int. J. Geom. Methods Mod. Phys. (IF 1.8) Pub Date : 20230705
Alexey GolovnevIn the literature, there are many discussions about the local Lorentz invariance of modified teleparallel gravity. This symmetry is obviously violated in the classical “pure tetrad” formulation of the theory, while it gets restored in the “fully covariant” approach. My claim is that, despite many heated discussions, the two formulations are just equivalent. The purpose of this note is to argue that

Black holes in R2dRGT massive gravity Int. J. Geom. Methods Mod. Phys. (IF 1.8) Pub Date : 20230704
Amin Rezaei Akbarieh, Pouneh Safarzadeh Ilkhchi, Yousef Izadi, Minou KhoshrangbafMassive gravity offers an interesting modification of general relativity by considering a nonzero mass for the graviton. We present a de Rham, Gabadadze and Tolley (dRGT) massive gravity model in the presence of higher order curvature gravity. We obtain a spherical solution for the field equations in this theory. The spherical solution possesses an electric charge and a cosmological constant, and it

Ideals and conjugacy classes in solvable Lie algebras Int. J. Geom. Methods Mod. Phys. (IF 1.8) Pub Date : 20230630
Sajid Ali, Hassan Azad, Indranil Biswas, Fazal M. MahomedA constructive procedure is given to determine all ideals of a finitedimensional solvable Lie algebra. This is used in determining all conjugacy classes of subalgebras of a given finitedimensional solvable Lie algebra.

Quintessence like behavior of symmetric teleparallel dark energy: Linear and nonlinear model Int. J. Geom. Methods Mod. Phys. (IF 1.8) Pub Date : 20230627
A. Hanin, M. Koussour, Z. Sakhi, M. BennaiIn Einstein’s General Relativity (GR), the gravitational interactions are described by the spacetime curvature. Recently, other alternative geometric formulations and representations of GR have emerged in which the gravitational interactions are described by the socalled torsion or nonmetricity. Here, we consider the recently proposed modified symmetric teleparallel theory of gravity or f(Q) gravity

New traversable wormhole solutions in Einstein Gauss–Bonnet gravity Int. J. Geom. Methods Mod. Phys. (IF 1.8) Pub Date : 20230627
M. Zubair, Mushayydha Farooq, Ertan Gudekli, Hafiza Rizwana Kausar, G. D. Acan YildizThis paper explores the existence of static wormholes in 4Dimensional Einstein Gauss–Bonnet (4D EGB) gravity. We discuss some possibilities for constructing radialdependent shape functions via different strategies to develop some nonconventional wormhole geometries by considering anisotropic matter sources. In this regard, we assume a specific form of the equation of state and investigate its effects

Tachyonic dark energy in general relativity and teleparallel frameworks Int. J. Geom. Methods Mod. Phys. (IF 1.8) Pub Date : 20230627
S. Bellucci, A. BanijamaliThis paper is intended to review the consequences of assuming tachyon scalar field as a candidate for dark energy from dynamical system technique and observational cosmology point of views. In the contexts of general relativity and teleparallel gravity, a variety of nonminimally coupled tachyon fields have been taken into consideration. These models provide us subclasses of scalartensor and scalartorsion

The failure of Wigner function negativity to detect quantum dissonance in an open bipartite system Int. J. Geom. Methods Mod. Phys. (IF 1.8) Pub Date : 20230627
FatimaZahra Siyouri, Yassine HassouniWe study the dynamics of Wigner function, quantum discord, entanglement and quantum dissonance for bipartite Belldiagonal states independently interacting with dephasing reservoirs. We analyze comparatively their behavior under the decoherence effect. Our main goal is to test the ability of Wigner function negativity to measure all kinds of quantum correlations in such system. Particularly, we find

On the harmonic evolute of timelike Hasimoto surfaces in Lorentz–Minkowski space Int. J. Geom. Methods Mod. Phys. (IF 1.8) Pub Date : 20230627
M. Khalifa SaadThe movement of a thin vortex in a thin viscous fluid by the motion of a curve propagating in Lorentz–Minkowski space E13 is described by the vortex filament or smoke ring equation and can be viewed as a dynamical system on the space curves in E13. This paper investigates the harmonic evolute surfaces of timelike Hasimoto surfaces in E13. Also, we discuss the geometric properties of these surfaces

Energy–momentum tensor: Noether vs Hilbert Int. J. Geom. Methods Mod. Phys. (IF 1.8) Pub Date : 20230627
Yakov ItinSeveral definitions of the energy–momentum tensor in classical field models on differential manifolds are examined in this work. We specifically talk about the connection between  Hilbert’s symmetric and Noether’s asymmetric energy–momentum tensors. We consider a matter field Lagrangian on a manifold endowed with a teleparallel (coframe) structure. The associated 3form of coframe conserved current

Noether symmetries for a class of static plane symmetric solutions in f(T) gravity Int. J. Geom. Methods Mod. Phys. (IF 1.8) Pub Date : 20230622
Mushtaq Ahmad, Muhammad Ramzan, Fiaz Hussain, Shabeela MalikIt is well known that the Noether symmetry approach is beneficial for searching physically realistic models that are solutions of the Einstein field equations (EFEs). Particularly, the generators obtained via Noether symmetry help to extract conservation laws of physics. The main goal of this study is to investigate the Noether symmetries for a class of static plane symmetric solutions in the f(T)

On the anisotropic bouncing universe with viscosity Int. J. Geom. Methods Mod. Phys. (IF 1.8) Pub Date : 20230622
Ashutosh Singh, Rakesh Raushan, Raghavendra ChaubeyWe investigate the role of bulk and shear viscosity in the spatially homogeneous anisotropic spacetime, in particular, the Kantowski–Sachs (KS) spacetime. General conditions for the bouncing evolution of universe in anisotropic background have been obtained by using the derived propagation equations of expansion scalar, shear scalar and spatial 3curvature. We show that the presence of shear viscosity

Dark energy nature in logarithmic f(R,T) cosmology Int. J. Geom. Methods Mod. Phys. (IF 1.8) Pub Date : 20230622
Dinesh Chandra Maurya, Jagat Singh, Lalit Kumar GaurThis research paper is an investigation of dark energy nature of logarithmic f(R,T)gravity cosmology in a flat FLRW space–time universe. We have derived modified Einstein’s field equations for the function f(R,T)=R−16πGαln(T) where R is the Ricci scalar curvature, T is the trace of the stress energy momentum tensor, and α is a model parameter. We have solved field equations in the form of two fluid

Little Rip, Pseudo Rip and bounce cosmology from generalized equation of state in the universe with spatial curvature Int. J. Geom. Methods Mod. Phys. (IF 1.8) Pub Date : 20230621
A. V. Timoshkin, A. V. YurovWe consider the Little Rip (LR), Pseudo Rip (PR) and bounce cosmological models in the Friedmann–Robertson–Walker (FRW) metric with nonzero spatial curvature. We describe the evolution of the universe using a generalized equation of state (EoS) in the presence of a viscous fluid. The conditions of the occurrence of the LR, PR and bounce were obtained from the point of view of the parameters of the

Optical quantum longitudinal conformable normalization energy of timelike spherical magnetic fibers Int. J. Geom. Methods Mod. Phys. (IF 1.8) Pub Date : 20230617
Talat Körpinar, Zeliha Körpinar, Hatice ÖzdemirIn this work, we calculate new concept for their Fermi–Walker conformable derivatives with spherical timelike magnetic fiber in spherical deSitter space 𝕊12. The description is advanced for timelike magnetic trajectory. First, we find conformable fractional derivatives of spherical magnetic Lorentz fields. Moreover, we compute the Fermi–Walker conformable derivatives of the normalization and recursion

Singularity properties of timelike circular surfaces in Minkowski 3space Int. J. Geom. Methods Mod. Phys. (IF 1.8) Pub Date : 20230616
Areej A. Almoneef, Rashad A. AbdelBakyThe approach of the study is on singularity properties of timelike circular surfaces in Minkowski 3space. A timelike circular surface is a oneparameter set of Lorentzian circles with stationary radius directing a nonnull space curve, which acts as the spine curve, and it has symmetrical properties. In this study, we addressed timelike circular surfaces and gained their geometric and singularity

Study of bound states for diatomic molecules by resolution of Schrödinger equation with pseudoharmonic and Mie potentials via Nikiforov–Uvarov (NU) method Int. J. Geom. Methods Mod. Phys. (IF 1.8) Pub Date : 20230613
Khalid Reggab, Houssam Eddine HailoufAtomic physicists have faced the challenge of solving the Schrödinger equation for a system composed of N electrons that experience both the attractive Coulomb force from the nucleus and the repulsive Coulomb force between each pair of electrons. The resolution of the Schrödinger equation and finding the bound states and the eigenfunctions of the mentioned equation are resolved by using many different

Fourdimensional SO(3)spherically symmetric Berwald Finsler spaces Int. J. Geom. Methods Mod. Phys. (IF 1.8) Pub Date : 20230606
Samira Cheraghchi, Christian Pfeifer, Nicoleta VoicuWe locally classify all SO(3)invariant fourdimensional pseudoFinsler Berwald structures. These are Finslerian geometries which are closest to (spatially, or SO(3))spherically symmetric pseudoRiemannian ones — and serve as ansatz to find solutions of Finsler gravity equations which generalize the Einstein equations. We find that there exist five classes of nonpseudoRiemannian (i.e. nonquadratic

Bardeen Tolman–Kuchowicz spheres in logarithmiccorrected R2 gravity Int. J. Geom. Methods Mod. Phys. (IF 1.8) Pub Date : 20230606
M. Farasat Shamir, Ammara Usman, Tayyaba Naz, Ali H. Alkhaldi, Akram AliThis study enlightens the effect of electric charge in the context of Logarithmiccorrected R2 gravity model by assuming the specific form of metric potentials ν(r)=Br2+2ln(C) and λ(r)=ln(1+ar2+br4), known as Tolman–Kuchowicz spacetime. The key feature of our study is to assume the Bardeen model to narrate the nature of exterior geometry. This discussion enhances the analysis as the Bardeen black hole

Killing vectors and magnetic curves associated to Bott connection in Heisenberg group Int. J. Geom. Methods Mod. Phys. (IF 1.8) Pub Date : 20230531
Haiming Liu, Yuefeng Hua, Xiawei Chen, Jinli YangIn this paper, we define the notion of Bott connection in the Heisenberg group (ℍ3,g) and derive the expression of the Bott connection by using the LeviCivita connection. Moreover, we derive the expressions of killing vector fields by using the killing equation and obtain some explicit formulas for killing magnetic curves associated to the Bott connection. Furthermore, we give some examples of killing

Quantum spinor reflections in Minkowski spacetime Int. J. Geom. Methods Mod. Phys. (IF 1.8) Pub Date : 20230531
Alcides GaratWe will study Dirac spinors under reflections. Since it has been discovered that local Abelian electromagnetic gauge transformations can generate a causality reflection through the sign of the norm of tetrad vectors, it has become relevant to study Dirac spinors under this particular kind of transformation. We will find suitable quantum operators for discrete reflections in Minkowski spacetime and

Charged wormholes in Hybrid metricPalatini gravity Int. J. Geom. Methods Mod. Phys. (IF 1.8) Pub Date : 20230531
Nisha GodaniThe theory of Hybrid metricPalatini gravity was proposed by Harko et al. [MetricPalatini gravity unifying local constraints and latetime cosmic acceleration, Phys. Rev. D 85 (2012) 084016.] in 2012 which could explain both local and cosmological observations. In this paper, this theory has been taken into account to obtain static, spherical, and symmetric charged traversable wormhole solutions.

A derivation of the standard model particles from internal spacetime Int. J. Geom. Methods Mod. Phys. (IF 1.8) Pub Date : 20230530
Charlie Beil‘Internal spacetime’ is a modification of general relativity that was recently introduced as an approximate spacetime geometric model of quantum nonlocality. In an internal spacetime, time is stationary along the worldlines of fundamental (dust) particles. Consequently, the dimensions of tangent spaces at different points of spacetime vary, and spin wavefunction collapse is modeled by the projection

The Jtwist DJ of the Dirac operator and the Kastler–Kalau–Walze type theorem for sixdimensional manifolds with boundary Int. J. Geom. Methods Mod. Phys. (IF 1.8) Pub Date : 20230529
S. Liu, Y. WangIn [S. Liu and Y. Wang, A Kastler–Kalau–Walze type theorem for the Jtwist DJ of the Dirac operator, preprint (2022), arXiv:2203.10467], the authors proved a Kastler–Kalau–Walze type theorem for the Jtwist DJ of the Dirac operator on 3dimensional and 4dimensional almost product Riemannian spin manifold with boundary. In this paper, we develop the Kastler–Kalau–Walze type theorem for the Jtwist

Challenging f(R,T) theory with ΛCDM model through cosmographic parameters Int. J. Geom. Methods Mod. Phys. (IF 1.8) Pub Date : 20230526
M. J. S. Houndjo, E. H. Baffou, T. HoungueIn this paper, we reconstruct a f(R,T) model where R and T are the curvature scalar and the trace of the stresstensor, respectively, and confront it with ΛCDM model through the cosmographic parameters. The reconstructed f(R,T) model is fundamentally characterized by a input parameter β for which some suitable values are chosen. Our results show that for some values of these parameters the reconstructed

On the nonlocal thirdorder inhomogeneous Heisenberg spin system with selfconsistent potential Int. J. Geom. Methods Mod. Phys. (IF 1.8) Pub Date : 20230526
Jingjing Ge, Chuanzhong LiWe first obtain the Lax pair of the thirdorder inhomogeneous Heisenberg system by equivalent transformation and obtain the thirdorder inhomogeneous Heisenberg system with selfconsistent potential. Second, we discuss the nonlocal thirdorder inhomogeneous Heisenberg system with selfconsistent potential and its nonlocal conditions. Further, the Darboux transformation of the nonlocal thirdorder inhomogeneous

Symmetry and conservation laws of the (2+1)dimensional nonlinear Schrödingertype equation Int. J. Geom. Methods Mod. Phys. (IF 1.8) Pub Date : 20230523
Nurzhan Serikbayev, Akbota SaparbekovaIn this work, we study the (2+1)dimensional nonlinear Schrödingertype equation that is related to many physical phenomena in nonlinear optical fibers and water waves. Some properties of the (2+1)dimensional nonlinear Schrödingertype equation are considered. We determine the infinitesimal generators, an optimal system and a commutator table of the Lie algebra by using Lie symmetry analysis. Also

Geometric Schrödinger microfluidic modeling for spherical ferromagnetic mKdV flux Int. J. Geom. Methods Mod. Phys. (IF 1.8) Pub Date : 20230523
Talat Körpinar, Zeliha Körpinar, Erdal KorkmazIn this paper, we present a different technique for investigating spherical Stmicrofluidic optical mKdV electromotive ϕ(r),ϕ(t),ϕ(n) forces in 𝕊2. Then, we give some relations for ferromagnetic spherical Stmicrofluidic optical mKdV magnetic ϕ(r),ϕ(t),ϕ(n) flux density. Ferromagnetic spherical Stmicrofluidic optical mKdV magnetic ϕ(r),ϕ(t),ϕ(n) flux surface model. Finally, we obtain spherical Stmicrofluidic