样式： 排序： IF:  GO 导出 标记为已读

Linear stability of Bardeen antide Sitter thinshell wormhole in f(R) gravity Int. J. Geom. Methods Mod. Phys. (IF 1.873) Pub Date : 20220812
Nisha GodaniIn this paper, the construction of thinshell wormholes is crafted from two Bardeen antide Sitter black holes by using the cut and paste approach in the f(R) theory of gravity. The f(R)=R+αRn+βR−m gravity model is considered to obtain the wormhole solutions. The stability is checked for linear perturbation around some static solution. The concavity nature of the potential function is examined by variation

Lie symmetry analysis of time fractional Burgers equation, Kortewegde Vries equation and generalized reactiondiffusion equation with delays Int. J. Geom. Methods Mod. Phys. (IF 1.873) Pub Date : 20220812
Jicheng YuIn this paper, Lie symmetry analysis method is applied to time fractional Burgers equation, Kortewegde Vries equation and generalized reactiondiffusion equation with delays, respectively. The Lie symmetries for fractional partial differential equations with delays (DFPDEs) are obtained, and the group classifications of the equations are established. The obtained group generators are used to reduce

Periodic and breather solutions for miscellaneous soliton in metamaterials model by computational schemes Int. J. Geom. Methods Mod. Phys. (IF 1.873) Pub Date : 20220809
Sherin Youns Mohyaldeen, Jalil Manafian, Onur Alp Ilhan, Mostafa Abotaleb, Afandiyeva HajarIn this paper, the novel exact solitary wave solutions for the generalized nonlinear Schrödinger equation with parabolic nonlinear (NL) law employing the improved cosh(Γ(ϖ))−sech(Γ(ϖ)) function scheme and the combined cos(Γ(ϖ))−sec(Γ(ϖ)) function scheme are found. Diverse collections of hyperbolic and trigonometric function solutions acquired rely on a map between the considered equation and an auxiliary

Efficient tracefree decomposition of symmetric tensors of arbitrary rank Int. J. Geom. Methods Mod. Phys. (IF 1.873) Pub Date : 20220809
Viktor T. Toth, Slava G. TuryshevSymmetric tracefree tensors are used in many areas of physics, including electromagnetism, relativistic celestial mechanics and geodesy, as well as in the study of gravitational radiation and gravitational lensing. Their use allows integration of the relevant wave propagation equations to arbitrary order. We present an improved iterative method for the tracefree decomposition of symmetric tensors

Analysis of direct and indirect detection of fermionic dark matter of 6dimensional effective field theory Int. J. Geom. Methods Mod. Phys. (IF 1.873) Pub Date : 20220809
Ayşe Elçi̇boğa Kuday, Ferhat Özok, Erdi̇ç Ulaş SakaWe present an analysis of fermionic dark matter (DM) in the context of 6dimensional Effective Field Theory (EFT). We also compared the result generated via 6dimensional EFT analysis with the current experimental results for dark matter searches. These experiments are methodically categorized as direct and indirect searches and present some constraints on dark matter model parameters of 6dimensional

Agegraphic Model based on the generalized uncertainty principle Int. J. Geom. Methods Mod. Phys. (IF 1.873) Pub Date : 20220809
S. Davood Sadatian, A. SabouriMany models of dark energy have been proposed to describe the universe since the beginning of the Big Bang. In this study, we present a new model of agegraphic dark energy based on the three generalized uncertainty principles KMM (Kempf, Mangan, Mann), Nouicer and GUP∗ (higher orders generalized uncertainty principle). Using the obtained relations from three types of Generalized Uncertainty Principle

Alternative entropies and consistent black hole thermodynamics Int. J. Geom. Methods Mod. Phys. (IF 1.873) Pub Date : 20220809
Shin’ichi Nojiri, Sergei D. Odintsov, Valerio FaraoniWhile the Bekenstein–Hawking entropy is the unique notion of entropy that makes classical black hole thermodynamics consistent, alternative entropy notions (Rényi, Tsallis, and generalized constructs) abound in the literature. We explore conditions under which they are part of a consistent horizon thermodynamics for certain classes of modified gravity black holes. We provide examples in which black

Black strings thermodynamics in noncommutative spacetime Int. J. Geom. Methods Mod. Phys. (IF 1.873) Pub Date : 20220806
João Chakrian, Antônio de Pádua SantosBlack holes have been a subject of investigation over years not only because they have interesting physical properties, but also because they seem to be the appropriate tool for studying gravity in quantum scale. A lot of effort has been made to understand the aspects of spacetime on the quantum scale. Among several possibilities, the approach which includes noncommutativity of spacetime proves to

Lagrangian corresponding to some Gup models Int. J. Geom. Methods Mod. Phys. (IF 1.873) Pub Date : 20220730
Won Sang Chung, Narges Heidari, Hassan Hassanabadi, Hosein MohammadzadehIn this paper, we introduce the generalized Legendre transformation for the GUP Hamiltonian. From this, we define the noncanonical momentum. We interpret the momentum in GUP as the noncanonical momentum. We construct the GUP Lagrangian for some GUP models.

ModMax model of nonlinear electrodynamics without the linear term Int. J. Geom. Methods Mod. Phys. (IF 1.873) Pub Date : 20220730
S. Habib MazharimousaviThe ModMax model of nonlinear electrodynamics (NED) is investigated in the absence of the linear term. The linear term is itself a ModMax model, however, the nonlinear term is not. First, in (3+1)dimensional Minkowski spacetime, we introduce the electromagnetic theory in this NED model. We find the vacuum electric permittivity and magnetic permeability which both are in tensor form. This shows that

A new perspective on quantum field theory revealing possible existence of another kind of fermions forming dark matter Int. J. Geom. Methods Mod. Phys. (IF 1.873) Pub Date : 20220729
Matej PavšičQuantum fields are considered as generators of infinitedimensional Clifford algebra Cl(∞), which can be either orthogonal (in the case of fermions) or symplectic (in the case of bosons). A generic quantum state can be expressed as a superposition of the basis elements of Cl(∞), with the superposition coefficients being multiparticle complexvalued wavefunctions. The basis elements, that are products

Turańtype inequalities for two hypergeometric supertrigonometric functions associated with Kummer confluent hypergeometric series of first type Int. J. Geom. Methods Mod. Phys. (IF 1.873) Pub Date : 20220729
Lu Lu Geng, Xiao Jun YangIn the paper, on account of the Kummer confluent hypergeometric series of first type, we suggest the Turańtype inequalities for the hypergeometric supersine and supercosine functions by using the Cauchy–Bunyakovsky–Schwarz inequality.

Novel hybrid solitary waves and shrunkenperiodic solutions, solitary Moiré pattern and conserved vectors of the (4 + 1)Fokas equation Int. J. Geom. Methods Mod. Phys. (IF 1.873) Pub Date : 20220729
Nardjess Benoudina, Yi Zhang, Chaudry Masood Khalique, Nassim BessaadIn this paper, we present a comprehensive study on the (4+1)Fokas equation that includes new solutions and conservation laws of the equation. Specifically, for the first time, new shrunkenperiodic and fascinating interactions on the bright soliton background have been investigated. Furthermore, a bright, dark, dipole soliton, tripole soliton, multipole soliton, periodic, doublyperiodic, dampedperiodic

Phantom dark energy nature of bulkviscosity universe in modified f(Q)gravity Int. J. Geom. Methods Mod. Phys. (IF 1.873) Pub Date : 20220729
Archana Dixit, Dinesh Chandra Maurya, Anirudh PradhanThis paper deals with an anisotropic cosmological model in the modified theory of f(Q)gravity filled with bulkviscosity fluid. We investigated the modified f(Q)gravity with quadratic form f(Q)=−αQ2, where Q is the nonmetricity scalar and α is a positive constant, in LocallyRotationally Symmetric (LRS) Bianchi typeI space time universe. We have solved the modified Einstein’s field equations with

Anisotropic effect on barrow holographic dark energy Int. J. Geom. Methods Mod. Phys. (IF 1.873) Pub Date : 20220727
Umesh Kumar Sharma, Gunjan Varshney, Vipin Chandra Dubey, Mukesh KumarIn this paper, we investigate a noninteracting model considering a spatially anisotropic and homogeneous Bianchi typeI Universe, filled with Barrow holographic dark energy (BHDE) and pressureless dark matter. We examine some important cosmological parameters for the evolutionary report and to witness adequate nature in BHDE model as including deceleration parameter, the jerk parameter, equation of

Gravitational lensing for powermaxwell charged quintessence black hole in Rastall gravity Int. J. Geom. Methods Mod. Phys. (IF 1.873) Pub Date : 20220726
Niyaz Uddin Molla, Ujjal DebnathIn this paper, we investigate the gravitational lensing for powerMaxwell charged quintessence black hole (BH) without cosmological constant in Rastall’s theory of gravity in both the strongfield limit and weakfield limit. Furthermore, we discuss the gravitational lensing by the linear electrodynamic (LE) and nonlinear electrodynamic (NLE) Maxwell field with the equation of state (EoS) parameter

Bouncing cosmological model with general relativistic hydrodynamics in extended gravity Int. J. Geom. Methods Mod. Phys. (IF 1.873) Pub Date : 20220726
A. Y. Shaikh, Sankarsan Tarai, S. K. Tripathy, B. MishraIn this paper, in an extended theory of gravity, we have presented bouncing cosmological model at the backdrop of an isotropic, homogeneous spacetime, in the presence of general relativistic hydrodynamics (GRH). The scale factor has been chosen in such a manner that with appropriate normalization, the quintom bouncing scenario can be assessed. Accordingly, the bounce occurs at t=0 and the corresponding

Modeling of Bianchi type I accelerating Universe in Lyra’s manifold Int. J. Geom. Methods Mod. Phys. (IF 1.873) Pub Date : 20220726
Preeti Shrivastava, Lalit Kumar Gupta, Rajendra Prasad, A. J. Khan, Sudhir Kumar Srivastava, G. K. Goswami, Anil Kumar YadavIn this paper, we have investigated a spatially homogeneous and anisotropic accelerating Universe in Lyra’s geometry. Einstein’s field equations are solved explicitly by assuming dependent relation among the directional scale factors. In this paper, we use observational H(z) data (OHD) and Pantheon compilation of recent type Ia supernovae (SN Ia) data to constrain the model parameters of the Universe

3Dimensional fKenmotsu manifolds and solitons Int. J. Geom. Methods Mod. Phys. (IF 1.873) Pub Date : 20220726
Arpan Sardar, Uday Chand De, Behzad NajafiIn this paper, Yamabe solitons, gradient Yamabe solitons and gradient ρEinstein solitons have been investigated on 3dimensional fKenmotsu manifolds. Moreover, we characterize 3dimensional fKenmotsu manifolds admitting ∗Ricci solitons and gradient ∗Ricci solitons, respectively.

Anisotropic strange stars with offdiagonal tetrad in f(T,𝒯 ) gravity Int. J. Geom. Methods Mod. Phys. (IF 1.873) Pub Date : 20220725
Faisal Javed, Munsif Jan, Allah Ditta, Shahid QaisarThis paper explores the aspects of compact stars in f(T,𝒯) gravity, where T and 𝒯 express the torsion and trace of the energy–momentum tensor. To achieve this goal, we consider a spherically symmetric spacetime with an anisotropic source of fluid. In particular, the Krori–Barua (KB) spacetime is considered to explore the solution of compact stars. In addition, we select three specific types of compact

Effect of Horndeski theory on weak deflection angle using the Gauss–Bonnet theorem Int. J. Geom. Methods Mod. Phys. (IF 1.873) Pub Date : 20220725
Ali Övgün, Yashmitha Kumaran, Wajiha Javed, Jameela AbbasThe main goal of this paper is to study the weak gravitational lensing by Horndeski black hole in weak field approximation. In order to do so, we exploit the Gibbons–Werner method to the optical geometry of Horndeski black hole and implement the Gauss–Bonnet theorem to accomplish the deflection angle of light in weak field region. Furthermore, we have endeavored to extend the scale of our work by comprising

The symplectic geometrical formulation of quantum hydrodynamics Int. J. Geom. Methods Mod. Phys. (IF 1.873) Pub Date : 20220725
Andika Kusuma Wijaya, Arief Hermanto, Muhammad Farchani RosyidQuantum hydrodynamics described by Madelung equations is analyzed in the framework of symplectic geometry i.e. in covariant phase space approach to geometric field theory. The presymplectic manifolds providing the phase spaces describing the Hamiltonian dynamics of quantum fluid are constructed from the set of all solutions of Madelung equations and their corresponding Lagrangian densities. The Madelung

Squeezing as a probe of the universality hypothesis Int. J. Geom. Methods Mod. Phys. (IF 1.873) Pub Date : 20220722
P. A. L. Mourão, H. A. S. Costa, P. R. S. CarvalhoWe compute analytically the radiative quantum corrections, up to nexttoleading loop order, to the universal critical exponents for both massless and massive O(N) λϕ4 scalar squeezed field theories for probing the universality hypothesis. For that, we employ six distinct and independent methods. The outcomes for the universal squeezed critical exponents obtained through these methods are identical

Invariance properties, exact and explicit solutions of timefractional Gear–Grimshaw model Int. J. Geom. Methods Mod. Phys. (IF 1.873) Pub Date : 20220715
Sait San, Bahri KoçIn this study, we consider a timefractional shallow water wave model which was introduced by Gear and Grimshaw. This model represents the dynamics of twolayered shallow water waves in oceans and rivers. Also it covers many shallow water wave models with special values taken to parameters. By performing the group invariant analysis approach for the governing system with Riemann–Liouville derivative

The matrices of Pauli quaternions, their De Moivre’s and Euler’s formulas Int. J. Geom. Methods Mod. Phys. (IF 1.873) Pub Date : 20220715
Mücahit Akbıyık, Seda Yamaç Akbıyık, Fatih YılmazIn this paper, we obtain Euler’s and De Moivre’s formulas for the 4×4 matrix representation of Pauli quaternions. Moreover, we provide De Moivre’s formula for the lightlike Pauli quaternions. Additionally, we give the nth roots of the matrix representation of Pauli quaternions. Moreover, we exemplify some of the results with illustrative examples to support the main formulas.

A study of charged stellar structure in modified f(R,ϕ,χ) gravity Int. J. Geom. Methods Mod. Phys. (IF 1.873) Pub Date : 20220715
Adnan Malik, Fatemah Mofarreh, Akram Ali, Mah Rukh HamidThe aim of this paper is to investigate and analyze the behavior of charged compact stars in the modified f(R,ϕ,χ) theory of gravity. When solving the field equations, we assume that Krori– Barua spacetime describes the geometry of the inner space [K. Krori and J. Barua, A singularityfree solution for a charged fluid sphere in general relativity, J. Phys. A Math. Gen.8 (1975) 508]. We further analyzed

On a geometric description of timedependent singular Lagrangians with applications to biological systems Int. J. Geom. Methods Mod. Phys. (IF 1.873) Pub Date : 20220715
Sudip Garai, A. GhoseChoudhury, Partha GuhaIn this paper, we consider certain analytical features of a stochastic model that can explain competition among species and simultaneous predation on the competing species from a geometric perspective. This allows us to build a systematic description of models admitting singular Lagrangians. The model equations are shown to admit a Jacobi Last Multiplier which allows us to construct an appropriate

Fluid accretion upon higherdimensional wormhole and black hole for parameterized deceleration parameter Int. J. Geom. Methods Mod. Phys. (IF 1.873) Pub Date : 20220715
Tanwi Bandyopadhyay, Ujjal DebnathIn this work, we study some parameterizations of the deceleration parameter and investigate the accretion of the fluid in these parameterized models upon the higherdimensional black hole (BH) and wormholes. For the undergoing analysis, (n+2)dimensional wormhole (proposed by Morris and Thorne) and Schwarzschild BH were chosen in the backdrop of higherdimensional Friedmann–Robertson–Walker (FRW) spacetime

Dynamics of charged string cloud collapse in rainbow gravity Int. J. Geom. Methods Mod. Phys. (IF 1.873) Pub Date : 20220715
Umber Sheikh, Sana Arshad, Muhammad ArshadThis work will proceed to examine the dynamics of collapsing charged string cloud in a spherically symmetric rainbow metric. This is the framework that allows new stars and compact objects to emerge. The dynamical variables (mass density, string tension) and their physical existence as energy conditions are computed and visually depicted. We also calculated the duration and radius of development of

Topological structures of event horizons along framed null Cartan curves in Minkowski space Int. J. Geom. Methods Mod. Phys. (IF 1.873) Pub Date : 20220715
Xintong Yu, Siyao Liu, Zhigang WangIn this work, we model two event horizons associated with a null Cartan curve as two lightlike hypersurfaces, respectively. We define a lightlike surface and a spacelike surface whose images coincide with the sets of critical values of two event horizons, and meanwhile we present two curves whose images coincide with the sets of critical values of these two surfaces, respectively. Using the singularity

Symmetry evolution for the imperfect fluid under perturbations Int. J. Geom. Methods Mod. Phys. (IF 1.873) Pub Date : 20220715
Alcides GaratEver since a new symmetry was found for the imperfect fluid with vorticity, the question of the effect of perturbations on the symmetry itself has been raised. This new symmetry arose when realizing that local fourvelocity gaugelike transformations would render the lefthand side of the Einstein equations invariant because the metric tensor would be invariant under this new kind of local transformations

A note on classification of Kantowski–Sachs and Bianchi type III solutions in f(T) gravity via conformal vector fields Int. J. Geom. Methods Mod. Phys. (IF 1.873) Pub Date : 20220715
Sabiha Qazi, Fiaz Hussain, M. Ramzan, Sirajul HaqConformal symmetries act as a source to investigate and classify exact solutions of the Einstein field equations (EFEs) via conformal vector fields (CVFs). It is well known that such classification leads to an important class of symmetries known as Killing symmetry which is the source of generating conservation laws of physics. In this paper, first we explore various classes of Kantowski–Sachs (KS)

On the perturbative formalism and a possible quantum Discrete spectrum for the Regge–Wheeler equation of a De Sitter spacetime Int. J. Geom. Methods Mod. Phys. (IF 1.873) Pub Date : 20220715
Stefano ViaggiuIn this paper, we study the perturbative regime in the static patch of de Sitter metric in the Regge–Wheeler formalism. After realizing that perturbative regime in a de Sitter spacetime depicted in terms of usual spherical coordinates cannot be extended up to the cosmological horizon, we study perturbative equations, in particular the axial ones, in terms of the tortoise coordinate r∗. We show that

Application of Herglotz’s variational principle to electromagnetic systems with dissipation Int. J. Geom. Methods Mod. Phys. (IF 1.873) Pub Date : 20220715
Jordi Gaset, Adrià MarínSalvadorThis work applies the contact formalism of classical mechanics and classical field theory, introduced by Herglotz and later developed in the context of contact geometry, to describe electromagnetic systems with dissipation. In particular, we study an electron in a nonperfect conductor and a variation of the cyclotron radiation. In order to apply the contact formalism to a system governed by the Lorentz

Symplectic structure of equilibrium thermodynamics Int. J. Geom. Methods Mod. Phys. (IF 1.873) Pub Date : 20220711
Luis AragónMuñoz, Hernando QuevedoThe contact geometric structure of the thermodynamic phase space is used to introduce a novel symplectic structure on the tangent bundle of the equilibrium space. Moreover, it turns out that the equilibrium space can be interpreted as a Lagrange submanifold of the corresponding tangent bundle, if the fundamental equation is known explicitly. As a consequence, Hamiltonians can be defined that describe

Cosmic hierarchy in f(R) gravity Int. J. Geom. Methods Mod. Phys. (IF 1.873) Pub Date : 20220708
Heba Sami, Amare AbebeIn this contribution, we investigate hierarchical nature of largescale structure clustering through the oscillatory nature of the solutions of the Schrödingerlike Friedmann equation in a modified gravitational background described by the f(R) gravity theory. We find the cosmological solutions to the Schrödinger equation for different ranges of n of the Rn toy model for both radiation and matterdominated

On fractional symmetry group scheme to the higherdimensional space and time fractional dissipative Burgers equation Int. J. Geom. Methods Mod. Phys. (IF 1.873) Pub Date : 20220708
JianGen Liu, XiaoJun Yang, LuLu Geng, XiaoJin YuIn this paper, we studied a higherdimensional space and time fractional model, namely, the (3+1)dimensional dissipative Burgers equation which can be used to describe the shallow water waves phenomena. Here, the analyzed tool is the Lie symmetry scheme in the sense of the Riemann–Liouville fractional derivative. First of all, the symmetry of this considered equation was yielded. Then, based on the

On the possible spacetime structures of rotating loop quantum black holes Int. J. Geom. Methods Mod. Phys. (IF 1.873) Pub Date : 20220708
CheYu ChenTo date, a mathematically consistent construction of effective rotating black hole models in the context of Loop Quantum Gravity (LQG) is still lacking. In this work, we start with the assumption that rotating LQG black hole metrics can be effectively obtained using Newman–Janis Algorithm. Then, based on a few extra fair assumptions on the seed metric functions, we make a conjecture on what a rotating

Geodesic structure of the quantumcorrected Schwarzschild black hole surrounded by quintessence Int. J. Geom. Methods Mod. Phys. (IF 1.873) Pub Date : 20220708
Kourosh Nozari, Milad HajebrahimiBy considering the backreaction of the spacetime through the spherically symmetric quantum fluctuations of the background metric, Kazakov and Solodukhin removed the singularity of the Schwarzschild black hole. This regular Schwarzschild black hole has a spherical central region with a radius of the order of the Planck length. On the other hand, due to the positively accelerating expansion of the Universe

Study of the effect of thermal radiation on singularities in presence of viscous holographic Ricci dark energy and modified Chaplygin gas Int. J. Geom. Methods Mod. Phys. (IF 1.873) Pub Date : 20220708
Sanjeeda Sultana, Gargee Chakraborty, Surajit ChattopadhyayThis work reports the effect of thermal radiation on singularities in the presence of holographic Ricci dark energy (HRDE) with generalized IR cutoff. The Eckart approach has been considered to initiate the study. The density of HRDE, which is a just particular cases of general Nojiri–Odintsov (NO) HDE [S. Nojiri and S. D. Odintsov, Unifying phantom inflation with latetime acceleration: Scalar phantomnonphantom

Nonmetricity on Riemann–Cartan–Weyl manifold: Its physical and mathematical meaning and application Int. J. Geom. Methods Mod. Phys. (IF 1.873) Pub Date : 20220708
Mitsuhiro Hirano, Hiroyuki NagahamaThe physical meaning and mathematical meaning of nonmetricity on Weyl manifold and the application of dual affine connection for it are discussed. In viewpoint from affine connection, Weyl 1form in Weyl manifold is recognized as nonmetricity and causes scale change with conformal invariance under parallel transport. On manifolds expressing spacetime and material space, Weyl 1form is equivalent to

Integrable couplings of two expanded nonisospectral soliton hierarchies and their biHamiltonian structures Int. J. Geom. Methods Mod. Phys. (IF 1.873) Pub Date : 20220708
Zhenbo Wang, Haifeng WangStarting from two matrix spectral problems associated with the real special orthogonal Lie algebra so(3,ℝ), two nonisospectral hierarchies of Ablowitz–Kaup–Newell–Segur (AKNS) type and Kaup–Newell (KN) type are constructed. In addition, we enlarge the two spectral problems and then obtain nonisospectral Z2𝜀 integrable couplings of AKNS type and KN type by solving the expanded nonisospectral zero

Nonhomogeneous exoplanets in metricaffine gravity Int. J. Geom. Methods Mod. Phys. (IF 1.873) Pub Date : 20220706
Aleksander Kozak, Aneta WojnarThe improved description of the planets’ interior is provided. We examine the modified gravity effects on the Earthlike planets composed of the iron core and silicate mantle. We confirm that the mass–radius relations as well as density profiles differ with respect to the commonly adopted Newtonian models.

Constant Gaussian curvature, FLRW conditions and a universe without matter Int. J. Geom. Methods Mod. Phys. (IF 1.873) Pub Date : 20220706
WladimirGeorges BoskoffThe problem of FLRW universes can be seen in the excellent works of A. Friedmann, G. Lemaître, H. P. Robertson, A. G. Walker. The key of obtaining FLRW universes with or without cosmological constant is related to the special form of the contravariant energy–momentum tensor which describes a perfect fluid with components Tij=(ρ0+p0)uiuj−p0gij because such a “matter” leads to FLRW conditions R11=R22=R33

The sky invariant: A new conformal invariant for Schwarzschild spacetime Int. J. Geom. Methods Mod. Phys. (IF 1.873) Pub Date : 20220630
A. Bautista, A. Ibort, J. LafuenteA new class of conformal invariants for a given spacetime M is introduced exploiting the conformal geometry of any light ray Γ. Each congruence of light rays passing through a given point p defines the sky S(p) of such point. The new conformal invariants are defined on the bundle of skies of the spacetime M, being called sky invariants accordingly. The natural conformal covariant derivative defined

Gradient solitons on twisted product manifolds and their applications in general relativity Int. J. Geom. Methods Mod. Phys. (IF 1.873) Pub Date : 20220630
Si̇nem Güler, Hakan Mete TaştanIn this paper, first, we find the necessary and sufficient condition for a Riemannian manifold to be the locally warped product. Then we investigate the existence of different types of gradient solitons, such as gradient (almost) Yamabe soliton, conformal soliton and gradient Ricci soliton on the twisted product manifolds. We also study the concircular flatness condition on a twisted product and examine

Spherically symmetric collapsing star with the background of dark energy Int. J. Geom. Methods Mod. Phys. (IF 1.873) Pub Date : 20220628
Grishma Verma, Rajesh Kumar, K. R. MishraIn this work, we studied the gravitational collapse of a spherically symmetric radiating star consisting of perfect fluid (baryonic) in the background of dark energy (DE) with an equation of state pDE=ωρDE. The effect of DE on the singularity formation has been discussed in two separate cases: first when only DE is present, and the other, with a combination of both baryonic and DE interaction. We have

Chiral solitons of (2+1)dimensional stochastic chiral nonlinear Schrödinger equation Int. J. Geom. Methods Mod. Phys. (IF 1.873) Pub Date : 20220628
Saima Arshed, Nauman Raza, Ahmad Javid, Haci Mehmet BaskonusThis paper studies (2+1)dimensional stochastic chiral nonlinear Schrödinger equation dynamically. A number of novel solutions such as periodic, singular, dark and bright solitons solutions are retrieved. The extraction of these solutions is helped by three efficient and robust integration tools such as the Kudryashov’s R function method, Jacobi elliptic function method (JEFM) and the modified auxiliary

The nonlinear vibration and dispersive wave systems with crosskink and solitary wave solutions Int. J. Geom. Methods Mod. Phys. (IF 1.873) Pub Date : 20220628
Ruijuan Li, Jalil Manafian, Holya A. Lafta, Hawraa A. Kareem, Khusniddin Fakhriddinovich Uktamov, Mostafa AbotalebThis paper investigates the crosskink and solitary wave solutions to the nonlinear vibration and dispersive wave systems. The solutions include periodic, crosskink and solitary wave solutions. The bilinear form is considered in terms of Hirota derivatives. Accordingly, we utilize the Cole–Hopf algorithm to get the exact solutions of the (2+1)dimensional modified dispersive waterwave system. The

Observables from spherically symmetric modified dispersion relations Int. J. Geom. Methods Mod. Phys. (IF 1.873) Pub Date : 20220628
Dagmar Läänemets, Manuel Hohmann, Christian PfeiferIn this work, we continue the systematic study of observable effects emerging from modified dispersion relations. We study the motion of test particles subject to a general firstorder modification of the general relativistic dispersion relation as well as subject to the κPoincaré dispersion relation in spherical symmetry. We derive the corrections to the photon sphere, the black hole shadow, the

Gravitational radiation in higher order nonlocal gravity Int. J. Geom. Methods Mod. Phys. (IF 1.873) Pub Date : 20220628
Maurizio CaprioloIn this paper, we examine gravitational radiation in higher order nonlocal gravity described by the nonlocal gravitational Lagrangian density ℒg=R+∑h=1nahR□−hR. This nonlocal theory of gravitation always exhibits the tensor transverse gravitational radiation for k12=0, corresponding to the angular frequency ω1, composed of two standard (+) and (×) polarization modes, massless and of helicity 2.

Exact solution of generalized KGoscillator under Lorentzviolating effects by a fixed vector field subject to interaction potential Int. J. Geom. Methods Mod. Phys. (IF 1.873) Pub Date : 20220628
Faizuddin AhmedIn this work, the relativistic quantum oscillator under the Lorentz symmetry violation environment defined by an arbitrary constant vector field vμ is analyzed. We solve the generalized Klein–Gordon oscillator with different vector field configurations and obtained the boundstates solutions. After that, we insert a static Coulombtype scalar potential in the wave equation and solve the generalized

Remarks on the grouptheoretical foundations of particle physics Int. J. Geom. Methods Mod. Phys. (IF 1.873) Pub Date : 20220628
Robert Arnott WilsonI propose using the group SL(4, ℝ) as a generalization of the Dirac group SL(2, ℂ) used in quantum mechanics, in an attempt to match the symmetries of the ‘internal’ spacetime of elementary particles to the symmetries of the ‘external’ spacetime of general relativity. While my conclusions do not amount to a new model or theory, they do highlight some specific points where there are apparent conflicts

Propagation of shock wave in a nonideal dusty gas in rotating medium using Lie group theoretic method: Isothermal flow Int. J. Geom. Methods Mod. Phys. (IF 1.873) Pub Date : 20220628
G. Nath, Arti DeviThis paper concerns with the similarity solutions using Lie group theoretic method for onedimensional unsteady isothermal flow behind the shock wave in the mixture of nonideal gas and small solid particles in rotating medium. Group theoretic technique brings the different possible cases of potential solutions with the power law, particular case of power law and exponential law shock paths with the

Effect of nonlocal transformations on the linearizability and exact solvability of the nonlinear generalized modified Emdentype equations Int. J. Geom. Methods Mod. Phys. (IF 1.873) Pub Date : 20220625
Omar MustafaThe nonlinear generalized modified Emdentype equations (GMEE) are known to be linearizable into simple harmonic oscillator (HO) or damped harmonic oscillators (DHO) via some nonlocal transformations. Hereby, we show that the structure of the nonlocal transformation and the linearizability into HO or DHO determines the nature/structure of the dynamical forces involved (hence, determine the structure

Two incompatible types of invariants in the octonion spaces Int. J. Geom. Methods Mod. Phys. (IF 1.873) Pub Date : 20220623
ZiHua WengThis paper aims to study some invariants and conservation laws relevant to electromagnetic and gravitational fields by means of the rotational transformations of octonion coordinate systems. The scholars utilize the octonions to analyze the electromagnetic and gravitational fields simultaneously, including the octonion field potential, field strength, field source, linear momentum, angular momentum

A study of almost pseudo 𝒵 symmetric spacetimes with application to f(R) gravity Int. J. Geom. Methods Mod. Phys. (IF 1.873) Pub Date : 20220623
Sameh Shenawy, Uday Chand De, Nasser Bin Turki, Abdallah Abdelhameed SyiedWe prove that an almost pseudo 𝒵 symmetric spacetime with Codazzi type of 𝒵 tensor is perfect fluid whose velocity vector field Bi is parallel. The energy density σ of such perfect fluid spacetime is constant and the state equation is obtained. Also, this spacetime is shown to be a static spacetime. Next, it is shown that such spacetime is a GRW spacetime with Einstein fiber. This kind of spacetime

Note on the LeviCivita metric Int. J. Geom. Methods Mod. Phys. (IF 1.873) Pub Date : 20220623
M. Halilsoy, S. Habib MazharimousaviBy introducing a new coordinate condition we divide the cylindrical spacetime of LeviCivita (LC) into a sourceful inner (ρ ≤ ρ0 = const.) and vacuum outer (ρ ≥ ρ0) regions. The emergent fluid with zero radial pressure confined to the finelytuned inner region serves to make the spacetime regular in a natural way. At ρ = 0 the LC spacetime becomes ‘Cartesian flat’ so that no deficit angle arises.

Notes on derived geometric formulations in physics Int. J. Geom. Methods Mod. Phys. (IF 1.873) Pub Date : 20220621
Kadri İlker BerktavThis is an overview on certain higher structural constructions in physics. Main motivations of our current attempt are as follows: (i) to provide a brief introduction to the basics of derived algebraic geometry, (ii) to understand how certain derived objects naturally appear in physics and give rise to a formal mathematical treatment, and (iii) to investigate how the notion of a factorization algebra

Anisotropic decoupled spheres in f(G,T) gravity Int. J. Geom. Methods Mod. Phys. (IF 1.873) Pub Date : 20220621
M. Sharif, K. HassanThis paper aims to determine the anisotropic solutions for static spherically symmetric spacetime via gravitational decoupling technique in the context of f(G,T) gravity, where G indicates the Gauss–Bonnet term and T represents trace of the energymomentum tensor. The additional source, present alongside the isotropic seed source in the sphere, induces anisotropy in the system. In order to decouple