Showing papers in "International Journal of Geometric Methods in Modern Physics in 2020"
TL;DR: In this paper, the contact Hamiltonian and Lagrangian formulations of dissipative mechanical systems were studied and a new form of the contact dynamical equations was proposed, and the Lagrangians were analyzed.
Abstract: We provide new insights into the contact Hamiltonian and Lagrangian formulations of dissipative mechanical systems. In particular, we state a new form of the contact dynamical equations, and we rev...
54 citations
TL;DR: In this article, a time fractional generalized nonlinear diffusion equation which can be better to express diffusion phenomena than diffusion equation of integer order is presented. But it is not suitable for nonlinear dynamics.
Abstract: Under study in this paper is a time fractional generalized nonlinear diffusion equation which can be better to express diffusion phenomena than diffusion equation of integer order. Firstly, we appl...
36 citations
TL;DR: In this paper, the thermodynamic properties and phase transitions of the charged accelerating anti-de Sitter (AdS) black holes are investigated in the framework of the f(R) gravity.
Abstract: In this paper, the thermodynamical properties and the phase transitions of the charged accelerating anti-de Sitter (AdS) black holes are investigated in the framework of the f(R) gravity By studyi
27 citations
TL;DR: In this paper, the approximate analytical solutions of nonrelativistic Hydrogen-like atoms such as (He+,Li2+ and Be+) and neutral atoms (22Na,12C and 158Au) were obtained.
Abstract: We have obtained the approximate analytical solutions of the nonrelativistic Hydrogen-like atoms such as (He+,Li2+ and Be+) and neutral atoms such as (22Na,12C and 158Au) atoms with a newly propose...
26 citations
TL;DR: The groupoid description of Schwinger's picture of quantum mechanics is continued by discussing the closely related notions of composition of systems, subsystems, and their independence as mentioned in this paper, which is the basis for our work.
Abstract: The groupoid description of Schwinger’s picture of quantum mechanics is continued by discussing the closely related notions of composition of systems, subsystems, and their independence. Physical s...
23 citations
TL;DR: In this paper, the authors examined the behavior of Bianchi-I (axially symmetric) matter-dominated and the anisotropic universe with the proposed dark energy, Tsallis holographic dark energy (THDE).
Abstract: In this work, we have examined the behavior of Bianchi-I (axially symmetric) matter-dominated and the anisotropic Universe with the proposed dark energy, Tsallis holographic dark energy (THDE), wit...
23 citations
TL;DR: In this paper, the main features of what can be called Schwinger's foundational approach to Quantum Mechanics are presented, and the basic ingredients of this formulation are the selective measuremen.
Abstract: In this paper, we will present the main features of what can be called Schwinger’s foundational approach to Quantum Mechanics. The basic ingredients of this formulation are the selective measuremen...
22 citations
TL;DR: In this article, the authors review some motivations to consider a theory of gravity based on independent metric and connection, and its status as a quantum theory, and propose a quantum connection theory for gravity.
Abstract: I review here some motivations to consider a theory of gravity based on independent metric and connection, and its status as a quantum theory.
19 citations
TL;DR: In this paper, it was shown that the metric of a (κ,μ)-almost co-Kahler manifold M2n+1 is a gradieness of a quasi-Yamabe solitons.
Abstract: We characterize almost co-Kahler manifolds with gradient Yamabe, gradient Einstein and quasi-Yamabe solitons. It is proved that if the metric of a (κ,μ)-almost co-Kahler manifold M2n+1 is a gradien...
19 citations
TL;DR: In this paper, the Lie symmetry algebra admitted by the time fractional Black-Scholes equation is obtained by using the Lie group method, and constructed symmetry generators are investigated to con...
Abstract: In this paper, the Lie symmetry algebra admitted by the time fractional Black–Scholes equation is obtained by using the Lie group method. The constructed symmetry generators are investigated to con...
17 citations
TL;DR: Klein-Gordon oscillator in the background space-time generated by a rotating cosmic string subject to a Cornell-type scalar and Coulomb-type vector potentials including an internal magnetic flux is described in this article.
Abstract: Klein–Gordon oscillator in the background space-time generated by a rotating cosmic string subject to a Cornell-type scalar and Coulomb-type vector potentials including an internal magnetic flux is
TL;DR: In this paper, the authors investigated the effects of shear viscosity on a dissipative spherical collapse in the presence of heat dissipation and anisotropic pressure in the background of f(R,T,Q) gravity.
Abstract: In this paper, we investigate the effects of shear viscosity on a dissipative spherical collapse in the presence of heat dissipation and anisotropic pressure. In the background of f(R,T,Q) gravity,...
TL;DR: In this article, the equation for fluid flow in porous media is analyzed with the aid of Lie symmetry method (LSM) and invariant subspace method (ISM) with the help of finite generators.
Abstract: The equation for fluid flow in porous media is analyzed in this paper with the aid of Lie symmetry method (LSM) and invariant subspace method (ISM). Infinitesimal generators, the entire geometric f...
TL;DR: In this article, the authors investigated the Noether symmetry approach in modified f(ℛ,φ,χ) theory of gravity, where ℛ is the Ricci scalar, φ is a scalar field and χ is the kinetic energy term.
Abstract: This paper investigates the Noether symmetry approach in modified f(ℛ,φ,χ) theory of gravity, where ℛ is the Ricci scalar, φ is a scalar field and χ is the kinetic energy term. For this purpose, we...
TL;DR: In this paper, all equivalence classes for electromagnetic potentials and space-time metrics of Stackel spaces were shown to hold for the classical charged test particles, provided that the equations of motion of the classical test particles are integr...
Abstract: We can find all equivalence classes for electromagnetic potentials and space-time metrics of Stackel spaces, provided that the equations of motion of the classical charged test particles are integr...
TL;DR: In this article, the interacting Tsallis holographic dark energy (THDE) model in a non-flat universe following an infrared cutoff as the apparent horizon was explored, and the equation of state (EoS) and the dec...
Abstract: This paper explores the interacting Tsallis holographic dark energy (THDE) model in a non-flat universe following an infrared cutoff as the apparent horizon. The equation of state (EoS) and the dec...
TL;DR: In this paper, the dynamical systems analysis of Friedmann-Robertson-Walker (FRW) model of the universe in the framework of general relativity with quadratic equation of state and bulk visco...
Abstract: This paper deals with the dynamical systems analysis of Friedmann–Robertson–Walker (FRW) model of the Universe in the framework of general relativity with quadratic equation of state and bulk visco...
TL;DR: In this paper, Bianchi type I space-times in the f(R) theory of gravity are classified via conformal vector fields using algebraic and direct integration techniques using direct integration.
Abstract: In this paper, Bianchi type I space-times in the f(R) theory of gravity are classified via conformal vector fields using algebraic and direct integration techniques In this classification, we show
TL;DR: In this article, the Jacobi analysis of the chaotic system with only Lyapunov stable equilibria from the perspective of differential geometry has been presented, and the results of this analysis have been used for the analysis of chaotic systems with Gaussian dynamics.
Abstract: Little seems to be known about the study of the chaotic system with only Lyapunov stable equilibria from the perspective of differential geometry. Therefore, this paper presents Jacobi analysis of ...
TL;DR: In this article, Tsallis holographic dark energy (THDE) with IR cutoff as the Hubble horizon was proposed, which is a new form of dark energy with the same IR cutoff.
Abstract: In this paper, a new form of dark energy, known as Tsallis holographic dark energy (THDE), with IR cutoff as Hubble horizon proposed by Tavayef et al. Tsallis holographic dark energy, Phys. Lett. B...
TL;DR: In this article, the generalized holographic cutoffs introduced by Nojiri and Odintsov were used for bounce cosmological models in the presence of a viscous fluid.
Abstract: We investigate bounce cosmological models in the presence of a viscous fluid, making use of generalized holographic cutoffs introduced by Nojiri and Odintsov [Covariant generalized holographic dark...
TL;DR: In this article, it was shown that the new tetrads introduced previously in the four-dimensional Lorentzian spacetimes where gravitational and non-null electromagne...
Abstract: In this short note, we will prove in a few steps that the new tetrads introduced previously in Einstein–Maxwell four-dimensional Lorentzian spacetimes, where gravitational and non-null electromagne...
TL;DR: In this paper, the authors study κ-Minkowski space as a quantum space described by noncommuting self-adjoint operators, following and enlarging T. Poulain and J.-C. Wallet.
Abstract: Using the methods of ordinary quantum mechanics, we study κ-Minkowski space as a quantum space described by noncommuting self-adjoint operators, following and enlarging T. Poulain and J.-C. Wallet,...
TL;DR: In this paper, the authors describe the formalism of quantum field theory by explicitly considering the holomorphic representation for a scalar field within the deformation quantization program, which may be seen as an analogue of the Husimi distribution associated with a normal ordered operator.
Abstract: Motivated by some well-known results in the phase space description of quantum optics and quantum information theory, we aim to describe the formalism of quantum field theory by explicitly considering the holomorphic representation for a scalar field within the deformation quantization program. Notably, the symbol of a symmetric ordered operator in terms of holomorphic variables may be straightforwardly obtained by the quantum field analogue of the Husimi distribution associated with a normal ordered operator. This relation also allows to establish a c-equivalence between the Moyal and the normal star-products. In addition, by writing the density operator in terms of coherent states we are able to directly introduce a series representation of the Wigner functional distribution, which may be convenient in order to calculate probability distributions of quantum field observables without performing formal phase space integrals at all.
TL;DR: In this paper, the LRS Bianchi type-I cosmological model with perfect fluid source in f(R,T) gravity theory, where R is the Ricci scalar and T is the trace of the stress energy-momentum tensor, has been studied in order to investigate early time deceleration and late time acceleration of the universe.
Abstract: In this work, LRS Bianchi type-I cosmological model with perfect fluid source in f(R,T) gravity theory, where R is the Ricci scalar and T is the trace of the stress energy-momentum tensor, has been studied in order to investigate early time deceleration and late time acceleration of the universe. By proposing a new special form of time-varying deceleration parameter in terms of Hubble parameter, the exact solution of the field equations has been obtained. The physical and geometric quantities of the model have been derived and their evolution has been discussed. Our model has an initial singularity and initially exhibits decelerating expansion and transits to accelerating expansion phase at last eras. The nature of the matter source of the model is consistent with the standard model in frame of the structure formation.
TL;DR: In this paper, the Tsallis holographic dark energy (THDE) model with IR cutoff as Granda-Oliveros horizon describing the universe experiencing an accelerating expansion phase in the frame was explored.
Abstract: In this work, we explore the Tsallis holographic dark energy (THDE) model with IR cutoff as Granda–Oliveros horizon describing the Universe experiencing an accelerating expansion phase in the frame
TL;DR: In this paper, the geometrical aspects of a perfect fluid spacetime in terms of conformal Ricci soliton and conformal η-Ricci solitons with torse-forming vector field were studied.
Abstract: In this paper, we studied the geometrical aspects of a perfect fluid spacetime in terms of conformal Ricci soliton and conformal η-Ricci soliton with torse-forming vector field ξ. Condition for the...
TL;DR: In this paper, the Bianchi type-V cosmological models with quark matter distribution and domain walls with observational constraints in F(R,T) theory of gravity were investigated.
Abstract: In this study, we investigate the Bianchi type-V cosmological models with quark matter (QM) distribution and domain walls with observational constraints in F(R,T) theory of gravity (Harko et al. in...
TL;DR: In this paper, the viability of Bianchi type V universe in f(R,T) theory of gravitation was examined, and the power law for scale factor was considered.
Abstract: In this paper, we examine the viability of Bianchi type V universe in f(R,T) theory of gravitation. To solve the field equations, we have considered the power law for scale factor and constructed a...
TL;DR: In this paper, a new form for the varying deceleration parameter was proposed, which is a generalization of the form of O. Akarsu and T. Dereli.
Abstract: In this paper, we have proposed a new form for the varying deceleration parameter that is a generalization of the form of O. Akarsu and T. Dereli [Cosmological models with linearly varying decelera...