Thermodynamics in a Modified Gravity Involving Higher-Order Torsion Derivative Terms

Abstract

The present study is elaborated to investigate the validity of thermodynamical laws in a modified teleparallel gravity based on higher-order derivatives terms of torsion scalar. For this purpose, we consider spatially flat FRW model filled with perfect fluid matter contents. Firstly, we explore the possibility of existence of equilibrium as well as non-equilibrium picture of thermodynamics in this extended version of teleprallel gravity. Here, we present the first law and the generalized second law of thermodynamics (GSLT) using Hubble horizon. It is found that non-equilibrium description of thermodynamics exists in this theory with the presence of an extra term called as entropy production term. We also establish GSLT using the logarithmic corrected entropy. Further, by taking the equilibrium picture, we discuss validity of GSLT at Hubble horizon for two $F$ different models. Using Gibbs law and the assumption that temperature of matter within Hubble horizon is similar to itself, we use different cases for choices scale factors to discuss the GSLT validity graphically in all scenarios. It is found that the GSLT is satisfied for a specified range of free parameters in all cases.

arXiv comment23 pages, 15 figures

References in corpus (62)

• First Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Preliminary Maps and Basic Results
• Cosmological parameters from SDSS and WMAP
• f(R) theories
• Extended Theories of Gravity
• f(R,T) gravity
• Thermodynamics of Spacetime: The Einstein Equation of State
• Discovery of a Supernova Explosion at Half the Age of the Universe and its Cosmological Implications
• Dark energy cosmology: the equivalent description via different theoretical models and cosmography tests
• Modified gravity with negative and positive powers of the curvature: unification of the inflation and of the cosmic acceleration
• Generalized Chaplygin Gas, Accelerated Expansion and Dark Energy-Matter Unification
• Modified Gauss-Bonnet theory as gravitational alternative for dark energy
• Properties of singularities in (phantom) dark energy universe
• Modified teleparallel gravity: inflation without inflaton
• Einstein's Other Gravity and the Acceleration of the Universe
• Constraints on dark energy from Chandra observations of the largest relaxed galaxy clusters
• Dark energy in modified Gauss-Bonnet gravity: late-time acceleration and the hierarchy problem
• The teleparallel equivalent of general relativity
• Unified first law of black-hole dynamics and relativistic thermodynamics
• Classical and Quantum Thermodynamics of horizons in spherically symmetric spacetimes
• Thermodynamic Behavior of Friedmann Equation at Apparent Horizon of FRW Universe
• Finite-time future singularities in modified Gauss-Bonnet and $\mathcal{F}(R,G)$ gravity and singularity avoidance
• Unified First Law and Thermodynamics of Apparent Horizon in FRW Universe
• Reconstruction of f(R, T) gravity describing matter dominated and accelerated phases
• Modified teleparallel theories of gravity
• Tachyons, Scalar Fields and Cosmology
• Thermodynamics in f(R,T) Theory of Gravity
• Dark Energy and Gravity
• f(R, T, R_μνT^μν) gravity phenomenology and ΛCDM universe
• Further matters in space-time geometry: $f(R,T,R_{\mu \nu }{T}^{\mu \nu })$ gravity
• Cosmography in f(T)-gravity
• Thermodynamic Behavior of Field Equations for f(R) Gravity
• Teleparallel equivalent of Gauss-Bonnet gravity and its modifications
• Dynamics of scalar perturbations in f(R,T) gravity
• Torsion Gravity: a Reappraisal
• Thermodynamical Properties of Apparent Horizon in Warped DGP Braneworld
• Inflation and de Sitter Thermodynamics
• Deep Connection Between Thermodynamics and Gravity in Gauss-Bonnet Braneworld
• Nonminimal torsion-matter coupling extension of f(T) gravity
• Static Solutions with Spherical Symmetry in f(T) Theories
• Noether Symmetry Approach in $f(T,B)$ teleparallel cosmology
• Thermodynamics of cosmological horizons in $f(T)$ gravity
• Dynamical behavior in $f(T,T_G)$ cosmology
• Generalized second law of thermodynamics in f(T) gravity
• Possible Formation of Compact Stars in $f(R,T)$ Gravity
• Generalized Vaidya Spacetime in Lovelock Gravity and Thermodynamics on Apparent Horizon
• Cosmological applications of $F(T,T_G)$ gravity
• Energy Conditions in $f(R,T,R_{\mu \nu }{T}^{\mu \nu })$ Gravity
• Intermediate inflation in light of the three-year WMAP observations
• A Type of Levi-Civita's Solution in Modified Gauss-Bonnet Gravity
• Thermodynamics in $f(R)$ gravity in the Palatini formalism
• Modified teleparallel theories of gravity -- Gauss-Bonnet and trace extensions
• Generalized second law of thermodynamics for FRW cosmology with logarithmic correction
• Effects of Electromagnetic Field on the Dynamics of Bianchi type $V{I}_0$ Universe with Anisotropic Dark Energy
• Energy conditions in $f(T)$ gravity with non-minimal torsion-matter coupling
• Energy Constraints and Phenomenon of Cosmic Evolution in $f(T,B)$ Framework
• Generalized Second Law of Thermodynamic in Modified Teleparallel Theory
• Cosmological reconstruction and energy bounds in $f(R,R_{\alpha \beta }{R}^{\alpha \beta },\varphi )$ gravity
• Modified teleparallel gravity with higher-derivative torsion terms
• Generalized Second Law of Thermodynamics in $f(T,T_G)$ gravity
• Cosmological entropy and generalized second law of thermodynamics in $F(R,G)$ theory of gravity
• Energy Constraints and $F(T,T_G)$ Cosmology
• Generalized second law of thermodynamics on the apparent horizon in modified Gauss-Bonnet gravity