Generalized Second Law of Thermodynamics in $f(T,T_G)$ gravity

Abstract

An equilibrium picture of thermodynamics is discussed at the apparent horizon of FRW universe in $f(T,T_G)$ gravity, where $T$ represents the torsion invariant and $T_G$ is the teleparallel equivalent of the Gauss-Bonnet term. It is found that one can translate the Friedmann equations to the standard form of first law of thermodynamics. We discuss GSLT in the locality of assumption that temperature of matter inside the horizon is similar to that of horizon. Finally, we consider particular models in this theory and generate constraints on the coupling parameter for the validity of GSLT in terms of recent cosmic parameters and power law solutions.

19 pages, 5 figures

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Cited by in corpus (13)

• f(T) teleparallel gravity and cosmology
• Teleparallel Gravity: From Theory to Cosmology
• Cosmological viable models in $f(T,B)$ gravity as solutions to the $H_0$ tension
• Noether Symmetries and Quantum Cosmology in Extended Teleparallel Gravity
• Generalized Gravitational Baryogenesis of Well-Known $f(T,T_G)$ and $f(T,B)$ Models
• Generalized Second Law of Thermodynamic in Modified Teleparallel Theory
• Observational Constraints and Cosmographic Analysis of $f(T,T_G)$ Gravity and Cosmology
• Noether Symmetries in $f(T,T_G)$ Cosmology
• Dynamical Complexity in Teleparallel Gauss-Bonnet Gravity
• Thermodynamics in a Modified Gravity Involving Higher-Order Torsion Derivative Terms
• Cosmological Analysis of Reconstructed $\mathcal{F}(T,T_{\mathcal{G}})$ Models
• Constraining $f(T,B,T_G,B_G)$ gravity by dynamical system analysis
• Thermodynamic Behavior of Time-Dependent Wormholes in Palatini $f(R)$ Gravity