Generalized Second Law of Thermodynamic in Modified Teleparallel Theory

Abstract

This study is conducted to examine the validity of generalized second law of thermodynamics (GSLT) in flat FRW for modified teleparallel gravity involving coupling between a scalar field with the torsion scalar $T$ and the boundary term $B=2{\nabla }_{\mu }{T}^{\mu }$. This theory is very useful since it can reproduce other important well-known scalar field theories in suitable limits. The validity of the first and second law of thermodynamics at the apparent horizon is discussed for any coupling. As examples, we have also explored the validity of those thermodynamics laws in some new cosmological solutions under the theory. Additionally, we have also considered the logarithmic entropy corrected relation and discuss the GSLT at the apparent horizon.

16 pages, 9 figures, Accepted for Publication in European Physical Journal C

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• Teleparallel Gravity: From Theory to Cosmology
• Can Horndeski Theory be recast using Teleparallel Gravity?
• Nonlocal Teleparallel Cosmology
• Exact Spherically Symmetric Solutions in Modified Teleparallel gravity
• Generalised teleparallel quintom dark energy non-minimally coupled with the scalar torsion and a boundary term
• Noether charge and black hole entropy in teleparallel gravity
• Thermodynamics of the viscous $f(T,B)$ gravity in the new agegraphic dark energy model
• Exploring Axial Symmetry in Modified Teleparallel Gravity
• Thermodynamics and stability of $f(T,B)$ gravity with viscous fluid by observational constraints
• Scalar-Tensor Teleparallel Gravity With Boundary Term by Noether Symmetries
• Spontaneous Scalarization of Black Holes in Gauss-Bonnet Teleparallel Gravity
• Generalized Tachyonic Teleparallel cosmology
• String-inspired Teleparallel Cosmology
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• Distinctive Features of Hairy Black Holes in Teleparallel Gauss-Bonnet Gravity
• Quantum cosmology in teleparallel gravity with a boundary term
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