Abstract
This study is conducted to examine the validity of the 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=2nabla _{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.
Highlights
The rapid growth of observational measurements on expansion history reveals the expanding paradigm of the universe
In this work we focus on the validity of the thermodynamical laws in a modified teleparallel gravity involving a non-minimal coupling between both torsion scalar and the boundary term with a scalar field
In this study we consider the modified teleparallel model which involves a scalar field non-minimally coupled to the torsion T and a boundary term defined in terms of a divergence of the torsion vector, B
Summary
The rapid growth of observational measurements on expansion history reveals the expanding paradigm of the universe. They discussed the validity of the generalized second law of thermodynamic in the cosmological constant regime [21] Another very much studied approach in modified theories of gravity is to change the matter content of the universe by adding a scalar field in the matter sector. Bahamonde and Wright [31] presented a new model of teleparallel gravity by introducing a scalar field non-minimally coupled to both the torsion T and the boundary term B = 2∇μT μ. In this work we focus on the validity of the thermodynamical laws in a modified teleparallel gravity involving a non-minimal coupling between both torsion scalar and the boundary term with a scalar field. The notation used is the same as in [31], where the tetrad and the inverse of the tetrad fields are denoted by a lower letter eμa and a capital letter Eaμ, respectively, with the (+, −, −, −) metric signature
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