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arXiv · 1406.6305

The generalized second law of thermodynamics for interacting $f(R)$ gravity

Ramon Herrera·Nelson Videla
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Abstract

We examine the validity of the generalized second law (GSL) of gravitational thermodynamics in the context of interacting $f(R)$ gravity. We take into account that the boundary of the universe to be confined by the dynamical apparent horizon in a flat FRW universe. We study the effective equation of state, deceleration parameter and GSL in this interaction-framework. We find that the evolution of the total entropy increases through the interaction term. As a example, we consider a $f(R)$ gravity with a power-law dependence on the curvature $R$. Here, we find exact solutions for a model in which the interaction term is related to the total energy density of matter.

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Ramon Herrera, Nelson Videla. 2014-06-24. The generalized second law of thermodynamics for interacting $f(R)$ gravity. https://doi.org/10.1142/s0218271814500710

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