A study of generalized second law of thermodynamics in modified f(R) Horava-Lifshitz gravity

TL;DR

This paper examines the validity of the generalized second law of thermodynamics within a modified f(R) Horava-Lifshitz gravity framework, confirming that the total entropy increases over time for various horizons.

Contribution

It investigates thermodynamic laws in a specific modified gravity theory, extending previous work by analyzing entropy behavior across different horizons.

Findings

Total entropy derivative remains positive, validating the generalized second law.

The law holds for apparent, event, and particle horizons.

The equation of state parameter behaves like quintessence (w > -1).

Abstract

This work investigates the validity of the generalized second law of thermodynamics in modified f(R) Horava-Lifshitz gravity proposed by Chaichian et al (2010) [Class. Quantum Grav. 27 (2010) 185021], which is invariant under foliation-preserving diffeomorphisms. It has been observed that the equation of state parameter behaves like quintessence (w > -1). We study the thermodynamics of the apparent, event and particle horizons in this modified gravity. We observe that under this gravity, the time derivative of total entropy stays at positive level and hence the generalized second law is validated.