First and Second Laws of Thermodynamics in Modified Ho\v{r}ava-Lifshitz $F(R)$ Gravity

TL;DR

This paper explores the thermodynamics of apparent horizons in $F(R)$ Hořava-Lifshitz gravity, demonstrating that the second law of thermodynamics holds in both equilibrium and non-equilibrium scenarios within this modified gravity framework.

Contribution

It analyzes the validity of thermodynamic laws in $F(R)$ Hořava-Lifshitz gravity, extending understanding of thermodynamics in non-relativistic modified gravity theories.

Findings

Second law of thermodynamics is satisfied in this theory.

Thermodynamics analyzed in both equilibrium and non-equilibrium ensembles.

Provides insights into thermodynamic behavior of modified gravity models.

Abstract

In this paper we discuss the thermodynamics of the apparent horizon in $F(R)$ Ho\v{r}ava-Lifshitz gravity in equilibrium and non-equilibrium ensembles. We show that the second law of thermodynamics can be satisfied in this non relativistic theory.