First and Second Laws of Thermodynamics in Modified Hořava-Lifshitz $F(R)$ Gravity

Abstract

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

20 pages. arXiv admin note: text overlap with arXiv:1109.1694 by other authors