First and Second Laws of Thermodynamics in Modified Ho\v{r}ava-Lifshitz   $F(R)$ Gravity
  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. 
Abdul Jawad, Shamaila Rani, Davood Momeni, Faiza Gulshan, Ratbay   Myrzakulov
gr-qc