Entropy for Black Holes in the Deformed Horava-Lifshitz Gravity

TL;DR

This paper investigates the entropy and thermodynamic stability of black holes in deformed Horava-Lifshitz gravity, highlighting differences from classical black holes and analyzing their heat capacity.

Contribution

It introduces the entropy characteristics of black holes in deformed Horava-Lifshitz gravity and compares them to known solutions like Reissner-Norstrom and Schwarzschild black holes.

Findings

Entropy differs from Schwarzschild black holes

Black holes resemble Reissner-Norstrom black holes at lambda=1

Thermodynamical stability analyzed through heat capacity

Abstract

We study the entropy of black holes in the deformed Horava-Lifshitz gravity with coupling constant lambda. For lambda=1, the black hole resembles the Reissner-Norstrom black hole with a geometric parameter acting like the electric charge. Therefore, we obtain some differences in the entropy when comparing with the Schwarzschild black hole. Finally, we study the heat capacity and the thermodynamical stability of this solution.