Entropy of black holes in the deformed Ho\v{r}ava-Lifshitz gravity

TL;DR

This paper calculates the entropy of Kehagias-Sfetsos black holes in deformed Hořava-Lifshitz gravity using thermodynamics and explores a duality with GUP-inspired Schwarzschild black hole entropy.

Contribution

It introduces a method to derive black hole entropy in Hořava-Lifshitz gravity and reveals a duality with GUP-inspired black hole entropy expressions.

Findings

Entropy of Kehagias-Sfetsos black hole derived using the first law.

Duality between Kehagias-Sfetsos and GUP-inspired Schwarzschild black hole entropy.

GUP modifies the classical black hole entropy formula.

Abstract

We find the entropy of Kehagias-Sfetsos black hole in the deformed Ho\v{r}ava-Lifshitz gravity by using the first law of thermodynamics. When applying generalized uncertainty principle (GUP) to Schwarzschild black hole, the entropy $S=A/4+(\pi/\omega)\ln(A/4)$ may be interpreted as the GUP-inspired black hole entropy. Hence, it implies that the duality in the entropy between the Kehagias-Sfetsos black hole and GUP-inspired Schwarzschild black hole is present.