Hawking Radiation of Black Holes in Infrared Modified Ho\v{r}ava-Lifshitz Gravity

TL;DR

This paper investigates Hawking radiation from black holes in infrared modified Horava-Lifshitz gravity, using anomaly cancellation and effective action methods, and extends these techniques to asymptotically AdS black holes.

Contribution

It applies covariant anomaly cancellation methods to derive Hawking radiation in a modified gravity context and extends these methods to AdS black holes.

Findings

Hawking temperature matches Schwarzschild predictions at large distances

Methods successfully derive Hawking radiation in modified gravity

Extension to AdS black holes broadens applicability of anomaly techniques

Abstract

We study the Hawking radiation of the spherically symmetric, asymptotically flat black holes in the infrared modified Horava-Lifshitz gravity by applying the methods of covariant anomaly cancellation and effective action, as well as the approach of Damour-Ruffini-Sannan's. These black holes behave as the usual Schwarzschild ones of the general relativity when the radial distance is very large. We also extend the method of covariant anomaly cancellation to derive the Hawking temperature of the spherically symmetric, asymptotically AdS black holes that represent the analogues of the Schwarzschild AdS ones.