Black Hole Solutions in 5D Horava-Lifshitz Gravity

TL;DR

This paper explores the full spectrum of spherically symmetric solutions in five-dimensional Horava-Lifshitz gravity, revealing various asymptotic behaviors and connections to Gauss-Bonnet black holes, expanding understanding of higher-dimensional quantum gravity models.

Contribution

It provides a comprehensive classification of solutions in 5D Horava-Lifshitz gravity, including novel asymptotic behaviors and links to Gauss-Bonnet black holes, which were not previously detailed.

Findings

Multiple classes of solutions with AdS_5, dS_5, or flat asymptotics

Existence of solutions with unconventional short or large distance behavior

Some solutions coincide with 5D Gauss-Bonnet black holes

Abstract

We study the full spectrum of spherically symmetric solutions in the five dimensional non-projectable Horava-Lifshitz type gravity theories. For appropriate ranges of the coupling parameters, we have found several classes of solutions which are characterized by an AdS_5, dS_5 or flat large distance asymptotic behaviour, plus the standard 1/r^2 tail of the usual five-dimensional Schwarzschild black holes. In addition we have found solutions with an unconventional short or large distance behaviour, and for a special range of the coupling parameters solutions which coincide with black hole solutions of conventional relativistic five-dimensional Gauss-Bonnet gravity.