Black hole solutions in Horava-Lifshitz Gravity with cubic terms

TL;DR

This paper introduces new analytic black hole solutions in a modified gravity theory with cubic curvature terms, revealing their asymptotic behavior and short-range effects, advancing understanding of black holes in Horava-Lifshitz gravity.

Contribution

It presents two novel analytic black hole solutions in non-projectable Horava-Lifshitz gravity with cubic curvature terms, expanding the solution space of the theory.

Findings

Solutions exhibit Schwarzschild asymptotics at large distances

Cubic terms influence short-range black hole behavior

New analytic solutions are obtained for specific parameter choices

Abstract

We study four dimensional non-projectable Horava-Lifshitz type gravity, in the case of an action with terms, cubic in curvature. For special choices of the free parameters of the model, we obtain two new analytic black hole solutions which exhibit the standard Schwarzschild asymptotic behavior in the large distance limit. The effect of cubic terms in the short range behavior of the black hole solutions is discussed.