Extremal rotating solutions in Horava Gravity

TL;DR

This paper explores extremal rotating solutions within Horava gravity, revealing new near horizon geometries and rotating solutions as perturbations, expanding understanding of non-relativistic gravity models.

Contribution

It introduces specific rotating solutions in Horava gravity with higher derivative terms, extending the class of known solutions in this non-relativistic gravity theory.

Findings

Found near horizon geometries in Horava gravity.

Derived rotating solutions as perturbations.

Included up to six derivative terms in equations of motion.

Abstract

Recently a new four-dimensional non relativistic renormalizable theory of gravity was proposed by Horava. In this paper we have found different near horizon geometries in Horava gravity. We find the rotating solutions in a special range of parameters of the theory. This range allows us to include up to six derivative terms in the equations of motion. We have found our solutions as perturbed solutions over spherical symmetric background with small rotating parameter.