General static spherically symmetric solutions in Horava gravity

TL;DR

This paper derives a broad class of static, spherically symmetric solutions in Horava gravity, revealing new black hole configurations with radial hair and exploring their properties across different parameter regimes.

Contribution

It introduces a general framework for static spherically symmetric solutions in Horava gravity with nonzero shift, including novel black hole solutions with radial hair.

Findings

Existence of infinite solutions with deformed reparametrization invariance for lambda=1

Special solutions at the anisotropic conformal point lambda=1/3

Black hole solutions with radial 'hair' from the shift field

Abstract

We derive general static spherically symmetric solutions in the Horava theory of gravity with nonzero shift field. These represent "hedgehog" versions of black holes with radial "hair" arising from the shift field. For the case of the standard de Witt kinetic term (lambda =1) there is an infinity of solutions that exhibit a deformed version of reparametrization invariance away from the general relativistic limit. Special solutions also arise in the anisotropic conformal point lambda = 1/3.