Black Holes in Ho\v{r}ava Gravity with Higher Derivative Magnetic Terms

TL;DR

This paper explores black hole solutions within Hořava gravity coupled with Maxwell and higher derivative magnetic terms, analyzing horizon properties and temperatures, and constructing solutions in both low-energy and detailed balanced theories.

Contribution

It introduces new static spherically symmetric black hole solutions in Hořava gravity with higher derivative magnetic terms, including both low-energy and detailed balanced formulations.

Findings

Derived horizon locations and temperatures near extremality.

Constructed solutions for asymptotically flat and (A)dS spaces.

Presented non-perturbative solutions in the detailed balanced theory.

Abstract

We consider Horava gravity coupled to Maxwell and higher derivative magnetic terms. We construct static spherically symmetric black hole solutions in the low-energy approximation. We calculate the horizon locations and temperatures in the near-extremal limit, for asymptotically flat and (anti-)de Sitter spaces. We also construct a detailed balanced version of the theory, for which we find projectable and non-projectable, non-perturbative solutions.