Static and spherically symmetric black holes in gravity with a background Kalb-Ramond field

TL;DR

This paper derives exact static, spherically symmetric black hole solutions in a Lorentz-violating gravity theory with a background Kalb-Ramond field, analyzing their thermodynamics and experimental constraints.

Contribution

It provides the first exact black hole solutions in gravity with a background Kalb-Ramond field and explores their physical and experimental implications.

Findings

Black hole solutions exhibit Lorentz violation effects.

Thermodynamic properties are modified by Lorentz-violating parameters.

Experimental data constrains the Lorentz-violating parameter.

Abstract

The Lorentz symmetry of gravity is spontaneously broken when the nonminimally coupled Kalb-Ramond field acquires a nonzero vacuum expectation value. In this work, we present exact solutions for static and spherically symmetric black holes in the framework of this Lorentz-violating gravity theory. In order to explore the physical implications of Lorentz violation, we analyze the thermodynamic properties of the obtained solutions and evaluate the impact of Lorentz violation on some classical gravitational experiments within the Solar System. Furthermore, the Lorentz-violating parameter is constrained by using the measured results of these experiments.