Kerr-Bertotti-Robinson Black Holes Surrounded by a Cloud of Strings

TL;DR

This paper introduces a new Kerr-like black hole solution in Einstein's gravity, incorporating a cloud of strings and a uniform magnetic field, extending previous models of black holes in external fields.

Contribution

It presents a novel exact solution describing Kerr-like black holes with a surrounding cloud of strings and magnetic field, generalizing existing black hole models.

Findings

Reduces to Schwarzschild-Bertotti-Robinson black hole with zero rotation.

Simplifies to Kerr-like black hole with a cloud of strings when magnetic field is absent.

Static case corresponds to Schwarzschild black hole with a cloud of strings.

Abstract

In a recent study [1], authors introduced a new class of exact space-times in Einstein's gravity, which are Kerr black holes immersed in an external uniform magnetic field that is oriented along the rotational axis. Motivated by this work, we investigate a Kerr-like black hole solution with a cloud of strings surrounded by a uniform magnetic field. For the zero rotation case, the space-time reduces to the Schwarzschild-Bertotti-Robinson black hole with a cloud of strings. Moreover, for zero magnetic field, the metrics simplify to a Kerr-like black hole surrounded by a cloud of strings, and its static counterpart reduces to the Schwarzschild black hole with a cloud of strings.