Charged Rotating Black Hole with an Anisotropic Matter Field: Solution of the Maxwell Field

TL;DR

This paper presents a solution for a charged rotating black hole with anisotropic matter, demonstrating that its electromagnetic field resembles that of Kerr-Newman black holes due to the metric's specific form, and discusses energy extraction methods.

Contribution

It provides a new exact solution for a charged rotating black hole with anisotropic matter, extending Kerr-Newman solutions to more complex matter configurations.

Findings

Electromagnetic field matches Kerr-Newman form

Metric function's specific form enables this similarity

Discusses potential energy extraction mechanisms

Abstract

We study a rotating black hole with anisotropic matter and electromagnetic fields. We show that the electromagnetic field has the same form as the corresponding one in the Kerr-Newman geometry. The reason is thanks to the specific form of the metric function. We also mention energy extraction mechanisms from the black hole.