The non-Kerr black hole with acceleration

TL;DR

This paper introduces a new class of accelerating non-Kerr black hole metrics, including charged variants, and explores their fundamental properties and thermodynamics to facilitate tests of the no-hair theorem in strong gravity regimes.

Contribution

It proposes a novel accelerating non-Kerr black hole metric and analyzes its basic properties and thermodynamics, expanding the framework for strong gravity tests.

Findings

New accelerating non-Kerr black hole solutions introduced.

Analysis of thermodynamic properties of these black holes.

Potential applications for testing the no-hair theorem.

Abstract

The no-hair theorem can be tested in the strong gravity regime by using the top-bottom approach and the bottom-top approach. The non-Kerr spacetime of the later approach is an ideal framework to do the tests in the region very close to the black holes. In this work, we propose a non-Kerr black hole metric (and its charged extension) that is accelerating as well. These new objects are studied for their basic properties and thermodynamics.