The non-Kerr black hole with acceleration

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.