Axially symmetric rotating black hole with regular horizons
Abstract
We consider the metric of an axially symmetric rotating black hole. We do not specify the concrete form of a metric and rely on its behavior near the horizon only. Typically, it is characterized (in the coordinates that generalize the Boyer-Lindquist ones) by two integers and that enter asymptotic expansions of the time and radial metric coefficients in the main approximation. For given we find a general form for which the metric is regular, and how the expansions of the metric coefficients look like. We compare two types of requirement: (i) boundedness of curvature invariants, (ii) boundedness of separate components of the curvature tensor in a free falling frame. Analysis is done for nonextremal, extremal and ultraextremal horizons separately.
Cite
@article{arxiv.2211.08061,
title = {Axially symmetric rotating black hole with regular horizons},
author = {H. V. Ovcharenko and O. B. Zaslavskii},
journal= {arXiv preprint arXiv:2211.08061},
year = {2023}
}