Note on the character of the generic rotating charged regular black holes in general relativity coupled to nonlinear electrodynamics

TL;DR

This paper shows that rotating charged regular black hole solutions in general relativity with nonlinear electrodynamics are highly consistent and suitable for astrophysical modeling, with minimal theoretical discrepancies.

Contribution

It demonstrates that solutions obtained via the Newman-Janis algorithm are accurate enough for astrophysical applications, with only minor inconsistencies in the electrodynamics Lagrangian.

Findings

Inconsistencies in the electrodynamics Lagrangian are around 1%.

The solutions are suitable as approximate models for rotating regular black holes.

The approach simplifies modeling of astrophysical black holes with minimal loss of accuracy.

Abstract

We demonstrate that the generic charged rotating regular black hole solutions of general relativity coupled to non-linear electrodynamics, obtained by using the alternate Newman-Janis algorithm, introduces only small (on level $10^{-2}$) inconsistency in the behaviour of the electrodynamics Lagrangian. This approves application of these analytic and simple solutions as astrophysically relevant, sufficiently precise approximate solutions describing rotating regular black holes.