Anisotropic matter and nonlinear electromagnetics black holes

TL;DR

This paper establishes a correspondence between anisotropic matter black holes and nonlinear electrodynamics black holes, deriving various types including dark matter and scalar hair black holes, and explores rotating solutions and extremal boundaries.

Contribution

It introduces a novel mapping between anisotropic matter black holes and NED black holes, encompassing multiple known black hole types and extending to rotating and extremal cases.

Findings

Anisotropic matter black holes correspond to NED black holes with specific parameters.

Derived rotating NED black holes from anisotropic matter solutions.

Identified extremal rotating NED black holes as boundaries between different black hole states.

Abstract

It is shown that anisotropic matter black holes with two parameters $w$ and $K$ correspond to nonlinear electrodynamics (NED) black holes with power-index $s$ and charge term $\xi(s,q)$ by introducing a NED term. These NED black holes include dark matter ($s=3/4$), constant scalar hair ($s=1$), charged quantum Oppenheimer-Snyder ($s=3/2$), and Einstein-Euler-Heisenberg ($s=2$) black holes derived from their known actions. Rotating NED black holes can be obtained from rotating anisotropic matter black holes when replacing $w$ and $K$ by $2s-1$ and $\xi(s,q)$. The extremal rotating NED black holes being the boundary between rotating charged NED black hole and naked singularity are derived as functions of the rotation parameter $a(q)$.