Anisotropic matter and nonlinear electromagnetics black holes

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 $a(q)$.

13 pages, 3 figures,references added, typos corrected

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Cited by in corpus (1)

• Phase transition for a black hole with matter fields and the relation with the Lyapunov exponent