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 (s, q) ξ (s, q) by introducing a NED term. These NED black holes include dark matter (s=3/4 s = 3 / 4), constant scalar hair (s=1 s = 1), charged quantum Oppenheimer–Snyder (s=3/2 s = 3 / 2), and Einstein–Euler–Heisenberg (s=2 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 2 s - 1 and (s, q) ξ (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).
Lee et al. (2026) studied this question.