Rotating black holes in general relativity coupled to nonlinear electrodynamics

Abstract

We find an exact spherically symmetric magnetically charged black hole solution to general relativity (GR) coupled to nonlinear electrodynamics (NED) with an appropriate Lagrangian density. In turn, starting with this spherical black hole as a seed metric, we construct a rotating spacetime, a modification of Kerr black hole, using the revised Newman-Janis algorithm that depends on mass, spin, and a NED parameter $g$. We find an exact expression for thermodynamic quantities of the black holes like the mass, Hawking temperature, entropy, heat capacity, and free energy expressed in terms of horizon radius, and they show significant deviations from the Kerr case owing to NED. We also calculate analytical expressions for effective Komar mass and angular momentum for the rotating black hole and demonstrate that the Komar conserved quantity corresponding to the null Killing vector at horizon obeys ${\mathcal{K}}_{\chi }=2S_{+}{T}_{+}.$ The radiating counterpart renders a generalization of Carmeli's spacetime as well as Vaidya's spacetime in the appropriate limits.

10 pages and 7 figures. Accepted for publication in Annals of Physics. arXiv admin note: substantial text overlap with arXiv:2109.08055

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• Estimating the cosmological constant from shadows of Kerr--de Sitter black holes
• Testing EGB gravity coupled to bumblebee field and black hole parameter estimation with EHT observations
• Thermodynamics and Shadows of quantum-corrected Reissner-Nordström black hole surrounded by quintessence
• Importance of being nonminimally coupled: Scalar Hawking radiation from regular black holes
• Shadows and parameter estimation of rotating quantum corrected black holes and constraints from EHT observation of M87* and Sgr A*
• Testing black holes in a perfect fluid dark matter environment using quasinormal modes
• Testing black hole metrics with binary black hole inspirals
• Thermodynamics and phase transitions of charged-AdS black holes in dRGT massive gravity with nonlinear electrodynamics
• Dynamics of Geodesics in Non-linear Electrodynamics Corrected Black Hole and Shadows of its Rotating Analogue
• Superradiant scattering of massive scalar field due to magnetically charged rotating black hole