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arXiv · 2201.10682

AdS--dS Stationary Rotating Black Hole Exact Solution within Einstein--Nonlinear Electrodynamics

Alberto A. García Díaz
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Abstract

In this report the exact rotating charged black hole solution to the Einstein--nonlinear electrodynamics theory with a cosmological constant is presented. This black hole is equipped with mass, rotation parameter, electric and magnetic charges, cosmological constant $Λ$, and three parameters due to the nonlinear electrodynamics: $β$ is associated to the potential vectors $A_μ$ and ${}^{\star}P_μ$, and two constants, $F_0$ and $G_0$, due to the presence of the invariants $F$ and $G$ in the Lagrangian $L(F(\,x^μ),G(\,x^μ))$. This solution is of Petrov type D, characterized by the Weyl tensor eigenvalue $Ψ_2$, the traceless Ricci tensor eigenvalue $S=2Φ_{(11)}$, and the scalar curvature $R$; it allows for event horizons, exhibits a ring singularity and fulfils the energy conditions. Its Maxwell limit is the de Sitter-Anti--de Sitter--Kerr--Newman black hole solution.

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Alberto A. García Díaz. 2022-01-26. AdS--dS Stationary Rotating Black Hole Exact Solution within Einstein--Nonlinear Electrodynamics. https://doi.org/10.1016/j.aop.2022.168880

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