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

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 $\Lambda$, and three parameters due to the nonlinear electrodynamics: $\beta$ is associated to the potential vectors $A_{\mu }$ and ${}^{\star }{P}_{\mu }$, and two constants, $F_0$ and $G_0$, due to the presence of the invariants $F$ and $G$ in the Lagrangian $L(F(x^{\mu }),G(x^{\mu }))$. This solution is of Petrov type D, characterized by the Weyl tensor eigenvalue ${\Psi }_2$, the traceless Ricci tensor eigenvalue $S=2{\Phi }_{(11)}$, 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.

arXiv admin note: text overlap with arXiv:2112.06302

References in corpus (1)

• Stationary Rotating Black Hole Exact Solution within Einstein--Nonlinear Electrodynamics