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- W4281955462 abstract "We show how (at least, in principle) one can construct electrically and magnetically charged slowly rotating black hole solutions coupled to nonlinear electrodynamics (NLE). Our generalized Lense--Thirring ansatz is, apart from the static metric function $f$ and the electrostatic potential $ensuremath{phi}$ inherited from the corresponding spherical solution, characterized by two new functions $h$ (in the metric) and $ensuremath{omega}$ (in the vector potential) encoding the effect of rotation. In the linear Maxwell case, the rotating solutions are completely characterized by a static solution, featuring $h=(fensuremath{-}1)/{r}^{2}$ and $ensuremath{omega}=1$. We show that when the first is imposed, the ansatz is inconsistent with any restricted (see below) NLE but the Maxwell electrodynamics. In particular, this implies that the (standard) Newman--Janis algorithm cannot be used to generate rotating solutions for any restricted nontrivial NLE. We present a few explicit examples of slowly rotating solutions in particular models of NLE, as well as briefly discuss the NLE charged Taub-NUT spacetimes." @default.
- W4281955462 created "2022-06-13" @default.
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- W4281955462 date "2022-05-27" @default.
- W4281955462 modified "2023-10-18" @default.
- W4281955462 title "Slowly rotating black holes in nonlinear electrodynamics" @default.
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- W4281955462 doi "https://doi.org/10.1103/physrevd.105.104064" @default.
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