The shadow of M87* black hole within rational nonlinear electrodynamics

Abstract

We consider rational nonlinear electrodynamics with the Lagrangian $\mathcal{L}=-\mathcal{F}/(1+2\beta \mathcal{F})$ ($\mathcal{F}=(1/4)F_{\mu \nu }{F}^{\mu \nu }$ is the Lorentz-invariant), proposed in [63], coupled to General Relativity. The effective geometry induced by nonlinear electrodynamics corrections are found. We determine shadow's size of regular non-rotating magnetic black holes and compare them with the shadow size of the super-massive M87* black hole imaged by the Event Horizon Telescope collaboration. Assuming that the black hole mass has a pure electromagnetic nature, we obtain the black hole magnetic charge. The size of the shadow obtained is very close to the shadow size of non-regular neutral Schwarzschild black holes. As a result, we can interpret the super-massive M87* black hole as a regular (without singularities) magnetized black hole.

arXiv comment12 pages, 1 figure, accepted in MPLA

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