Working Paper Article Version 2 This version is not peer-reviewed

# The Shadow of M87* Black Hole within Rational Nonlinear Electrodynamics

Version 1 : Received: 12 April 2020 / Approved: 15 April 2020 / Online: 15 April 2020 (03:37:03 CEST)
Version 2 : Received: 25 August 2020 / Approved: 25 August 2020 / Online: 25 August 2020 (07:57:30 CEST)

How to cite: Kruglov, S. The Shadow of M87* Black Hole within Rational Nonlinear Electrodynamics. Preprints 2020, 2020040228 Kruglov, S. The Shadow of M87* Black Hole within Rational Nonlinear Electrodynamics. Preprints 2020, 2020040228

## Abstract

We consider rational nonlinear electrodynamics with the Lagrangian ${\cal L} = -{\cal F}/(1+2\beta{\cal F})$ (${\cal F}=(1/4)F_{\mu\nu}F^{\mu\nu}$ is the Lorentz-invariant), proposed in \cite{Krug2}, 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.

## Subject Areas

nonlinear electrodynamics; magnetic black holes; Event Horizon Telescope; M87* black hole

Comment 1
Commenter: Sergey Kruglov
Commenter's Conflict of Interests: Author
Comment: Extended version. A figure was added.
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