Nonsingular Model of Magnetized Black Hole Based on Nonlinear Electrodynamics

Sergey I. Kruglov

doi:10.20944/preprints201910.0278.v1

Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

Version 1 : Received: 23 October 2019 / Approved: 24 October 2019 / Online: 24 October 2019 (11:10:19 CEST)
Version 2 : Received: 11 December 2019 / Approved: 11 December 2019 / Online: 11 December 2019 (03:02:35 CET)

We find solutions of a magnetically charged non-singular black hole in some modified theory of gravity coupled with nonlinear electrodynamics. The metric of a magnetized black hole is obtained which has one (an extreme horizon), two horizons, or no horizons (naked singularity). Corrections to the Reissner-Nordstrom solution are found as the radius approaches to infinity. The asymptotic of the Ricci and Kretschmann scalars are calculated showing the absence of singularities. We study the thermodynamics of black holes by calculating the Hawking temperature and the heat capacity. It is demonstrated that phase transitions take place and we show that black holes are thermodynamically stable at some range of parameters.

non-singular black hole; modified theory of gravity; nonlinear electrodynamics; reissner-nordstr\"{o}m solution; thermodynamics; Hawking temperature

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Nonsingular Model of Magnetized Black Hole Based on Nonlinear Electrodynamics

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