Working Paper Article Version 2 This version is not peer-reviewed

Non-Singular Model of Magnetized Black Hole Based on Nonlinear Electrodynamics

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)

A peer-reviewed article of this Preprint also exists.

Kruglov, S.I. Non-Singular Model of Magnetized Black Hole Based on Nonlinear Electrodynamics. Universe 2019, 5, 225. Kruglov, S.I. Non-Singular Model of Magnetized Black Hole Based on Nonlinear Electrodynamics. Universe 2019, 5, 225.

Abstract

New modi ed Hayward metric of magnetically charged non-singular black hole spacetime in the framework of nonlinear electrodynamics is constructed. When the fundamental length introduced, characterising quantum gravity effects, vanishes one comes to the general relativity coupled with the Bronnikov model of nonlinear electrodynamics. The metric can have one (an extreme) horizon, two horizons of black holes, or no horizons corresponding to the particle-like solution. Corrections to the Reissner-Nordström solution are found as the radius approaches to in nity. As r -> 0 the metric has a de Sitter core showing the absence of singularities. The asymptotic of the Ricci and Kretschmann scalars are obtained and they are nite everywhere. The thermodynamics of black holes, by calculating the Hawking temperature and the heat capacity, is studied. It is demonstrated that phase transitions take place when the Hawking temperature possesses the maximum. Black holes are thermodynamically stable at some range of parameters.

Keywords

non-singular black hole; modified theory of gravity; nonlinear electrodynamics; Reissner-Nordström solution; thermodynamics; Hawking temperature

Subject

Physical Sciences, Thermodynamics

Comments (1)

Comment 1
Received: 11 December 2019
Commenter: Sergey Kruglov
Commenter's Conflict of Interests: Author
Comment: The manuscript has been revised throughout according to reviewers' suggestions.
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