Magnetic Black Hole Thermodynamics in an Extended Phase Space with Nonlinear Electrodynamics

S. I. Kruglov

doi:10.20944/preprints202402.0478.v2

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preprints.org > physical sciences > astronomy and astrophysics > doi: 10.20944/preprints202402.0478.v2

Preprint Article Version 2 Preserved in Portico This version is not peer-reviewed

Magnetic Black Hole Thermodynamics in an Extended Phase Space with Nonlinear Electrodynamics

S. I. Kruglov

Version 1 : Received: 7 February 2024 / Approved: 8 February 2024 / Online: 8 February 2024 (10:10:05 CET)
Version 2 : Received: 11 March 2024 / Approved: 12 March 2024 / Online: 12 March 2024 (08:10:18 CET)

A peer-reviewed article of this Preprint also exists.

Kruglov, S.I. Magnetic Black Hole Thermodynamics in an Extended Phase Space with Nonlinear Electrodynamics. Entropy 2024, 26, 261. Kruglov, S.I. Magnetic Black Hole Thermodynamics in an Extended Phase Space with Nonlinear Electrodynamics. Entropy 2024, 26, 261.

Abstract

We study Einstein's gravity coupled to nonlinear electrodynamics with two parameters in Anti-de Sitter spacetime. Magnetically charged black holes in an extended phase space is investigated. We obtain the mass and metric functions, their asymptotic and corrections to the Reissner--Nordstr\"{o}m metric function when the cosmological constant vanishes. The first law of black hole thermodynamics in extended phase space is formulated and the magnetic potential and the thermodynamic conjugate to the coupling are obtained. We proved the generalized Smarr relation. The heat capacity and the Gibbs free energy are computed and phase transitions are studied. It was shown that the electric field of charged objects at the origin and electrostatic self-energy are finite within the nonlinear electrodynamics proposed.

Keywords

Einstein's gravity; black holes; thermodynamics; Smarr relation; Gibbs free energy; Anti-de Sitter spacetime

Subject

Physical Sciences, Astronomy and Astrophysics

Copyright: This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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