Thermal properties of regular black hole with electric charge in Einstein gravity coupled to nonlinear electrodynamics

doi:10.1088/1674-1056/ab4e80

Abstract We propose a regular spherically symmetric spacetime solution with three parameters in Einstein gravity coupled to nonlinear electrodynamics (NED), which describes the NED black hole with electric charge. It is found that the system enclosed by the horizon of NED spacetime satisfies the first law of thermodynamics. In order to obtain the NED spacetime with only electric charge, the case of two parameters taking the same value is considered. In this case, we express the mass of the NED spacetime as a function of the entropy and electric charge of the NED black hole, give the Smarr-like formula and the approximate Smarr formula for the mass of NED spacetime.

Keywords: regular nonlinear electrodynamics (NED) spacetime NED black hole with electric charge first law of thermodynamics Smarr formula

Received: 31 July 2019
Revised: 23 September 2019
Accepted manuscript online:

PACS:	04.70.Dy	(Quantum aspects of black holes, evaporation, thermodynamics)
	98.80.-k	(Cosmology)
	98.80.Es	(Observational cosmology (including Hubble constant, distance scale, cosmological constant, early Universe, etc))

Fund: Project supported by the National Natural Science Foundation of China (Grant Nos. 11504027 and 11847011).

Corresponding Authors: Yi-Huan Wei
E-mail: yihuanwei@126.com

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Yi-Huan Wei(魏益焕) Thermal properties of regular black hole with electric charge in Einstein gravity coupled to nonlinear electrodynamics 2019 Chin. Phys. B 28 120401

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[1]	Energy and first law of thermodynamics for Born–Infeld–anti-de-Sitter black hole Wei Yi-Huan(魏益焕). Chin. Phys. B, 2010, 19(9): 090404.
[2]	Effective first law of thermodynamics of black holes with two horizons Wei Yi-Huan(魏益焕). Chin. Phys. B, 2009, 18(2): 821-824.

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Thermal properties of regular black hole with electric charge in Einstein gravity coupled to nonlinear electrodynamics

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