Construction of regular black holes in general relativity

We present a general procedure for constructing exact black hole solutions with electric or magnetic charges in general relativity coupled to a nonlinear electrodynamics. We obtain a variety of two-parameter family spherically symmetric black hole solutions. In particular, the singularity at the cen...

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Bibliographic Details
Published in:Physical review. D 2016-12, Vol.94 (12), Article 124027
Main Authors: Fan, Zhong-Ying, Wang, Xiaobao
Format: Article
Language:English
Subjects:
Black holes
Cosmological constant
Electrodynamics
Energy conservation law
Parameters
Relativity
Spacetime
Theory of relativity
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Summary:We present a general procedure for constructing exact black hole solutions with electric or magnetic charges in general relativity coupled to a nonlinear electrodynamics. We obtain a variety of two-parameter family spherically symmetric black hole solutions. In particular, the singularity at the center of the space-time can be canceled in the parameter space and the black hole solutions become regular everywhere in space-time. We study the global properties of the solutions and derive the first law of thermodynamics. We also generalize the procedure to include a cosmological constant and construct regular black hole solutions that are asymptotic to anti–de Sitter space-time.
ISSN:2470-0010
2470-0029
DOI:10.1103/PhysRevD.94.124027