Four-parametric regular black hole solution

We present a regular class of exact black hole solutions of the Einstein equations coupled with a nonlinear electrodynamics source. For weak fields the nonlinear electrodynamics becomes the Maxwell theory, and asymptotically the solutions behave as the Reissner-Nordstroem one. The class is endowed w...

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Bibliographic Details
Published in:General relativity and gravitation 2005-04, Vol.37 (4), p.635-641
Main Authors: Ayon-Beato, Eloy, Garcia, Alberto
Format: Article
Language:English
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Summary:We present a regular class of exact black hole solutions of the Einstein equations coupled with a nonlinear electrodynamics source. For weak fields the nonlinear electrodynamics becomes the Maxwell theory, and asymptotically the solutions behave as the Reissner-Nordstroem one. The class is endowed with four parameters, which can be thought of as the mass m, charge q, and a sort of dipole and quadrupole moments alpha and beta , respectively. For alpha greater than or equal to 3, beta greater than or equal to 4, and |q| less than or equal to 2s sub(c)m the corresponding solutions are regular charged black holes. For alpha = 3, they also satisfy the weak energy condition. For alpha = beta = 0 we recover the Reissner-Nordstroem singular solution and for alpha = 3, beta = 4 the family includes a previous regular black hole reported by the authors.
ISSN:0001-7701
1572-9532
DOI:10.1007/s10714-005-0050-y