Four-parametric regular black hole solution

2004/03/31 by Eloy Ayón-Beato, Alberto García · 205 citations
Mathematics · Physics and Astronomy · #Advanced Mathematical Physics Problems #Black Holes and Theoretical Physics #Black hole (networking) #Charge (physics) #Charged black hole #Class (philosophy) #Cosmology and Gravitation Theories #Dipole #Einstein #Extremal black hole #Nonlinear system #Rotating black hole #gr-qc #hep-th

paper · pdf · doi:10.1007/s10714-005-0050-y

published in General Relativity and Gravitation 37(4), 635-641 (Springer Science+Business Media) · RevTeX, 6 pages, minor changes

openalex publication_date 2005/04/01 · arxiv created 2005/05/05 · openalex created_date 2016/06/24 · arxiv updated 2016/08/16 · openalex updated_date 2026/08/06

Abstract

We present a regular class of exact black hole solutions of 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-Nordström 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 α and β, respectively. For α≥ 3, β≥ 4, and |q| ≤ 2 s_c m the corresponding solutions are regular charged black holes. For α=3, they also satisfy the weak energy condition. For α=β=0 we recover the Reissner-Nordström singular solution and for α=3, β=4 the family includes a previous regular black hole reported by the authors.

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