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Regular and quasi black hole solutions for spherically symmetric charged dust distributions in the Einstein–Maxwell theory

2004/09/30 by Dubravko Horvat, Saša Ilijić, Sasa Ilijic +2
Physics and Astronomy · #Astrophysical Phenomena and Observations #Black hole (networking) #Charged black hole #Class (philosophy) #Construct (python library) #Cosmology and Gravitation Theories #Distribution (mathematics) #Dust and Plasma Wave Phenomena #Minkowski space #Spherically symmetric spacetime #gr-qc

paper · pdf · doi:10.1088/0264-9381/22/19/001

published as Class. Quantum Grav. 22 (2005) 3817-3831 · LaTeX (IOP style) 17 pages, 10 figures

openalex publication_date 2005/09/09 · arxiv created 2005/09/11 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

Static spherically symmetric distributions of electrically counterpoised dust (ECD) are used to construct solutions to Einstein-Maxwell equations in Majumdar--Papapetrou formalism. Unexpected bifurcating behaviour of solutions with regard to source strength is found for localized, as well as for the delta-function ECD distributions. Unified treatment of general ECD distributions is accomplished and it is shown that for certain source strengths one class of regular solutions approaches Minkowski spacetime, while the other comes arbitrarily close to black hole solutions.

Citations