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

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

2004-09-28

arxiv.org/abs/gr-qc/0409103v3

Class. Quantum Grav. 22 (2005) 3817-3831

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

LaTeX (IOP style) 17 pages, 10 figures

Scientific paper

10.1088/0264-9381/22/19/001

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.

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