Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
2005-12-08
Can. J. Phys. 85 (2007) 957-965
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
LaTeX/RevTeX, 7 pages 2 figures, changes wrt v1: results unchanged but discussion considerably extended and several references
Scientific paper
10.1139/P07-090
Solutions for the static spherically symmetric extremally charged dust in the Majumdar--Papapetrou system have been found. For a certain amount of the allocated mass/charge, the solutions have singularities of a type which could render them physically unacceptable, since the corresponding physically relevant quantities are singular as well. These solutions, with a number of zero-nodes in the metric tensor, are regularized through the $\delta$-shell formalism, thus redefining the mass/charge distributions. The bifurcating behaviour of regular solutions found before is no longer present in these singular solutions, but quantized-like behaviour in the total mass is observed. Spectrum of regularized solutions restores the equality of the Tolman--Whittaker and ADM mass, as well the equality of the net charge and ADM mass, which is the distinctive feature of Majumdar--Papapetrou systems.
Horvat Dubravko
Ilijic Sasa
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