Original scientific paper
Regularizations of solutions for charged dust distributions in the Einstein-Maxwell theory
Dubravko Horvat
; Department of Physics, Simon Fraser University, Burnaby, British Columbia, V5A 1S6, Canada; Department of Physics, Faculty of Electrical Engineering and Computing, University of Zagreb, Unska 3, HR-10 000 Zagreb, Croatia
Saša Ilijić
; Department of Physics, Faculty of Electrical Engineering and Computing, University of Zagreb, Unska 3, HR-10 000 Zagreb, Croatia
Abstract
Regularization of singular solutions for the static spherically symmetric extremelly charged dust in the Majumdar-Papapetrou system has been investigated. Singularities are of such a type that solutions become physically unacceptable since physically relevant quantities (metric invariants) are singular as well. With a simple redefinition of the charge/energy distributions, these solutions can be regularized. A spectrum of solutions with a number of zero-nodes in the metric tensor is found, and it is shown that their regularization can be accomplished either by using a d-shell, or a thick shell distribution of matter. The bifurcating behaviour of regular solutions is not present any more, but quantized-like behaviour in the total mass allocated to the solutions is observed.
Keywords
Majumdar-Papapetrou system; charged dust; regularization of solutions; redefinition of the charge/energy distributions
Hrčak ID:
304095
URI
Publication date:
1.6.2005.
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