FIZIKA B 14 (2005)  2, 283 - 302

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REGULARIZATIONS OF SOLUTIONS FOR CHARGED DUST DISTRIBUTIONS IN THE EINSTEIN-MAXWELL THEORY

DUBRAVKO HORVATa,b and SAŠA ILIJIĆb

aDepartment of Physics, Simon Fraser University, Burnaby,
British Columbia, V5A 1S6, Canada
bDepartment of Physics, Faculty of Electrical Engineering and Computing,
University of Zagreb, Unska 3, HR-10 000 Zagreb, Croatia
E-mail addresses: horvat@sfu.ca,  sasa.ilijic@fer.hr

Dedicated to the memory of Professor Dubravko Tadić

Received 15 December 2005        Accepted 30 December 2005
Online 6 February 2006

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.

PACS numbers: 04.40.Nr
UDC 52-423, 531.51

Keywords: Majumdar-Papapetrou system, charged dust, regularization of solutions, redefinition of the charge/energy distributions

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