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FIZIKA B 14 (2005) 2, 283 - 302
 
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
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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