REGULARIZATIONS OF SOLUTIONS FOR CHARGED DUST DISTRIBUTIONS IN THEEINSTEIN-MAXWELL THEORY

[摘要] Regularization of singular solutions for the static spherically symmetric extremellycharged dust in the Majumdar-Papapetrou system has been investigated. Singularities are ofsuch a type that solutions become physically unacceptable since physically relevantquantities (metric invariants) are singular as well. With a simple redefinition of thecharge/energy distributions, these solutions can be regularized. A spectrum of solutionswith a number of zero-nodes in the metric tensor is found, and it is shown that theirregularization can be accomplished either by using a d-shell,or a thick shell distribution of matter. The bifurcating behaviour of regular solutions isnot present any more, but quantized-like behaviour in the total mass allocated to thesolutions is observed.

[学科分类] 物理（综合）

[关键词] Majumdar-Papapetrou system;charged dust;regularization of solutions;redefinition of the charge/energy distributions