New understanding of Majumdar-Papapetrou and Perj\'es-Israel-Wilson solutions
Changjun Gao

TL;DR
This paper demonstrates a method to eliminate naked singularities in Majumdar-Papapetrou and Perjés-Israel-Wilson solutions by introducing interior solutions, extending the understanding of these spacetime configurations.
Contribution
It presents a novel approach to remove naked singularities in these solutions through interior solution techniques, improving their physical plausibility.
Findings
Naked singularities can be erased using interior solutions.
The method applies to non-monopole sources in these solutions.
Enhanced understanding of the structure of these spacetime solutions.
Abstract
Hartle and Hawking have shown that, except for the case of only point monopoles as sources, both the Majumdar-Papapetrou and the Perj\'es-Israel-Wilson solutions have naked singularities if the space is asymptotically flat. In this article, by using the method of introducing interior solutions, these naked singularities are erased.
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Taxonomy
TopicsAdvanced Differential Geometry Research · Mathematics and Applications · Geometric Analysis and Curvature Flows
