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Analytical Description of Voids in Majumdar-Papapetrou Spacetimes

Victor Varela
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Abstract

We discuss new Majumdar-Papapetrou solutions for the 3+1 Einstein-Maxwell equations, with charged dust acting as the external source of the fields. The solutions satisfy non-linear potential equations which are related to well-known wave equations of 1+1 soliton physics. Although the matter distributions are not localised, they present central structures which may be identified with voids.

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Victor Varela. 1999-11-17. Analytical Description of Voids in Majumdar-Papapetrou Spacetimes. https://arxiv.org/abs/gr-qc/9911062

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