Averaging Vacuum Solutions

Abstract

Mikhail Batanov-Gaukhman and Julian Cruz

This article discusses known and additional solutions of Einstein's vacuum equations without a lambda term and with a lambda term, with signatures (+ – – –) and (– + + +). The possibility of averaging these solutions is investigated. It is shown that the averaging of metrics-solutions of Einstein's vacuum equations can be used as the basis for metric-dynamic models of stable vacuum formations of the corpuscular type. Ways to solve the problems that arose in this case related to spatial singularities and spherical voids are proposed.

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