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arXiv · gr-qc/9907018

A point mass in an isotropic universe: III. The region $R\leq 2m$

Brien C. Nolan
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Abstract

McVittie's solution of Einstein's field equations, representing a point mass embedded into an isotropic universe, possesses a scalar curvature singularity at proper radius $R=2m$. The singularity is space-like and precedes, in the expanding case, all other events in the space-time. It is shown here that this singularity is gravitationally weak, and the possible structure of the region $R\leq 2m$ is investigated. A characterization of this solution which does not involve asymptotics is given.

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Brien C. Nolan. 1999-07-05. A point mass in an isotropic universe: III. The region $R\leq 2m$. https://doi.org/10.1088/0264-9381%2F16%2F10%2F310

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