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The Central Singularity in Spherical Collapse

Brien C. Nolan
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Abstract

The gravitational strength of the central singularity in spherically symmetric space-times is investigated. Necessary conditions for the singularity to be gravitationally weak are derived and it is shown that these are violated in a wide variety of circumstances. These conditions allow conclusions to be drawn about the nature of the singularity without having to integrate the geodesic equations. In particular, any geodesic with a non-zero amount of angular momentum which impinges on the singularity terminates in a strong curvature singularity.

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Brien C. Nolan. 2000-03-04. The Central Singularity in Spherical Collapse. https://doi.org/10.1103/physrevd.62.044015

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