A characterization of the central shell-focusing singularity in spherical gravitational collapse
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Publication:4935680
DOI10.1088/0264-9381/16/10/319zbMATH Open0946.83039arXivgr-qc/9808003OpenAlexW3102409370MaRDI QIDQ4935680
Author name not available (Why is that?)
Publication date: 12 October 2000
Published in: (Search for Journal in Brave)
Abstract: We give a characterization of the central shell-focusing curvature singularity that can form in the spherical gravitational collapse of a bounded matter distribution obeying the dominant energy condition. This characterization is based on the limiting behaviour of the mass function in the neighbourhood of the singularity. Depending on the rate of growth of the mass as a function of the area radius R, the singularity may be either covered or naked. The singularity is naked if this growth rate is slower than R, covered if it is faster than R, and either naked or covered if the growth rate is same as R.
Full work available at URL: https://arxiv.org/abs/gr-qc/9808003
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