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Strong curvature naked singularities in non-self-similar gravitational collapse

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Abstract

It is shown that strong curvature naked singularities form in a non-self-similar gravitational collapse of radiation. The imploding radiation space-times with a general form of mass function are analyzed and we show that a strong curvature property holds along all families of non-spacelike geodesies terminating at the singularity in past. In view of the strength of singularity and the non-self-similar nature of space-time, we believe this is a very serious counter-example which must be taken into account for any possible formulation of the cosmic censorship hypothesis.

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Authors and Affiliations

  1. Tata Institute of Fundamental Research, Homi Bhabha Road, 400 005, Colaba, Bombay, India

    P. S. Joshi

  2. Institute of Basic Sciences, Agra University, Khandari, Agra, India

    I. H. Dwivedi

Authors
  1. P. S. Joshi
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  2. I. H. Dwivedi
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Additional information

This essay received the fourth award from the Gravity Research Foundation, 1991 — Ed.

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Joshi, P.S., Dwivedi, I.H. Strong curvature naked singularities in non-self-similar gravitational collapse. Gen Relat Gravit 24, 129–137 (1992). https://doi.org/10.1007/BF00756781

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