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The structure of naked singularity in self-similar gravitational collapse

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Abstract

We study the structure and formation of naked singularities in selfsimilar gravitational collapse for an adiabatic perfect fluid. Conditions are obtained for the singularity to be either locally or globally naked and for the families of non-spacelike geodesics to terminate at the singularity in past. This is shown to be a strong curvature naked singularity in a powerful sense and an interesting relationship is pointed out between positivity of energy and occurrence of naked singularity.

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Author notes

  1. I. H. Dwivedi

    Present address: Institute of Basic Sciences, Agra University, Khandari, Agra, India

Authors and Affiliations

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

    P. S. Joshi & I. H. Dwivedi

Authors
  1. P. S. Joshi
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  2. I. H. Dwivedi
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Communicated by S.-T. Yau

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Joshi, P.S., Dwivedi, I.H. The structure of naked singularity in self-similar gravitational collapse. Commun.Math. Phys. 146, 333–342 (1992). https://doi.org/10.1007/BF02102631

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  • DOI: https://doi.org/10.1007/BF02102631

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