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Self-similar spherical gravitational collapse and the cosmic censorship hypothesis

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Abstract

We show that a self-similar general relativistic spherical collapse of a perfect fluid with an adiabatic equation of statep=(γ−1)ϱ and low enough γ values, results in a naked singularity. The singularity is tangent to an event horizon which surrounds a massive singularity and the redshift along a null geodesic from the singularity to an external observer is infinite. We believe that this is the most serious counter example to cosmic censorship obtained so far.

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Authors and Affiliations

  1. Racah Institute of Physics, The Hebrew University, Jerusalem, Israel

    Amos Ori & Tsvi Piran

  2. The Institute for Advanced Study, 08540, Princeton, New Jersey

    Tsvi Piran

Authors
  1. Amos Ori
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  2. Tsvi Piran
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Additional information

This Essay received the fifth award from the Gravity Research Foundation for 1987-Ed.

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Ori, A., Piran, T. Self-similar spherical gravitational collapse and the cosmic censorship hypothesis. Gen Relat Gravit 20, 7–13 (1988). https://doi.org/10.1007/BF00759251

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  • DOI: https://doi.org/10.1007/BF00759251

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