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Metric inside collapsing matter

  • Physics of Elementary Particles and Field Theory
  • Published:
Soviet Physics Journal Aims and scope

Abstract

The metric within the matter is found for an exact self-similar solution: for a dusty sphere homogeneous over its volume. “Maps with a complex time” exist and show where the matter goes in the contraction stage and where it comes from in the expansion stage. The appearance of such a map is evidence of a complicated topology and contradicts the existence of trapping surfaces — a primary premise of topological theorems regarding singularities. The possibility of a replacement of a contraction by an expansion without an infinite-density singularity is discussed.

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Authors and Affiliations

  1. Moscow State University, Scientific-Research Institute of Nuclear Physics, USSR

    M. E. Gertsenshtein

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  1. M. E. Gertsenshtein
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Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 6, pp. 97—103, June, 1984.

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Gertsenshtein, M.E. Metric inside collapsing matter. Soviet Physics Journal 27, 531–537 (1984). https://doi.org/10.1007/BF00901876

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  • DOI: https://doi.org/10.1007/BF00901876

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