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The method of conformal mapping and new solutions of the einstein equations with the energy-momentum tensor of an ideal fluid

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Abstract

Two solutions with the energy-momentum tensor of an ideal fluid are obtained on the basis of theorems proved earlier by the author on the possibility of constructing new solutions of the Einstein equations from solutions already known by means of conformal mapping. The first of these solutions is a conformal correspondent to the De Sitter solution, and the second corresponds to the class of Friedman solutions. The explicit form of the metrics of the new solutions and of the parameters of the energy-momentum tensor is written out, and the properties of the corresponding space-times are also investigated.

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Authors and Affiliations

  1. Kuban State University, USSR

    A. V. Nosovets

Authors
  1. A. V. Nosovets
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Additional information

Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 4, pp. 111–115, April, 1977.

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Nosovets, A.V. The method of conformal mapping and new solutions of the einstein equations with the energy-momentum tensor of an ideal fluid. Soviet Physics Journal 20, 515–518 (1977). https://doi.org/10.1007/BF01207700

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  • DOI: https://doi.org/10.1007/BF01207700

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