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Penrose diagram analysis of Schwarzschild-Friedmann space-time

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Abstract

We discuss unified cosmological models in which the Schwarzschild solution is chosen as a discontinuity on the Friedmann background. We distinguish the models by the choice of an arbitrary function f(κ) in the Schwarzschild solution for synchronous coordinate systems. We build the Penrose diagrams for these models.

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Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 7, pp. 59–64, July, 1991.

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Korkina, M.P., Buts, S.V. Penrose diagram analysis of Schwarzschild-Friedmann space-time. Soviet Physics Journal 34, 612–616 (1991). https://doi.org/10.1007/BF00897991

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Keywords

  • Coordinate System
  • Arbitrary Function
  • Cosmological Model
  • Diagram Analysis
  • Penrose Diagram