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An approach to spherically symmetric perfect fluid solution in general relativity using thin layers

  • Elementary Particles and Fields
  • Published:
Acta Physica Hungarica

Abstract

The system of Einstein's field equations for a spherically symmetric perfect fluid is integrable in the event of constant mass density. Using this result we consider thin layers with the same symmetric properties. From the fitting conditions and by reducing the thickness of the layers to zero we obtain a new system of differential equations of the former constants of integration.

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References

  1. D. Kramer, H. Stephani, M. MacCallum and E. Herlt, Exact solutions of Einstein's field equations, VEB Deutscher Verlag der Wissenschaften, Berlin, 1980.

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  2. H. Stephani, Allgemeine Relativitätstheorie, VEB Deutscher Verlag der Wissenschaften, Berlin, 1988.

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Authors and Affiliations

  1. Physics Section, Friedrich Schiller University Jena, 6900, Jena, GDR

    P. Kroll

Authors
  1. P. Kroll
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Additional information

Dedicated to Professor E. Schmutzer (Jena) on the occasion of his 60th birthday

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Kroll, P. An approach to spherically symmetric perfect fluid solution in general relativity using thin layers. Acta Physica Hungarica 67, 363–366 (1990). https://doi.org/10.1007/BF03155817

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  • DOI: https://doi.org/10.1007/BF03155817

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