Communications in Mathematical Physics

, Volume 4, Issue 2, pp 137–142 | Cite as

Über Lösungen der Einsteinschen Feldgleichungen, die sich in einen fünfdimensionalen flachen Raum einbetten lassen

  • H. Stephani
Article

Abstract

Solutions of the Einstein equations which can be embedded in a flat five dimensional space are studied, without referring to the explicit form of the embedding. Those describing the gravitational field of a perfect fluid or an electromagnetic null field are invariantly characterized; in some special cases the metric is fully determined.

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Literatur

  1. [1]
    Rosen, J.: Rev. Mod. Phys.37, 204–214 (1965).Google Scholar
  2. [2]
    Kohler, M., andK. L. Chao: Z. Naturforsch.20, 1537–1543 (1965).Google Scholar
  3. [3]
    Singh, P., andS. N. Pandey: Proc. Ind. Acad. Sci.26, 665 (1960).Google Scholar
  4. [4]
    Fujitani, T., M. Jkeda, andM. Matsumoto: J. Math. Kyoto Univ.1, 43 (1961).Google Scholar
  5. [5]
    Jkeda, M., S. Kitamura, andM. Matsumoto: J. Math. Kyoto Univ.3, 71 (1965).Google Scholar
  6. [6]
    Kruskal, M.: Phys. Rev.119, 1743 (1960).Google Scholar
  7. [7]
    Szekeres, P.: Nuovo Cimento XLIIIA, 1062 (1966).Google Scholar
  8. [8]
    Eisenhart, L.: Riemannian Geometry. Princeton: University Press 1926.Google Scholar
  9. [9]
    Ehlers, J.: Abh. Mainz. Akad. Wiss. 1961, Nr. 11.Google Scholar
  10. [10]
    Jordan, P., u.W. Kundt: Abh. Mainz. Akad. Wiss. 1961, Nr. 3.Google Scholar
  11. [11]
    Kundt, W.: Z. Phys.163, 77 (1961).Google Scholar

Copyright information

© Springer-Verlag 1967

Authors and Affiliations

  • H. Stephani
    • 1
    • 2
  1. 1.Theoretisch-Physikalisches Institut der Universität JenaGermany
  2. 2.69 JenaDDR

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