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General Relativity and Gravitation

, Volume 9, Issue 5, pp 393–398 | Cite as

A note on Godel's metric

  • Franco Bampi
  • Clara Zordan
Research Articles

Abstract

It is proved that every line element of the formds2=−dt2=−dx2+dy2+D(x)dz2-2E(x)dzdt, which satisfies Einstein equations for a perfect fluid, is necessarily isometric to the Gödel's universe.

Keywords

Differential Geometry Einstein Equation Line Element Perfect Fluid Satisfy Einstein Equation 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

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    Hawking, S. W., and Ellis, G. F. R. (1973).The Large Scale Structure of Space-Time (Cambridge Univ. Press, Cambridge).Google Scholar
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    Schmidt, H. (1966).J. Math. Phys.,7, 494.Google Scholar
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    Gödel, K. (1949),Rev. Mod. Phys.,21, 447.Google Scholar
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    Adler, R., Bazin, M., and Schiffer, M. (1965).Introduction to General Relativity (McGraw-Hill, New York).Google Scholar
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    Synge, J. L. (1960).Relativity: The General Theory (North Holland, Amsterdam).Google Scholar
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    Ryan, M. P., and Shepley, L. C. (1975).Homogeneous Relativistic Cosmologies (Princeton Univ. Press, Princeton).Google Scholar

Copyright information

© Plenum Publishing Corporation 1978

Authors and Affiliations

  • Franco Bampi
    • 1
  • Clara Zordan
    • 1
  1. 1.Istituto Matematico dell'Università di Genova Via L. B.GenovaItaly

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