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


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.


Differential Geometry Einstein Equation Line Element Perfect Fluid Satisfy Einstein Equation 
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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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