General Relativity and Gravitation

, Volume 14, Issue 7, pp 637–646 | Cite as

Empty spaces and perfect fluids with homothetic transformation

  • R. Debever
  • N. Kamran
Research Articles


A class of Lorentzian metrics in one variable that admits homothetic transformation is introduced. Solutions of Einstein's empty space equations are presented. The case of perfect fluids is discussed.


Differential Geometry Empty Space Perfect Fluid Space Equation Lorentzian Metrics 
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    Debever, R., McLenaghan, R. G., and Taricq, N. (1979).Gen. Rel. Grav.,10, 853.Google Scholar
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    Ozsváth, I. (1965).J. Math. Phys.,6, 590.Google Scholar
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    Wainwright et al. (1979).Gen. Rel. Grav.,10, 259.Google Scholar

Copyright information

© Plenum Publishing Corporation 1982

Authors and Affiliations

  • R. Debever
    • 1
  • N. Kamran
    • 1
  1. 1.Département de MathématiqueUniversité Libre de BruxellesBrusselsBelgium

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