Generating new perfect-fluid solutions from known ones

István Rácz, József Zsigrai

Research output: Article

4 Citations (Scopus)


Stationary perfect-fluid configurations of Einstein's theory of gravity are studied. It is assumed that the 4-velocity of the fluid is parallel to the stationary Killing field, and also that the norm and the twist potential of the stationary Killing field are functionally independent. It has been pointed out earlier by one of us (IR) that for these perfect-fluid geometries some of the basic field equations are invariant under an SL(2, ℝ) transformation. Here it is shown that this transformation can be applied to generate possibly new perfect-fluid solutions from existing known ones only for the case of a barotropic equation of state ρ + 3p = 0. In order to study the effect of this transformation, its application to known perfect-fluid solutions is presented. In this way, different previously known solutions could be written in a singe compact form. A new derivation of all Petrov type D stationary axisymmetric rigidly-rotating perfect-fluid solutions with an equation of state ρ + 3p = constant is given in an appendix.

Original languageEnglish
Pages (from-to)2783-2795
Number of pages13
JournalClassical and Quantum Gravity
Issue number10
Publication statusPublished - dec. 1 1996

ASJC Scopus subject areas

  • Physics and Astronomy (miscellaneous)

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