Axistationary perfect fluids - A tetrad approach

G. Fodor, Mattias Marklund, Zoltán Perjés

Research output: Contribution to journalArticle

16 Citations (Scopus)

Abstract

Stationary axisymmetric perfect fluid spacetimes are investigated using the curvature description of geometries. We formulate the equations in terms of components of the Riemann tensor and the Ricci rotation coefficients in a comoving Lorentz tetrad. It is shown that the only incompressible axistationary magnetic perfect fluid is the interior Schwarzschild solution. Further, we find that all rigidly rotating axistationary fluids with magnetic Weyl tensor have local rotational symmetry. Rigidly rotating fluid spacetimes with purely electric or purely magnetic Weyl tensor are shown to be of Petrov type D.

Original languageEnglish
Pages (from-to)453-463
Number of pages11
JournalClassical and Quantum Gravity
Volume16
Issue number2
DOIs
Publication statusPublished - Feb 1999

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rotating fluids
tensors
fluids
curvature
symmetry
coefficients
geometry

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Cite this

Axistationary perfect fluids - A tetrad approach. / Fodor, G.; Marklund, Mattias; Perjés, Zoltán.

In: Classical and Quantum Gravity, Vol. 16, No. 2, 02.1999, p. 453-463.

Research output: Contribution to journalArticle

Fodor, G. ; Marklund, Mattias ; Perjés, Zoltán. / Axistationary perfect fluids - A tetrad approach. In: Classical and Quantum Gravity. 1999 ; Vol. 16, No. 2. pp. 453-463.
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