Gyula Fodor et al 1999 Class. Quantum Grav. 16 453 doi:10.1088/0264-9381/16/2/010
Axistationary perfect fluids - a tetrad approach
Gyula Fodor
, Mattias Marklund
and Zoltán Perjés
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.
- PACS
-
04.40.Nr Einstein-Maxwell spacetimes, spacetimes with fluids, radiation or classical fields
- MSC
-
58D30 Applications (in quantum mechanics (Feynman path integrals), relativity, fluid dynamics, etc.)
- Subjects
- Dates
-
Issue 2 (February 1999)
Received 17 August 1998, in final form 12 October 1998
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Axistationary perfect fluids - a tetrad approach
Gyula Fodor et al 1999 Class. Quantum Grav. 16 453
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