Axistationary perfect fluids -- a tetrad approach

Details Axistationary perfect fluids -- a tetrad approach Axistationary perfect fluids -- a tetrad approach

1998-05-06

arxiv.org/abs/gr-qc/9805017v1

Class.Quant.Grav. 16 (1999) 453-463

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

12 pages

Scientific paper

10.1088/0264-9381/16/2/010

Stationary axisymmetric perfect fluid space-times are investigated using the curvature description of geometries. Attention is focused on space-times with a vanishing electric part of the Weyl tensor. It is shown that the only incompressible axistationary magnetic perfect fluid is the interior Schwarzschild solution. The existence of a rigidly rotating perfect fluid, generalizing the interior Schwarzschild metric is proven. Theorems are stated on Petrov types and electric/magnetic Weyl tensors.

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