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arXiv · gr-qc/9805017

Axistationary perfect fluids -- a tetrad approach

G. Fodor·M. Marklund·Z. Perjés
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Abstract

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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G. Fodor, M. Marklund, Z. Perjés. 1998-05-06. Axistationary perfect fluids -- a tetrad approach. https://doi.org/10.1088/0264-9381%2F16%2F2%2F010

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