Axistationary perfect fluids -- a tetrad approach
General Relativity and Quantum Cosmology
2009-10-31 v1
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.
Keywords
Cite
@article{arxiv.gr-qc/9805017,
title = {Axistationary perfect fluids -- a tetrad approach},
author = {G. Fodor and M. Marklund and Z. Perjés},
journal= {arXiv preprint arXiv:gr-qc/9805017},
year = {2009}
}
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12 pages