Axistationary perfect fluids -- a tetrad approach

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.

12 pages

References in corpus (1)

• Invariant construction of solutions to Einstein`s field equations - LRS perfect fluids I

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