Solutions of the Einstein Field Equations for a Rotating Perfect Fluid. Part 2. Properties of the Flow-Stationary and Vortex-Homogeneous Solutions

摘要

The first family of the flow-stationary and vortex-homogeneous solutions presented in Part 1 is investigated. Their symmetry group is shown to be 3-parametric, abelian and acting transitively on timelike hypersurfaces. Exterior solutions of the same symmetry are found and matched to the interior ones. The conformal curvature tensors are of Petrov type I, with one exception which is of Petrov type II. Matter filling the spacetime is shown to consist of co-axial cylinders rotating with different angular velocities. The redshift is found to be strongly anisotropic. The equation o1 state appears to result from the field equations.