A class of selfsimilar perfectfluid spacetimes, and a generalisation
Abstract
Selfsimilar solutions for generalrelativistic perfect fluids are investigated analytically, considering the simplest class of solutions in which hypersurface homogeneity is violated and generalizing the concept of selfsimilarity. In a large subclass of solutions, the orbits of the fourparameter spacetime similarity group are hypersurfaces which, unlike those of the simplest solutions, are not necessarily orthogonal to the fluid flow and may not even be spacelike. This subclass is shown to include both spatially homogeneous tilted BianchiBehr type V cosmological models and the spatially inhomogeneous but observationally homogeneous model described by Goode (1980) and Goode and Wainwright (1986). The latter fluid is found to have a physically reasonable equation of state and nonzero shear and acceleration.
 Publication:

Classical and Quantum Gravity
 Pub Date:
 January 1987
 DOI:
 10.1088/02649381/4/1/009
 Bibcode:
 1987CQGra...4...61C
 Keywords:

 Cosmology;
 Ideal Fluids;
 Similarity Theorem;
 SpaceTime Functions;
 Astronomical Models;
 Equations Of State;
 Relativity;
 Physics (General)