A class of self-similar perfect-fluid spacetimes, and a generalisation

Details A class of self-similar perfect-fluid spacetimes, and a generalisation A class of self-similar perfect-fluid spacetimes, and a generalisation

Jan 1987

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1987cqgra...4...61c&link_type=abstract

Classical and Quantum Gravity (ISSN 0264-9381), vol. 4, Jan. 1, 1987, p. 61-78.

Mathematics

Logic

19

Cosmology, Ideal Fluids, Similarity Theorem, Space-Time Functions, Astronomical Models, Equations Of State, Relativity

Scientific paper

Self-similar solutions for general-relativistic perfect fluids are investigated analytically, considering the simplest class of solutions in which hypersurface homogeneity is violated and generalizing the concept of self-similarity. In a large subclass of solutions, the orbits of the four-parameter space-time 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 Bianchi-Behr 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.

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