Mathematics – Logic
Scientific paper
Oct 1988
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1988gregr..20.1019l&link_type=abstract
General Relativity and Gravitation, Volume 20, Issue 10, pp.1019-1035
Mathematics
Logic
9
Cosmological Models:General Relativity, General Relativity:Cosmological Models
Scientific paper
A new class of expanding cosmological solutions is derived. The matter content of these models is a mixture of two interacting simple fluids: the first one, homogeneous and isotropic with equation of statep = (γ-1)ρ, the dynamics of which is given by the FRW equation and the second one an inhomogenous dust. The limiting case of two dusts corresponds to the Szekeres' universes of class II. A large subclass of the models evolve to a FRW phase for all physically meaningful values of the polytropic indexγ and the curvature parameterk. A gauge condition, under which the metric is invariant, is shown to exist for k≠0. In particular, it explains why the parabolic model is a peculiar solution in the class found by Szekeres.
Lima A. S. J.
Tiomno Jayme
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