Physics – Fluid Dynamics
Scientific paper
Feb 1986
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1986cajph..64..191c&link_type=abstract
Canadian Journal of Physics (ISSN 0008-4204), vol. 64, Feb. 1986, p. 191-199.
Physics
Fluid Dynamics
33
Fluid Dynamics, Ideal Fluids, Relativity, Astronomical Models, Cosmology, Equations Of State, Gravitational Collapse, Space-Time Functions, Uniqueness Theorem
Scientific paper
It has been conjectured that either the expansion or the rotation is necessarily zero for a large class of shear-free general-relativistic perfect fluids that obey a barotropic equation of state. If this conjecture is true, there exist three mutually exclusive subclasses, according to whether or not the expansion and the rotation are zero separately or simultaneously. It is noted that, of these, the most physically interesting subclass is that in which the expansion is not zero, since this subclass may contain space-times that are suitable for the description of collapsing stars or expanding cosmologies. It is shown that the Friedmann-Robertson-Walker (FRW) models are the only ones in which the matter is physically reasonable on a global scale; this provides a global uniqueness theorem for FRW models.
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