Physics
Scientific paper
Dec 1993
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1993rspsa.443..493n&link_type=abstract
Proceedings: Mathematical and Physical Sciences, Volume 443, Issue 1919, pp. 493-515
Physics
11
Scientific paper
Consideration is given to the Cauchy problem for perfect fluid space-times which evolve from an initial singularity of conformal type. The evolution equations for the conformally transformed, unphysical geometry are shown to be expressible as a first order symmetric hyperbolic system, albeit with a singular forcing term. It is concluded that the 3-metric on the initial hypersurface of the unphysical space-time constitutes the freely specifiable initial data. Subject to Penroses's Weyl Curvature Hypothesis, according to which the Weyl tensor was initially zero, it follows that the physical space-time is Robertson-Walker. This may provide a basis for a new explanation for the large-scale isotropy of the universe.
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