The topology of asymptotically Euclidean static perfect fluid space-time
In this thesis we prove that a (geodesically) complete, asymptotically Euclidean, static perfect fluid space-time with connected fluid reglon and satisfying the time-like convergence condition lS diffeomorphic to R³ x R . It is believed that such a space-time would be spherically symmetric at least for physically reasonable conditions on the density function p and the pressure function p .
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