Masood-ul-Alam, A. K. M
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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