The topology of asymptotically Euclidean static perfect fluid space-time

Abstract

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 . Show more