Abstract
It is shown that a geodesically complete, asymptotically Euclidean, static perfect fluid space-time satisfying the time-like convergence condition and having a connected fluid region is diffeomorphic to ℝ3×ℝ.
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Masood-ul-Alam, A.K.M. The topology of asymptotically Euclidean static perfect fluid space-time. Commun.Math. Phys. 108, 193–211 (1987). https://doi.org/10.1007/BF01210611
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DOI: https://doi.org/10.1007/BF01210611