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We study the asymptotic behavior of convex Cauchy hypersurfaces on maximal globally hyperbolic spatially compact space-times of constant curvature.
Gravitational collapse and space-time singularities
Roger Penrose · 1965
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The occurrence of singularities in cosmology. II
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Earlier work this paper cites.
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Earlier work this paper cites.
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Earlier work this paper cites.
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Earlier work this paper cites.
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Constant mean curvature foliations of globally hyperbolic spacetimes locally modelled on AdS 3 {\rm AdS}_{3}
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The equivariant minkowski problem in minkowski space
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