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In this paper we prove a global existence theorem, in the direction of cosmological expansion, for sufficiently small perturbations of a family of $n+1$-dimensional, $n \geq 3$, spatially compact spacetimes which generalizes the $k=-1$ Friedmann--Robertson--Walker vacuum spacetime.
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2006
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Lars Andersson, Thierry Barbot, Riccardo Benedetti, Francesco Bonsante, William M. Goldman, François Labourie, Kevin P. Scannell, and Jean-Marc Schlenker, Notes on: “Lorentz spacetimes of constant curvature” [Geom. Dedicata 126
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Geoffrey Mess, Lorentz spacetimes of constant curvature , Geom. Dedicata 126
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Vincent Moncrief, Relativistic Teichmüller theory—a Hamilton-Jacobi approach to 2 + 1 2+1 -dimensional Einstein gravity , Surveys in differential geometry. Vol. XII. Geometric flows, Surv. Differ. Geom., vol. 12, Int. Press, Somerville, MA, 2008, pp. 203–249
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2005
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2008
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