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Displaying similar documents to “The initial value problem for closed universes”

Einstein-Euler equations for matter spacetimes with Gowdy symmetry

Philippe G. LeFloch (2008-2009)

Séminaire Équations aux dérivées partielles

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We investigate the initial value problem for the Einstein-Euler equations of general relativity under the assumption of Gowdy symmetry on T 3 . Given an arbitrary initial data set, we establish the existence of a globally hyperbolic future development and we provide a global foliation of this spacetime in terms of a geometrically defined time-function coinciding with the area of the orbits of the symmetry group. This allows us to construct matter spacetimes with weak regularity which admit,...