Einstein-Euler equations for matter spacetimes with Gowdy symmetry
We investigate the initial value problem for the Einstein-Euler equations of general relativity under the assumption of Gowdy symmetry on . 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, both, impulsive...