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Dynamics of solutions of the Einstein equations with twisted Gowdy symmetry
Alan D. Rendall
Some of the most interesting results on the global dynamics of solutions of the vacuum Einstein equations concern the Gowdy spacetimes whose spatial topology is that of a three-dim…
A class of dust-like self-similar solutions of the massless Einstein-Vlasov system
Alan D. Rendall, Juan J. L. Velazquez
In this paper the existence of a class of self-similar solutions of the Einstein-Vlasov system is proved. The initial data for these solutions are not smooth, with their particle d…
A global foliation of Einstein-Euler spacetimes with Gowdy-symmetry on T3
Philippe G. LeFloch, Alan D. Rendall
We investigate the initial value problem for the Einstein-Euler equations of general relativity under the assumption of Gowdy symmetry on T3, and we construct matter spacetimes wit…
Future geodesic completeness of some spatially homogeneous solutions of the vacuum Einstein equations in higher dimensions
Arne Goedeke, Alan D. Rendall
It is known that all spatially homogeneous solutions of the vacuum Einstein equations in four dimensions which exist for an infinite proper time towards the future are future geode…