Existence of CMC and constant areal time foliations in T^2 symmetric spacetimes with Vlasov matter

Hakan Andreasson; Alan D. Rendall; Marsha Weaver

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Existence of CMC and constant areal time foliations in T^2 symmetric spacetimes with Vlasov matter

Hakan Andreasson·Alan D. Rendall·Marsha Weaver

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Abstract

The global structure of solutions of the Einstein equations coupled to the Vlasov equation is investigated in the presence of a two-dimensional symmetry group. It is shown that there exist global CMC and areal time foliations. The proof is based on long-time existence theorems for the partial differential equations resulting from the Einstein-Vlasov system when conformal or areal coordinates are introduced.

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Hakan Andreasson, Alan D. Rendall, Marsha Weaver. 2002-11-18. Existence of CMC and constant areal time foliations in T^2 symmetric spacetimes with Vlasov matter. https://arxiv.org/abs/gr-qc/0211063

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