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

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

2002-11-18

arxiv.org/abs/gr-qc/0211063v1

Comm. Partial Differential Equations 29 (2004), 237-262.

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

31 pages

Scientific paper

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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