Existence of CMC and Constant Areal Time Foliations inT2Symmetric Spacetimes with Vlasov Matter
- 1 January 2005
- journal article
- Published by Taylor & Francis in Communications in Partial Differential Equations
- Vol. 29 (1-2) , 237-262
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.Keywords
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