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

Andreasson, Hakan; Rendall, Alan D.; Weaver, Marsha

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

MPS-Authors

Andreasson, Hakan
Geometric Analysis and Gravitation, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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Rendall, Alan D.
Geometric Analysis and Gravitation, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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Andreasson, H., Rendall, A. D., & Weaver, M. (2004). Existence of CMC and constant areal time foliations in T^2 symmetric spacetimes with Vlasov matter. Communications in Partial Differential Equations, 29(1-2), 237-262.

Cite as: https://hdl.handle.net/11858/00-001M-0000-0013-507E-7

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.