ar X iv : g r - qc / 0 21 10 63 v 1 1 8 N ov 2 00 2 Existence of CMC and constant areal time foliations in T 2 symmetric spacetimes with Vlasov matter
نویسنده
چکیده
The global structure of solutions of the Einstein equations coupled to the Vlasov equation is investigated in the presence of a twodimensional 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 EinsteinVlasov system when conformal or areal coordinates are introduced.
منابع مشابه
ar X iv : g r - qc / 0 21 00 88 v 1 2 5 O ct 2 00 2 On the existence of global solutions for T 3 - Gowdy spacetimes with stringy matter
We show a global existence theorem for Einstein-matter equations of T -Gowdy symmetric spacetimes with stringy matter. The areal time coordinate is used. It is shown that this spacetime has a crushing singularity into the past. From these results we can show that the spacetime is foliated by compact hypersurfaces of constant mean curvature. PACS: 02.03.Jr, 04.20.DW , 04.20.EX, 98.80.HW Present ...
متن کامل2 Existence of CMC and constant areal time foliations in T 2 symmetric spacetimes with Vlasov matter
The global structure of solutions of the Einstein equations coupled to the Vlasov equation is investigated in the presence of a twodimensional 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 EinsteinVlasov system when conformal or areal coordinates are ...
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تاریخ انتشار 2003