Existence of CMC and constant areal time foliations in T^2 symmetric spacetimes with Vlasov matter
arXiv:gr-qc/0211063
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.
arXiv comment31 pages
Cited by in corpus (8)
- Theorems on existence and global dynamics for the Einstein equations
- Inextendibility of expanding cosmological models with symmetry
- Spike Oscillations
- A global foliation of Einstein-Euler spacetimes with Gowdy-symmetry on T3
- Proof of the cosmic no-hair conjecture in the T^3-Gowdy symmetric Einstein-Vlasov setting
- The Einstein-Vlasov sytem/Kinetic theory
- Strong cosmic censorship for solutions of the Einstein-Maxwell field equations with polarized Gowdy symmetry
- On initial conditions and global existence for accelerating cosmologies from string theory