Non linear stability of einsteinian spacetimes with U(1) isometry group
| dc.creator | Choquet-Bruhat, Yvonne | |
| dc.creator | Moncrief, Vincent | |
| dc.date | 2003-02-07 | |
| dc.date.accessioned | 2026-07-07T03:27:37Z | |
| dc.date.available | 2026-07-07T03:27:37Z | |
| dc.description | We prove global completeness in the expanding direction of spacetimes satisfying the vacuum Einstein equations on a manifold of the form $Σ\times S^{1}\times R$ where $Σ$ is a compact surface of genus $G>1.$ The Cauchy data are supposed to be invariant with respect to the group $S^{1}$ and sufficiently small, but we do not impose a restrictive hypothesis made in gr-qc 0112049 on the lowest eigenvalue of a relevant Laplacian. The total energy decay still holds, but its rate depends of the asymptotic value of this eigenvalue. | |
| dc.description | Conference in honor of J. Leray, Tokyo 2001, Kajitani and Vaillant ed. to appear Birkhauser | |
| dc.identifier | https://arxiv.org/abs/gr-qc/0302021 | |
| dc.identifier | http://arxiv.org/abs/gr-qc/0302021 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/34501 | |
| dc.subject | General Relativity and Quantum Cosmology | |
| dc.title | Non linear stability of einsteinian spacetimes with U(1) isometry group | |
| dc.type | text |