Phase space for the Einstein equations
| dc.creator | Bartnik, Robert | |
| dc.date | 2004-02-16 | |
| dc.date.accessioned | 2026-07-07T03:28:28Z | |
| dc.date.available | 2026-07-07T03:28:28Z | |
| dc.description | A Hilbert manifold structure is described for the ADM phase space of asymptotically flat initial data $(g,π)$ with local $H^2\times H^1$ Sobolev regularity. Solutions of the constraint equations form a Hilbert submanifold. A regularized RT Hamiltonian is defined and smooth on the full phase space and generates the Einstein evolution for any lapse-shift asymptotic to a (time) translation at infinity. Critical points for the total (ADM) mass, considered as a function on the Hilbert manifold of constraint solutions, arise precisely at initial data generating stationary vacuum spacetimes. | |
| dc.description | 33 pages, 0 figures, LaTeX2e, submitted to Comm Analysis and Geometry | |
| dc.identifier | https://arxiv.org/abs/gr-qc/0402070 | |
| dc.identifier | http://arxiv.org/abs/gr-qc/0402070 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/34844 | |
| dc.subject | General Relativity and Quantum Cosmology | |
| dc.title | Phase space for the Einstein equations | |
| dc.type | text |