On Static n-body Configurations in Relativity
| dc.creator | Beig, Robert | |
| dc.creator | Schoen, Richard M. | |
| dc.date | 2008-11-11 | |
| dc.date | 2009-03-08 | |
| dc.date.accessioned | 2026-07-07T12:55:17Z | |
| dc.date.available | 2026-07-07T12:55:17Z | |
| dc.description | The static n-body problem of General Relativity states that there are, under a reasonable energy condition, no static $n$-body configurations for $n > 1$, provided the configuration of the bodies satisfies a suitable separation condition. In this paper we solve this problem in the case that there exists a closed, noncompact, totally geodesic surface disjoint from the bodies. This covers the situation where the configuration has a reflection symmetry across a noncompact surface disjoint from the bodies. | |
| dc.description | 10 pages; result generalized to allow for more than one asymptotically flat end | |
| dc.identifier | https://arxiv.org/abs/0811.1727 | |
| dc.identifier | http://arxiv.org/abs/0811.1727 | |
| dc.identifier | Class.Quant.Grav.26:075014,2009 | |
| dc.identifier | doi:10.1088/0264-9381/26/7/075014 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/224206 | |
| dc.subject | General Relativity and Quantum Cosmology | |
| dc.title | On Static n-body Configurations in Relativity | |
| dc.type | text |