On static n-body configurations in relativity
- Author(s)
- Robert Beig, Richard M Schoen
- Abstract
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
- Organisation(s)
- Gravitational Physics
- External organisation(s)
- Stanford University
- Journal
- Classical and Quantum Gravity
- Volume
- 26
- No. of pages
- 7
- ISSN
- 0264-9381
- DOI
- https://doi.org/10.1088/0264-9381/26/7/075014
- Publication date
- 2009
- Peer reviewed
- Yes
- Austrian Fields of Science 2012
- 103028 Theory of relativity, 103019 Mathematical physics
- Portal url
- https://ucrisportal.univie.ac.at/en/publications/da758397-8ca4-4da7-ad21-4a8c91fca5a6