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://ucris.univie.ac.at/portal/en/publications/on-static-nbody-configurations-in-relativity(da758397-8ca4-4da7-ad21-4a8c91fca5a6).html