On static n-body configurations in relativity

Autor(en)

Robert Beig, Richard M Schoen

Abstrakt

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(en)

Gravitationsphysik

Externe Organisation(en)

Stanford University

Journal

Classical and Quantum Gravity

Band

26

Anzahl der Seiten

7

ISSN

0264-9381

DOI

https://doi.org/10.1088/0264-9381/26/7/075014

Publikationsdatum

2009

Peer-reviewed

Ja

ÖFOS 2012

103028 Relativitätstheorie, 103019 Mathematische Physik

Link zum Portal

https://ucrisportal.univie.ac.at/de/publications/da758397-8ca4-4da7-ad21-4a8c91fca5a6