On Static n-body Configurations in Relativity

Details On Static n-body Configurations in Relativity On Static n-body Configurations in Relativity

2008-11-11

arxiv.org/abs/0811.1727v2

Class.Quant.Grav.26:075014,2009

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

10 pages; result generalized to allow for more than one asymptotically flat end

Scientific paper

10.1088/0264-9381/26/7/075014

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.

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