Construction of N-body initial data sets in general relativity

Details Construction of N-body initial data sets in general relativity Construction of N-body initial data sets in general relativity

2010-04-08

arxiv.org/abs/1004.1355v1

Commun.Math.Phys.304:637-647,2011

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

Scientific paper

10.1007/s00220-011-1244-7

Given a collection of N solutions of the (3+1) vacuum Einstein constraint equations which are asymptotically Euclidean, we show how to construct a new solution of the constraints which is itself asymptotically Euclidean, and which contains specified sub-regions of each of the N given solutions. This generalizes earlier work which handled the time-symmetric case, thus providing a construction of large classes of initial data for the many body problem in general relativity.

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