Construction of N-body initial data sets in general relativity

Abstract

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.

References in corpus (4)

• Existence of non-trivial, vacuum, asymptotically simple space-times
• Killing Initial Data
• On mapping properties of the general relativistic constraints operator in weighted function spaces, with applications
• Manifold structures for sets of solutions of the general relativistic constraint equations

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