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Construction of N-Body Initial Data Sets in General Relativity

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Abstract

Given a collection of N solutions of the (3 + 1) Einstein constraint equations which are asymptotically Euclidean and vacuum near infinity, 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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Authors and Affiliations

  1. Gravitationsphysik, University of Vienna, A1190, Vienna, Austria

    Piotr T. Chruściel

  2. Department of Mathematics, Lafayette College, Easton, PA, 18042, USA

    Justin Corvino

  3. Department of Mathematics, University of Oregon, Eugene, OR, 97403, USA

    James Isenberg

Authors
  1. Piotr T. Chruściel
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  2. Justin Corvino
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  3. James Isenberg
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Corresponding author

Correspondence to Justin Corvino.

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Communicated by M. Aizenman

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Chruściel, P.T., Corvino, J. & Isenberg, J. Construction of N-Body Initial Data Sets in General Relativity. Commun. Math. Phys. 304, 637–647 (2011). https://doi.org/10.1007/s00220-011-1244-7

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  • DOI: https://doi.org/10.1007/s00220-011-1244-7

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