Construction of N-Body Initial Data Sets in General Relativity

Piotr T. Chrusciel; Justin Corvino; James Isenberg

doi:10.1007/s00220-011-1244-7

Construction of N-Body Initial Data Sets in General Relativity

Piotr T. Chrusciel (Corresponding author), Justin Corvino, James Isenberg

Gravitational Physics

Publications: Contribution to journal › Article › Peer Reviewed

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.

Original language	English
Pages (from-to)	637-647
Number of pages	11
Journal	Communications in Mathematical Physics
Volume	304
Issue number	3
DOIs	https://doi.org/10.1007/s00220-011-1244-7
Publication status	Published - 2011

Austrian Fields of Science 2012

103036 Theoretical physics
103028 Theory of relativity
103019 Mathematical physics

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10.1007/s00220-011-1244-7

http://arxiv.org/abs/1004.1355

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title = "Construction of N-Body Initial Data Sets in General Relativity",

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.",

author = "Chrusciel, {Piotr T.} and Justin Corvino and James Isenberg",

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T1 - Construction of N-Body Initial Data Sets in General Relativity

AU - Chrusciel, Piotr T.

AU - Corvino, Justin

AU - Isenberg, James

PY - 2011

Y1 - 2011

N2 - 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.

AB - 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.

U2 - 10.1007/s00220-011-1244-7

DO - 10.1007/s00220-011-1244-7

M3 - Article

SN - 0010-3616

VL - 304

SP - 637

EP - 647

JO - Communications in Mathematical Physics

JF - Communications in Mathematical Physics

IS - 3

ER -

Construction of N-Body Initial Data Sets in General Relativity

Abstract

Austrian Fields of Science 2012

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