Piotr T Chruściel et al 2010 Class. Quantum Grav. 27 222002 doi:10.1088/0264-9381/27/22/222002
Piotr T Chruściel1, Justin Corvino2 and James Isenberg3
Show affiliationsIn general relativity, an initial data set for an isolated gravitational system takes the form of a solution of the Einstein constraint equations which is asymptotically Euclidean on a specified end. Given a collection of N such data sets with a subregion of interest (bounded away from the specified end) chosen in each, we show that there exists a family of new initial data sets, each of which contains exact copies of each of the N chosen subregions, positioned in a chosen array in a single asymptotic end. These composite initial data sets model isolated, relativistic gravitational systems containing N chosen bodies in specified initial configurations.
04.20.Ex Initial value problem, existence and uniqueness of solutions
83C05 Einstein's equations (general structure, canonical formalism, Cauchy problems)
83C30 Asymptotic procedures (radiation, news functions, H-spaces, etc.)
Issue 22 (21 November 2010)
Received 18 September 2010
Published 26 October 2010
Piotr T Chruściel et al 2010 Class. Quantum Grav. 27 222002
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