Construction of N-Body Initial Data Sets in General Relativity
- Author(s)
- Piotr T. Chrusciel, Justin Corvino, James Isenberg
- 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.
- Organisation(s)
- Gravitational Physics
- External organisation(s)
- Lafayette College, University of Oregon
- Journal
- Communications in Mathematical Physics
- Volume
- 304
- Pages
- 637-647
- No. of pages
- 11
- ISSN
- 0010-3616
- DOI
- https://doi.org/10.1007/s00220-011-1244-7
- Publication date
- 2011
- Peer reviewed
- Yes
- Austrian Fields of Science 2012
- 103036 Theoretical physics, 103028 Theory of relativity, 103019 Mathematical physics
- Portal url
- https://ucris.univie.ac.at/portal/en/publications/construction-of-nbody-initial-data-sets-in-general-relativity(4f54fd82-5ee7-4cd9-860c-0f2fbd616492).html