Initial data for the relativistic gravitational N-body problem
- Author(s)
- Piotr T. Chrusciel, Justin Corvino, James Isenberg
- Abstract
In 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.
- Organisation(s)
- Gravitational Physics
- External organisation(s)
- Lafayette College, University of Oregon
- Journal
- Classical and Quantum Gravity
- Volume
- 27
- No. of pages
- 6
- ISSN
- 0264-9381
- DOI
- https://doi.org/10.1088/0264-9381/27/22/222002
- Publication date
- 2010
- Peer reviewed
- Yes
- Austrian Fields of Science 2012
- 1030 Physics, Astronomy
- Portal url
- https://ucrisportal.univie.ac.at/en/publications/2b573064-cd21-43ad-9fba-989a7ed6e9f2