Gluing variations
- Author(s)
- Piotr T. Chruściel, Wan Cong
- Abstract
We establish several results on gluing/embedding/extending geometric structures in vacuum spacetimes with a cosmological constant in any spacetime dimensions d ⩾ 4 , with emphasis on characteristic data. A useful tool is provided by the notion of submanifold-data of order k. As an application of our methods we prove that vacuum Cauchy data on a spacelike Cauchy surface with boundary can always be extended to vacuum data defined beyond the boundary.
- Organisation(s)
- Gravitational Physics
- Journal
- Classical and Quantum Gravity
- Volume
- 40
- No. of pages
- 36
- ISSN
- 0264-9381
- DOI
- https://doi.org/10.48550/arXiv.2302.06928
- Publication date
- 08-2023
- Peer reviewed
- Yes
- Austrian Fields of Science 2012
- 103028 Theory of relativity, 103019 Mathematical physics
- Keywords
- ASJC Scopus subject areas
- Physics and Astronomy (miscellaneous)
- Portal url
- https://ucris.univie.ac.at/portal/en/publications/gluing-variations(25b703a9-6549-4a2d-a4d3-313bf00c51d0).html