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://ucrisportal.univie.ac.at/en/publications/gluing-variations(25b703a9-6549-4a2d-a4d3-313bf00c51d0).html