Characteristic Gluing with Λ: III. High-Differentiability Nonlinear Gluing
- Author(s)
- Piotr T. Chruściel, Wan Cong, Finnian Gray
- Abstract
We prove a nonlinear characteristic Ck-gluing theorem for vacuum gravitational fields in Bondi gauge for a class of characteristic hypersurfaces near static vacuum n-dimensional backgrounds, n≥3, with any finite k, with cosmological constant Λ∈R, near Birmingham-Kottler backgrounds. This generalises the C2-gluing of Aretakis, Czimek and Rodnianski, carried-out near light cones in four-dimensional Minkowski spacetime.
- Organisation(s)
- Gravitational Physics
- External organisation(s)
- Beijing Institute for Mathematical Sciences and Applications
- Journal
- Communications in Mathematical Physics
- Volume
- 407
- No. of pages
- 37
- ISSN
- 0010-3616
- DOI
- https://doi.org/10.48550/arXiv.2407.03903
- Publication date
- 02-2026
- Peer reviewed
- Yes
- Austrian Fields of Science 2012
- 103028 Theory of relativity, 103019 Mathematical physics, 101006 Differential geometry
- ASJC Scopus subject areas
- Statistical and Nonlinear Physics, Mathematical Physics
- Portal url
- https://ucrisportal.univie.ac.at/en/publications/2a0c1fbd-27db-4eff-9df8-d5dcf911b716