Characteristic Gluing with $$\Lambda $$: III. High-Differentiability Nonlinear Gluing
Abstract
Abstract We prove a nonlinear characteristic $$C^k$$ C k -gluing theorem for vacuum gravitational fields in Bondi gauge for a class of characteristic hypersurfaces near static vacuum n -dimensional backgrounds, $$n\ge 3$$ n ≥ 3 , with any finite k , with cosmological constant $$ \Lambda \in \mathbb {R}$$ Λ ∈ R , near Birmingham-Kottler backgrounds. This generalises the $$C^2$$ C 2 -gluing of Aretakis, Czimek and Rodnianski, carried-out near light cones in four-dimensional Minkowski spacetime.
Fields of Study & Subjects
Nonlinear Waves and Solitons
Advanced Mathematical Physics Problems
Numerical methods for differential equations
Publication details
- Journal / source
- Communications in Mathematical Physics
- Publisher
- Springer Science and Business Media LLC
- Volume
- 407
- Issue
- 2
- Publication date
- 12 January 2026
- Language
- EN