Characteristic Gluing with $\Lambda$: III. High-differentiability nonlinear gluing

Abstract

We prove a nonlinear characteristic $C^k$-gluing theorem for vacuum gravitational fields in Bondi gauge for a class of characteristic hypersurfaces near static vacuum $n$-dimensional backgrounds, $n\ge 3$, with any finite $k$, with cosmological constant $\Lambda \in \mathbb{R}$, near Birmingham-Kottler backgrounds. This generalises the $C^2$-gluing of Aretakis, Czimek and Rodnianski, carried-out near light cones in four-dimensional Minkowski spacetime.

arXiv comment37 pages, 2 figures

References in corpus (6)

• Rotation and the AdS/CFT correspondence
• Rotating Black Holes in Higher Dimensions with a Cosmological Constant
• Bondi-Sachs Formalism
• Rotating Topological Black Holes
• Rotating Black Branes wrapped on Einstein Spaces
• Gluing variations