학술논문
Characteristic Gluing with $\Lambda$ 1. Linearised Einstein equations on four-dimensional spacetimes
Document Type
Working Paper
Author
Source
Beijing J. of Pure and Appl. Math., Volume 1, Number 2, 689-796, 2024
Subject
Language
Abstract
We establish a gluing theorem for linearised vacuum gravitational fields in Bondi gauge on a class of characteristic surfaces in static vacuum four-dimensional backgrounds with cosmological constant $\Lambda \in \mathbb{R}$ and arbitrary topology of the compact cross-sections of the null hypersurface. This generalises and complements, in the linearised case, the pioneering analysis of Aretakis, Czimek and Rodnianski, carried-out on light-cones in Minkowski spacetime.
Comment: v3: Minor rewordings. Reformatting to match journal version
Comment: v3: Minor rewordings. Reformatting to match journal version