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arXiv · 2212.10052

Characteristic Gluing with $\Lambda$ 1. Linearised Einstein equations on four-dimensional spacetimes

Piotr T. Chruściel·Wan Cong
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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.

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Piotr T. Chruściel, Wan Cong. 2022-12-20. Characteristic Gluing with $\Lambda$ 1. Linearised Einstein equations on four-dimensional spacetimes. https://arxiv.org/abs/2212.10052

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