3 papers
gr-qc2024
Ti and Spi, Carrollian extended boundaries at timelike and spatial infinity
Jack Borthwick, Maël Chantreau, Yannick Herfray
The goal of this paper is to provide a definition for a notion of extended boundary at time and space-like infinity which, following Figueroa-O'Farril--Have--Prohazka--Salzer, we r…
math.DG2024
Projective and Carrollian geometry at time/space-like infinity on projectively compact Ricci flat Einstein manifolds
Jack Borthwick, Yannick Herfray
In this article we discuss how to construct canonical \emph{strong} Carrollian geometries at time/space like infinity of projectively compact Ricci flat Einstein manifolds …
math.DG2023
Asymptotic symmetries of projectively compact order one Einstein manifolds
Jack Borthwick, Yannick Herfray
We show that the boundary of a projectively compact Einstein manifold of dimension can be extended by a line bundle naturally constructed from the projective compactification.…