Given a smooth globally hyperbolic $(3+ 1) $-dimensional spacetime satisfying the Einstein
vacuum equations (possibly with cosmological constant) and an inextendible timelike …

We consider asymptotically Euclidean, initial data sets for Einstein's field equations and
solve the localization problem at infinity, also called gluing problem. We achieve optimal …

Abstract To construct asymptotically-Euclidean Einstein's initial data sets, we introduce the
localized seed-to-solution method, which projects from approximate to exact solutions of the …

Initial data for the Einstein equations must satisfy a system of nonlinear partial differential
equations, the Einstein constraint equations. Constructing interesting solutions of the …

To construct asymptotically-Euclidean Einstein's initial data sets, we introduce the localized
seed-to-solution method, which projects from approximate to exact solutions of the Einstein …

On Yvonne Page 1 Comptes Rendus Mécanique Piotr T. Chrusciel On Yvonne Volume 353
(2025), p. 411-414 Online since: 13 February 2025 https://doi.org/10.5802/crmeca.272 This …