On Carlotto-Schoen-type scalar-curvature gluings

DOI10.24033/bsmf.2840zbMath1492.53050arXiv1611.00893OpenAlexW2548877473MaRDI QIDQ5072076

Erwann Delay, Piotr T. Chrusciel

Publication date: 25 April 2022

Published in: Bulletin de la Société mathématique de France (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1611.00893

zbMATH Keywords

scalar curvaturegluingasymptotically Euclidean

Mathematics Subject Classification ID

Partial differential equations on manifolds; differential operators (58J99) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21) Higher-order elliptic equations (35J30)

Cites Work

• Localizing solutions of the Einstein constraint equations
• Localized gluing of Riemannian metrics in interpolating their scalar curvature
• Manifold structures for sets of solutions of the general relativistic constraint equations
• Phase space for the Einstein equations
• Exotic hyperbolic gluings
• Sobolev spaces on Riemannian manifolds
• The asymptotics of stationary electro-vacuum metrics in odd spacetime dimensions
• Killing vectors in asymptotically flat space-times. II. Asymptotically translational Killing vectors and the rigid positive energy theorem in higher dimensions
• The mass of an asymptotically flat manifold
• On mapping properties of the general relativistic constraints operator in weighted function spaces, with applications
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