Asymptotically hyperbolic extensions and an analogue of the Bartnik mass

DOI10.1016/j.geomphys.2018.06.010zbMath1396.53057arXiv1802.03331OpenAlexW2787467925WikidataQ129587030 ScholiaQ129587030MaRDI QIDQ1664023

Stephen McCormick, Carla Cederbaum, Armando J. Cabrera Pacheco

Publication date: 24 August 2018

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1802.03331

zbMATH Keywords

asymptotically hyperbolic manifoldsquasi-local massbounded scalar curvature

Mathematics Subject Classification ID

Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50) Global Riemannian geometry, including pinching (53C20)

Related Items (7)

The general relativistic constraint equations ⋮ Scalar curvature deformation and mass rigidity for ALH manifolds with boundary ⋮ A survey on extensions of Riemannian manifolds and Bartnik mass estimates ⋮ Singular metrics with negative scalar curvature ⋮ Constructing electrically charged Riemannian manifolds with minimal boundary, prescribed asymptotics, and controlled mass ⋮ Staticity of asymptotically hyperbolic minimal mass extensions ⋮ Gluing Bartnik extensions, continuity of the Bartnik mass, and the equivalence of definitions

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