Asymptotically flat extensions of CMC Bartnik data

DOI10.1088/1361-6382/aa6921zbMath1369.83019arXiv1612.05241OpenAlexW2591590429MaRDI QIDQ5350366

Stephen McCormick, Carla Cederbaum, Armando J. Cabrera Pacheco, Pengzi Miao

Publication date: 31 August 2017

Published in: Classical and Quantum Gravity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1612.05241

zbMATH Keywords

scalar curvatureconstant mean curvature surfacesBartnik massHawking mass

Mathematics Subject Classification ID

Applications of differential geometry to physics (53Z05) Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05) Gravitational energy and conservation laws; groups of motions (83C40) Approximation procedures, weak fields in general relativity and gravitational theory (83C25)

Related Items (12)

The general relativistic constraint equations ⋮ Asymptotically hyperbolic extensions and an analogue of the Bartnik mass ⋮ A survey on extensions of Riemannian manifolds and Bartnik mass estimates ⋮ NNSC-cobordism of Bartnik data in high dimensions ⋮ Some rigidity results for the Hawking mass and a lower bound for the Bartnik capacity ⋮ Gluing variations ⋮ On the NNSC fill-ins and asymptotically flat extension ⋮ The Bartnik-Bray outer mass of small metric spheres in time-symmetric 3-slices ⋮ 4-Dimensional manifolds with nonnegative scalar curvature and CMC boundary ⋮ Smoothing the Bartnik boundary conditions and other results on Bartnik's quasi-local mass ⋮ On the charged Riemannian Penrose inequality with charged matter ⋮ Gluing Bartnik extensions, continuity of the Bartnik mass, and the equivalence of definitions

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