On the Bartnik extension problem for the static vacuum Einstein equations

DOI10.1088/0264-9381/30/12/125005zbMath1271.83013arXiv0909.4550OpenAlexW1994772612MaRDI QIDQ2841461

Michael T. Anderson, Marcus A. Khuri

Publication date: 25 July 2013

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

Full work available at URL: https://arxiv.org/abs/0909.4550

zbMATH Keywords

quasi-local massBartnik extensionstatic vacuum Einstein

Mathematics Subject Classification ID

Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05) Gravitational energy and conservation laws; groups of motions (83C40) Exact solutions to problems in general relativity and gravitational theory (83C15) Approximation procedures, weak fields in general relativity and gravitational theory (83C25)

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New asymptotically flat static vacuum metrics with near Euclidean boundary data ⋮ Scalar curvature deformation and mass rigidity for ALH manifolds with boundary ⋮ An extension procedure for the constraint equations ⋮ Embeddings, immersions and the Bartnik quasi-local mass conjectures ⋮ Analysis, geometry and topology of positive scalar curvature metrics. Abstracts from the workshop held June 27 -- July 3, 2021 (hybrid meeting) ⋮ The Bartnik-Bray outer mass of small metric spheres in time-symmetric 3-slices ⋮ A quasi-local Penrose inequality for the quasi-local energy with static references ⋮ Static vacuum Einstein metrics on bounded domains ⋮ On the Bartnik conjecture for the static vacuum Einstein equations ⋮ Elliptic boundary value problems for the stationary vacuum spacetimes ⋮ Ellipticity of Bartnik boundary data for stationary vacuum spacetimes ⋮ The Hilbert manifold of asymptotically flat metric extensions ⋮ Local existence and uniqueness for exterior static vacuum Einstein metrics

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