Extensions and fill-ins with non-negative scalar curvature

DOI10.1088/0264-9381/30/19/195007zbMath1277.83036arXiv1304.0721OpenAlexW3102205069MaRDI QIDQ2861849

Luen-Fai Tam, Pengzi Miao, Jeffrey L. Jauregui

Publication date: 11 November 2013

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

Full work available at URL: https://arxiv.org/abs/1304.0721

zbMATH Keywords

positive mass theoremgeneral relativityBrown-York massquasi-local mass problem

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)

Related Items (8)

Total mean curvature of the boundary and nonnegative scalar curvature fill-ins ⋮ NNSC-cobordism of Bartnik data in high dimensions ⋮ Metrics with \(\lambda_1(-\Delta + k R) \ge 0\) and flexibility in the Riemannian Penrose inequality ⋮ Analysis, geometry and topology of positive scalar curvature metrics. Abstracts from the workshop held June 27 -- July 3, 2021 (hybrid meeting) ⋮ On the NNSC fill-ins and asymptotically flat extension ⋮ On the fill-in of nonnegative scalar curvature metrics ⋮ Static vacuum Einstein metrics on bounded domains ⋮ Nonexistence of NNSC fill-ins with large mean curvature

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