Equality in the spacetime positive mass theorem

DOI10.1007/s00220-019-03619-wzbMath1440.53078arXiv1706.03732OpenAlexW2986722835WikidataQ126768039 ScholiaQ126768039MaRDI QIDQ2187298

Dan A. Lee, Lan-Hsuan Huang

Publication date: 2 June 2020

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1706.03732

zbMATH Keywords

dominant energy conditionmass of an asymptotically flat manifoldpositive mass inequalityRegge-Teitelboim Hamiltonian

Mathematics Subject Classification ID

Unified, higher-dimensional and super field theories (83E99) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21)

Related Items (12)

The general relativistic constraint equations ⋮ Scalar curvature deformation and mass rigidity for ALH manifolds with boundary ⋮ Mass rigidity for hyperbolic manifolds ⋮ Density and positive mass theorems for initial data sets with boundary ⋮ Analysis, geometry and topology of positive scalar curvature metrics. Abstracts from the workshop held June 27 -- July 3, 2021 (hybrid meeting) ⋮ Mathematical aspects of general relativity. Abstracts from the workshop held August 29 -- September 4, 2021 (hybrid meeting) ⋮ Stability of the spacetime positive mass theorem in spherical symmetry ⋮ Initial data rigidity results ⋮ Localized deformation for initial data sets with the dominant energy condition ⋮ The Jang equation and the positive mass theorem in the asymptotically hyperbolic setting ⋮ Spacetime harmonic functions and the mass of 3-dimensional asymptotically flat initial data for the Einstein equations ⋮ The case of equality for the spacetime positive mass theorem

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