Spacetime harmonic functions and the mass of 3-dimensional asymptotically flat initial data for the Einstein equations

DOI10.4310/jdg/1669998184OpenAlexW3005218816MaRDI QIDQ2103549

Demetre Kazaras, Marcus A. Khuri, Sven Hirsch

Publication date: 14 December 2022

Published in: Journal of Differential Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2002.01534

zbMATH Keywords

Einstein equationsdominant energy conditionconstraint equationsinitial dataADM massADM energy-momentumspacetime harmonic functions

Mathematics Subject Classification ID

Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05) Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50) Differential geometric aspects of harmonic maps (53C43) Einstein equations (35Q76)

Related Items (5)

Hyperbolic mass via horospheres ⋮ Unified treatment of null and spatial infinity. IV: Angular momentum at null and spatial infinity ⋮ A Green's function proof of the positive mass theorem ⋮ Analysis, geometry and topology of positive scalar curvature metrics. Abstracts from the workshop held June 27 -- July 3, 2021 (hybrid meeting) ⋮ Spherically symmetric counter examples to the Penrose inequality and the positive mass theorem under the assumption of the weak energy condition

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