Positive mass theorems for asymptotically hyperbolic Riemannian manifolds with boundary

DOI10.1088/1361-6382/ac1fd1zbMath1480.83040arXiv2107.05603OpenAlexW3195494388WikidataQ113824859 ScholiaQ113824859MaRDI QIDQ5012618

Gregory J. Galloway, Piotr T. Chrusciel

Publication date: 25 November 2021

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

Full work available at URL: https://arxiv.org/abs/2107.05603

zbMATH Keywords

positive energy theoremgeometry of the Cauchy problemmass of asymptotically AdS manifolds

Mathematics Subject Classification ID

Hyperbolic and elliptic geometries (general) and generalizations (51M10) Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05) Gravitational energy and conservation laws; groups of motions (83C40) Asymptotic procedures (radiation, news functions, (mathcal{H} )-spaces, etc.) in general relativity and gravitational theory (83C30) Exact solutions to problems in general relativity and gravitational theory (83C15)

Related Items (5)

Scalar curvature deformation and mass rigidity for ALH manifolds with boundary ⋮ Rigidity and non-rigidity of \(\mathbb{H}^n/\mathbb{Z}^{n-2}\) with scalar curvature bounded from below ⋮ Analysis, geometry and topology of positive scalar curvature metrics. Abstracts from the workshop held June 27 -- July 3, 2021 (hybrid meeting) ⋮ General bounds on holographic complexity ⋮ The positive energy theorem for asymptotically hyperboloidal initial data sets with toroidal infinity and related rigidity results

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• Rigidity and positivity of mass for asymptotically hyperbolic manifolds
• Towards the classification of static vacuum spacetimes with negative cosmological constant
• On the mass aspect function and positive energy theorems for asymptotically hyperbolic manifolds

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