Positive mass and Penrose type inequalities for asymptotically hyperbolic hypersurfaces

DOI10.1007/s10714-015-1870-zzbMath1317.83007arXiv1201.4991OpenAlexW2017937659MaRDI QIDQ2356324

Levi Lopes de Lima, Frederico Girão

Publication date: 29 July 2015

Published in: General Relativity and Gravitation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1201.4991

zbMATH Keywords

Penrose inequalitypositive mass conjectureasymptotically hyperbolic hypersurfaces

Mathematics Subject Classification ID

Black holes (83C57) Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05) Applications of global differential geometry to the sciences (53C80) Gravitational energy and conservation laws; groups of motions (83C40) Space-time singularities, cosmic censorship, etc. (83C75) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21)

Related Items (13)

An Alexandrov-Fenchel-type inequality in hyperbolic space with an application to a Penrose inequality ⋮ Penrose type inequalities for asymptotically hyperbolic graphs ⋮ Gauss-Bonnet-Chern mass and Alexandrov-Fenchel inequality ⋮ On the limiting behavior of the Brown-York quasi-local mass in asymptotically hyperbolic manifolds ⋮ On inverse mean curvature flow in Schwarzschild space and Kottler space ⋮ A Penrose type inequality for graphs over Reissner-Nordström-anti-deSitter manifold ⋮ A new mass for asymptotically flat manifolds ⋮ The GBC mass for asymptotically hyperbolic manifolds ⋮ A Penrose inequality for graphs over Kottler space ⋮ Penrose inequalities and a positive mass theorem for charged black holes in higher dimensions ⋮ The equality case of the Penrose inequality for asymptotically flat graphs ⋮ On perturbations of the Schwarzschild anti-de Sitter spaces of positive mass ⋮ The ADM mass of asymptotically flat hypersurfaces

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