A Gibbons-Penrose inequality for surfaces in Schwarzschild spacetime

DOI10.1007/s00220-014-1972-6zbMath1306.83001arXiv1303.1863OpenAlexW2029659979MaRDI QIDQ2509617

Simon Brendle, Mu-Tao Wang

Publication date: 29 July 2014

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

Full work available at URL: https://arxiv.org/abs/1303.1863

zbMATH Keywords

Schwarzschild spacetimegeneral relativityGibbons-Penrose inequalityspacelike 2-surfaces

Mathematics Subject Classification ID

Black holes (83C57) Applications of differential geometry to physics (53Z05) Research exposition (monographs, survey articles) pertaining to relativity and gravitational theory (83-02) Space-time singularities, cosmic censorship, etc. (83C75) Exact solutions to problems in general relativity and gravitational theory (83C15)

Related Items (11)

Inverse anisotropic mean curvature flow and a Minkowski type inequality ⋮ Large isoperimetric regions in asymptotically hyperbolic manifolds ⋮ A Minkowski Inequality for Hypersurfaces in the Anti‐de Sitter‐Schwarzschild Manifold ⋮ A toy Penrose inequality and its proof ⋮ Geometric inequalities for static convex domains in hyperbolic space ⋮ On the index of a free-boundary minimal surface in Riemannian Schwarzschild-AdS ⋮ Geometric inequalities involving three quantities in warped product manifolds ⋮ Heintze–Karcher and Jellett‐type theorems in conformally flat spaces ⋮ Geometry of normal graphs in Euclidean space and applications to the Penrose inequality in Minkowski ⋮ Inverse mean curvature flows in the hyperbolic 3-space revisited ⋮ Quasi-round MOTSs and stability of the Schwarzschild null Penrose inequality

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• More on Penrose's quasi-local mass
• The hoop conjecture and the Gibbons-Penrose construction of trapped surfaces
• Collapsing shells and the isoperimetric inequality for black holes

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