On the mass of static metrics with positive cosmological constant: II.

DOI10.1007/s00220-020-03739-8zbMath1443.83019arXiv1711.07024OpenAlexW3103452817MaRDI QIDQ779644

Lorenzo Mazzieri, Stefano Borghini

Publication date: 14 July 2020

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

Full work available at URL: https://arxiv.org/abs/1711.07024

zbMATH Keywords

positive mass theoremstatic metricsde Sitter solutionuniqueness result for the Schwarzschild-de Sitter spacetime

Mathematics Subject Classification ID

Black holes (83C57) Applications of differential geometry to physics (53Z05) Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05) Gravitational energy and conservation laws; groups of motions (83C40)

Related Items (9)

Static Black Hole Uniqueness for nonpositive masses ⋮ Geometric inequalities for critical metrics of the volume functional ⋮ Geometry of compact quasi-Einstein manifolds with boundary ⋮ On static manifolds satisfying an overdetermined Robin type condition on the boundary ⋮ On the uniqueness of Schwarzschild-de Sitter spacetime ⋮ Symmetry results for Serrin-type problems in doubly connected domains ⋮ A Green's function proof of the positive mass theorem ⋮ Sharp geometric inequalities for closed hypersurfaces in manifolds with nonnegative Ricci curvature ⋮ The anisotropic \(p\)-capacity and the anisotropic Minkowski inequality

Cites Work

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• A note on static spaces and related problems
• Riemannian aspects of potential theory
• Sur la géométrie d'une généralisation de l'équation différentielle d'Obata
• A simple proof of the generalization of Israel's theorem
• Distance to \(C^k\) hypersurfaces
• A differential equation arising from scalar curvature function
• On the uniqueness of static perfect-fluid solutions in general relativity
• On the proof of the positive mass conjecture in general relativity
• Stability of gravity with a cosmological constant
• The inverse mean curvature flow and the Riemannian Penrose inequality
• A new proof of the positive energy theorem.
• Proof of the Riemannian Penrose inequality using the positive mass theorem.
• On static three-manifolds with positive scalar curvature
• Remarks on critical metrics of the scalar curvature and volume functionals on compact manifolds with boundary
• Nonexistence of multiple black holes in asymptotically Euclidean static vacuum space-time
• Positive mass theorems for asymptotically de Sitter spacetimes
• Monotonicity formulas for static metrics with non-zero cosmological constant
• Uniqueness of the de Sitter spacetime among static vacua with positive cosmological constant
• Monotonicity formulas in potential theory
• On the geometry of the level sets of bounded static potentials
• Brown-York mass and positive scalar curvature. II: Besse's conjecture and related problems
• The Penrose inequality for asymptotically locally hyperbolic spaces with nonpositive mass
• Towards the classification of static vacuum spacetimes with negative cosmological constant
• DE SITTER MUSINGS
• On the mass of static metrics with positive cosmological constant: I
• Non-compact cohomogeneity one Einstein manifolds
• A positive energy theorem for asymptotically de Sitter spacetimes
• Asymptotics with a positive cosmological constant: I. Basic framework
• On the analyticity of static vacuum solutions of Einstein's equations

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