On the mass of static metrics with positive cosmological constant: I

DOI10.1088/1361-6382/aac081zbMath1391.83037arXiv1710.10990OpenAlexW2766691939WikidataQ129908147 ScholiaQ129908147MaRDI QIDQ3177424

Lorenzo Mazzieri, Stefano Borghini

Publication date: 25 July 2018

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

Full work available at URL: https://arxiv.org/abs/1710.10990

zbMATH Keywords

positive mass theoremstatic metricsde Sitter solutionanti-de Sitter solution

Mathematics Subject Classification ID

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 (16)

The general relativistic constraint equations ⋮ 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 the $1/H$-flow by $p$-Laplace approximation: new estimates via fake distances under Ricci lower bounds ⋮ Geometry of static perfect fluid space-time ⋮ A local rigidity theorem for minimal two-spheres in charged time-symmetric initial data set ⋮ On static manifolds satisfying an overdetermined Robin type condition on the boundary ⋮ Geometric aspects of \(p\)-capacitary potentials ⋮ 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 ⋮ Monotonicity formulas in potential theory ⋮ On the mass of static metrics with positive cosmological constant: II. ⋮ The anisotropic \(p\)-capacity and the anisotropic Minkowski inequality

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