On perturbations of the Schwarzschild anti-de Sitter spaces of positive mass

DOI10.1007/s00220-015-2360-6zbMath1317.53096arXiv1402.4317OpenAlexW3105682457WikidataQ125776220 ScholiaQ125776220MaRDI QIDQ2346836

Lucas Ambrozio

Publication date: 4 June 2015

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

Full work available at URL: https://arxiv.org/abs/1402.4317

zbMATH Keywords

Penrose inequalityHawking massconstant mean curvature spheresweakly stable

Mathematics Subject Classification ID

Applications of global differential geometry to the sciences (53C80) Classes of solutions; algebraically special solutions, metrics with symmetries for problems in general relativity and gravitational theory (83C20) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50)

Related Items (8)

The general relativistic constraint equations ⋮ Large isoperimetric regions in asymptotically hyperbolic manifolds ⋮ On the limiting behavior of the Brown-York quasi-local mass in asymptotically hyperbolic manifolds ⋮ Asymptotically hyperbolic extensions and an analogue of the Bartnik mass ⋮ A survey on extensions of Riemannian manifolds and Bartnik mass estimates ⋮ Constructing electrically charged Riemannian manifolds with minimal boundary, prescribed asymptotics, and controlled mass ⋮ Deforming the scalar curvature of the de Sitter-Schwarzschild space ⋮ Asymptotically hyperbolic Einstein constraint equations with apparent horizon boundary and the Penrose inequality for perturbations of Schwarzschild-AdS ^*

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