Pacific Journal of Mathematics · 2007 · 28 citations · 17 references
Natural SciencesMathematicsPhysicsGeometryRelativityCurved SpacetimeGeneral RelativityMetric GeometryRiemannian GeometrySpacetime GeometrySpecial RelativityAnti-de Sitter SpaceAnti-de Sitter SpacetimeDe Sitter SpaceDe Sitter SpacetimeReissner-nordström SolutionSchwarzschild Geometry
We obtain the isoperimetric profile for the standard initial slices in the Reissner-Nordstrom and Schwarzschild anti-de Sitter spacetimes, following recent work of Bray and Morgan on isoperimetric comparison.We then discuss these results in the context of Bray's isoperimetric approach to the Penrose inequality.
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The Mass of Asymptotically Hyperbolic Manifolds
Xiaodong Wang · Journal of Differential Geometry · 2001 · 214 citations · Full text