On the Penrose inequality in anti-deSitter space

Abstract

For asymptotically flat spacetimes the Penrose inequality gives an initial data test for the weak cosmic censorship hypothesis. We give a formulation of this inequality for asymptotically anti-deSitter (AAdS) spacetimes, and show that the inequality holds for time asymmetric data in spherical symmetry. Our analysis is motivated by the constant-negative-spatial-curvature form of the AdS black hole metric.

arXiv comment4 pages. Accepted

References in corpus (10)

• A Stress Tensor for Anti-de Sitter Gravity
• Asymptotically Anti-de Sitter Space-times: Conserved Quantities
• Present status of the Penrose inequality
• Violating weak cosmic censorship in AdS${}_4$
• Some Comments on Gravitational Entropy and the Inverse Mean Curvature Flow
• On the Penrose Inequality for general horizons
• Flat foliations of spherically symmetric geometries
• Penrose Inequality for Asymptotically AdS Spaces
• Bounds on the local energy density of holographic CFTs from bulk geometry
• A Toy Penrose Inequality and its Proof

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