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.

4 pages. Accepted

References in corpus (2)

• Present status of the Penrose inequality
• A Toy Penrose Inequality and its Proof

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