Penrose Inequality for Asymptotically AdS Spaces
arXiv:1106.2683 · doi:10.1016/j.physletb.2012.01.007
Abstract
In general relativity, the Penrose inequality relates the mass and the entropy associated with a gravitational background. If the inequality is violated by an initial Cauchy data, it suggests a creation of a naked singularity, thus providing means to consider the cosmic censorship hypothesis. We propose a general form of Penrose inequality for asymptotically locally AdS spaces.
4 pages, Latex, ref. added
References in corpus (4)
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Cited by in corpus (6)
- On the Penrose inequality in anti-deSitter space
- A Holographic Argument for the Penrose Inequality in AdS
- The Penrose Inequality as a Constraint on the Low Energy Limit of Quantum Gravity
- Holography Abhors Visible Trapped Surfaces
- Outer entropy = Bartnik-Bray inner mass, and the gravitational ant conjecture
- On Penrose inequality in holography