Uniqueness and energy bounds for static AdS metrics
arXiv:1910.00070 · doi:10.1103/PhysRevD.101.064034
Abstract
We show that Wang's proof of uniqueness of Anti-de Sitter spacetime can be adapted to provide uniqueness results for strictly static asymptotically locally hyperbolic vacuum metrics with toroidal infinity, and to prove negativity of the free energy of asymptotically AdS black holes with higher-genus horizons.
References in corpus (18)
- Topological Black Holes in Anti-de Sitter Space
- Rigidity and Positivity of Mass for Asymptotically Hyperbolic Manifolds
- Towards the classification of static vacuum spacetimes with negative cosmological constant
- Some Comments on Gravitational Entropy and the Inverse Mean Curvature Flow
- The area of horizons and the trapped region
- The Higher Dimensional Positive Mass Theorem II
- Mass rigidity for hyperbolic manifolds
- On the mass of static metrics with positive cosmological constant - I
- Bounded Area Theorems for Higher Genus Black Holes
- Computing asymptotic invariants with the Ricci tensor on asymptotically flat and hyperbolic manifolds
- The hyperbolic positive energy theorem
- Positive Scalar Curvature and Minimal Hypersurface Singularities
- Rigidity of outermost MOTS - the initial data version
- On the mass aspect function and positive energy theorems for asymptotically hyperbolic manifolds
- On static three-manifolds with positive scalar curvature
- Energy in higher-dimensional spacetimes
- Null Geodesics and Wave Front Singularities in the Godel Space-time
- A new energy upper bound for AdS black holes inspired by free field theory