On the uniqueness of the ADS spacetime

DOI10.1007/s10114-004-0489-xzbMath1082.53040OpenAlexW2044927731MaRDI QIDQ2581224

Xiaodong Wang

Publication date: 9 January 2006

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-004-0489-x

zbMATH Keywords

positive mass theoremstatic vacuumasymptotically hyperbolic manifoldADS space-time

Mathematics Subject Classification ID

Applications of global analysis to the sciences (58Z05) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50) Rigidity results (53C24)

Related Items (17)

Scalar curvature deformation and mass rigidity for ALH manifolds with boundary ⋮ Static Black Hole Uniqueness for nonpositive masses ⋮ On the mass of static metrics with positive cosmological constant: I ⋮ On static Poincaré-Einstein metrics ⋮ Mass rigidity for hyperbolic manifolds ⋮ Holographic characterisation of locally anti-de Sitter spacetimes ⋮ Supersymmetric asymptotically locally AdS\(_5\) gravitational solitons ⋮ Static flow on complete noncompact manifolds. I: Short-time existence and asymptotic expansions at conformal infinity ⋮ Phase transitions and stability of Eguchi-Hanson-AdS solitons ⋮ On the uniqueness of Schwarzschild-de Sitter spacetime ⋮ Static potentials on asymptotically hyperbolic manifolds ⋮ Evolution equation of the Gauss curvature under hypersurface flows and its applications ⋮ Unnamed Item ⋮ Brendle's inequality on static manifolds ⋮ Supersymmetric rigidity of asymptotically locally hyperbolic manifolds ⋮ Uniqueness of the de Sitter spacetime among static vacua with positive cosmological constant ⋮ The Penrose inequality for asymptotically locally hyperbolic spaces with nonpositive mass

Cites Work

• Unnamed Item
• On conformally compact Einstein manifolds.
• The mass of asymptotically hyperbolic manifolds.
• Nonexistence of multiple black holes in asymptotically Euclidean static vacuum space-time
• The mass of asymptotically hyperbolic Riemannian manifolds.
• Towards the classification of static vacuum spacetimes with negative cosmological constant
• Uniqueness of a static charged dilaton black hole
• Uniqueness proof of static charged black holes revisited

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