The mass of spacelike hypersurfaces in asymptotically anti-de Sitter space-times

Abstract

We give a Hamiltonian definition of mass for spacelike hypersurfaces in space-times with metrics which are asymptotic to the anti-de Sitter one, or to a class of generalizations thereof. We show that our definition provides a geometric invariant for a spacelike hypersurface embedded in a space-time.

arXiv comment49 pages, Latex2e with several style files; minor misprints corrected here and there

References in corpus (5)

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• A General Definition of "Conserved Quantities" in General Relativity and Other Theories of Gravity
• The AdS/CFT Correspondence and a New Positive Energy Conjecture for General Relativity
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Cited by in corpus (4)

• Einstein black holes, free scalars and AdS/CFT correspondence
• Dihedral rigidity of parabolic polyhedrons in hyperbolic spaces
• Positive mass theorems for asymptotically hyperbolic Riemannian manifolds with boundary
• Hyperbolic positive energy theorems