The Hamiltonian mass of asymptotically anti-de Sitter space-times

We give a Hamiltonian definition of mass for spacelike hypersurfaces in spacetimes with metrics which are asymptotic to the anti-de Sitter one, or to a class of generalizations thereof. We present the results of another paper (Chrusciel P T and Nagy G 2001b, in preparation) which show that our definition provides a geometric invariant for a spacelike hypersurface S embedded in a space-time (M, g). Some further global invariants are also given.