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

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

2001-10-02

arxiv.org/abs/gr-qc/0110014v2

Adv.Theor.Math.Phys. 5 (2002) 697-754

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

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

Scientific paper

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.

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