The mass of asymptotically anti-de Sitter space-times
Piotr T. Chrusciel, Gabriel Nagy
TL;DR
This paper introduces a geometric definition of mass for spacelike hypersurfaces in asymptotically anti-de Sitter space-times, establishing it as a global invariant with potential applications in gravitational physics.
Contribution
It provides a new geometric invariant-based definition of mass for asymptotically anti-de Sitter space-times, extending previous concepts and including additional global invariants.
Findings
The mass definition is a geometric invariant.
The definition applies to hypersurfaces asymptotic to anti-de Sitter space.
Additional global invariants are identified.
Abstract
We give a 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 present the results of gr-qc/0110014 which show that our definition provides a geometric invariant for a spacelike hypersurface embedded in a space-time. Some further global invariants are also given.
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