Asymptotically Anti-de Sitter spacetimes and their stress energy tensor

Details Asymptotically Anti-de Sitter spacetimes and their stress energy tensor Asymptotically Anti-de Sitter spacetimes and their stress energy tensor

2000-10-17

arxiv.org/abs/hep-th/0010138v1

Int.J.Mod.Phys. A16 (2001) 740-749

Physics

High Energy Physics

High Energy Physics - Theory

10 pages, to appear in the proceedings of Strings 2000

Scientific paper

We consider asymtotically anti-de Sitter spacetimes in general dimensions. We review the origin of infrared divergences in the on-shell gravitational action, and the construction of the renormalized on-shell action by the addition of boundary counterterms. In odd dimensions, the renormalized on-shell action is not invariant under bulk diffeomorphisms that yield conformal transformations in the boundary (holographic Weyl anomaly). We obtain formulae for the gravitational stress energy tensor, defined as the metric variation of the renormalized on-shell action, in terms of coefficients in the asymptotic expansion of the metric near infinity. The stress energy tensor transforms anomalously under bulk diffeomorphisms broken by infrared divergences.

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