Asymptotically anti de Sitter spacetimes in three dimensions

Details Asymptotically anti de Sitter spacetimes in three dimensions Asymptotically anti de Sitter spacetimes in three dimensions

2011-11-14

arxiv.org/abs/1111.3327v1

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

To be published in the proceedings of the XII Marcel Grossmann meeting held in Paris in July 2009

Scientific paper

We revisit the asymptotically Anti de Sitter spacetimes in three dimensions. Using the conformal-completion technique, we formulate the boundary conditions in a covariant fashion and construct the global charges associated with the asymptotic symmetries. The charges so constructed are conserved for the asymptotic Killing vectors fields but are not conserved for the asymptotic conformal Killing vector fields. The quantity integrated to obtain the global charge is interpreted as the Brown-York boundary stress-energy tensor and it is found not to be traceless. The trace is interpreted as the trace anomaly and it turns out to be the same as the Brown-Henneaux central charge.

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