Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2006-03-11
Phys.Lett.B640:101-107,2006
Physics
High Energy Physics
High Energy Physics - Theory
12 pages; a reference added
Scientific paper
10.1016/j.physletb.2006.07.045
A finite action principle for three-dimensional gravity with negative cosmological constant, based on a boundary condition for the asymptotic extrinsic curvature, is considered. The bulk action appears naturally supplemented by a boundary term that is one half the Gibbons-Hawking term, that makes the Euclidean action and the Noether charges finite without additional Dirichlet counterterms. The consistency of this boundary condition with the Dirichlet problem in AdS gravity and the Chern-Simons formulation in three dimensions, and its suitability for the higher odd-dimensional case, are also discussed.
Miskovic Olivera
Olea Rodrigo
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