TY - JOUR

T1 - On boundary conditions in three-dimensional AdS gravity

AU - Mišković, Olivera

AU - Olea, Rodrigo

N1 - Funding Information:
We wish to thank M. Bañados and S. Theisen for helpful discussions. This work was partially funded by the grants 3030029 and 3040026 from FONDECYT (Chile) and by Fundaçao para a Ciência e Tecnologia (FCT) of the Ministry of Science, Portugal, through project POCTI/FNU/44648/2002. O.M. is also supported by PUCV through the program Investigador Joven 2006.

PY - 2006/9/7

Y1 - 2006/9/7

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=33747415473&partnerID=8YFLogxK

U2 - 10.1016/j.physletb.2006.07.045

DO - 10.1016/j.physletb.2006.07.045

M3 - Article

AN - SCOPUS:33747415473

SN - 0370-2693

VL - 640

SP - 101

EP - 107

JO - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

JF - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

IS - 3

ER -