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On boundary conditions in three-dimensional AdS gravity

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arxiv hep-th/0603092 v3 pith:OXBRQ5NV submitted 2006-03-11 hep-th gr-qc

classification hep-thgr-qc
keywords boundaryactiongravityconditiondirichletfinitetermthree-dimensional
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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.

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  1. Gauge Symmetries, Exact Symmetries and Conserved Charges in Minimal Massive Gravity

    hep-th 2025-07 conditional novelty 6.0 of 10

    Minimal Massive Gravity has three gauge symmetries, and a newly constructed transformation generates exact symmetries and a conserved charge in a restricted parameter limit.

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