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Conserved Charges for Even Dimensional Asymptotically AdS Gravity Theories

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arxiv hep-th/9912045 v2 pith:6MKTVEME submitted 1999-12-07 hep-th gr-qc

Rodrigo Aros , Mauricio Contreras , Rodrigo Olea , Ricardo Troncoso , Jorge Zanelli This is my paper · ORCID
classification hep-thgr-qc
keywords chargesconservedlocallyboundaryconstantgravitynoethersolutions
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abstract

Mass and other conserved Noether charges are discussed for solutions of gravity theories with locally Anti-de Sitter asymptotics in 2n dimensions. The action is supplemented with a boundary term whose purpose is to guarantee that it reaches an extremum on the classical solutions, provided the spacetime is locally AdS at the boundary. It is also shown that if spacetime is locally AdS at spatial infinity, the conserved charges are finite and properly normalized without requiring subtraction of a reference background. In this approach, Noether charges associated to Lorentz and diffeomorphism invariance vanish identically for constant curvature spacetimes. The case of zero cosmological constant is obtained as a limit of AdS, where $\Lambda $ plays the role of a regulator.

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Cited by 3 Pith papers

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