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Conserved charges for gravity with locally AdS asymptotics

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arxiv gr-qc/9909015 v2 pith:DRE7Q26V submitted 1999-09-04 gr-qc hep-th

Rodrigo Aros , Mauricio Contreras , Rodrigo Olea , Ricardo Troncoso , Jorge Zanelli This is my paper · ORCID
classification gr-qchep-th
keywords chargesactionasymptoticconservedconstantgravitynoetherrequiring
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A new formula for the conserved charges in 3+1 gravity for spacetimes with local AdS asymptotic geometry is proposed. It is shown that requiring the action to have an extremum for this class of asymptotia sets the boundary term that must be added to the Lagrangian as the Euler density with a fixed weight factor. The resulting action gives rise to the mass and angular momentum as Noether charges associated to the asymptotic Killing vectors without requiring specification of a reference background in order to have a convergent expression. A consequence of this definition is that any negative constant curvature spacetime has vanishing Noether charges. These results remain valid in the limit of vanishing cosmological constant.

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Cited by 5 Pith papers

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