Conserved charges for gravity with locally anti-de sitter asymptotics

Rodrigo Aros, Mauricio Contreras, Rodrigo Olea, Ricardo Troncoso, Jorge Zanelli

Research output: Contribution to journalArticlepeer-review

131 Citations (Scopus)


A new formula for the conserved charges in 3+1 gravity for spacetimes with local anti-de Sitter 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 Λ = 0 limit.

Original languageEnglish
Pages (from-to)1647-1650
Number of pages4
JournalPhysical Review Letters
Issue number8
Publication statusPublished - 2000

ASJC Scopus subject areas

  • Physics and Astronomy(all)


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