Conserved charges for even dimensional asymptotically AdS gravity theories

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

Research output: Contribution to journalArticlepeer-review

94 Citations (Scopus)


Mass and other conserved Noether charges are discussed for solutions of gravity theories with locally anti-de Sitter (AdS) 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 space-time is locally AdS space-time at the boundary. It is also shown that if space-time 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 with Lorentz and diffeomorphism invariance vanish identically for constant curvature space-times. The case of a zero cosmological constant is obtained as a limit of AdS space-time, where Λ plays the role of a regulator.

Original languageEnglish
Article number044002
Pages (from-to)1-7
Number of pages7
JournalPhysical Review D - Particles, Fields, Gravitation and Cosmology
Issue number4
Publication statusPublished - 15 Aug 2000

ASJC Scopus subject areas

  • Nuclear and High Energy Physics


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