Conserved Charges for Gravity with Locally Anti–de Sitter Asymptotics

Rodrigo Aros, Mauricio Contreras, Rodrigo Olea, Ricardo Troncoso, and Jorge Zanelli
Phys. Rev. Lett. 84, 1647 – Published 21 February 2000
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Abstract

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.

  • Received 7 September 1999

DOI:https://doi.org/10.1103/PhysRevLett.84.1647

©2000 American Physical Society

Authors & Affiliations

Rodrigo Aros1,4, Mauricio Contreras1,4, Rodrigo Olea1,3, Ricardo Troncoso1,2, and Jorge Zanelli1,2

  • 1Centro de Estudios Científicos de Santiago, Casilla 16443, Santiago 9, Chile
  • 2Departamento de Física, Universidad de Santiago de Chile, Casilla 307, Santiago 2, Chile
  • 3Departamento de Física, FCFM, Universidad de Chile, Casilla 487-3, Santiago, Chile
  • 4Universidad Nacional Andrés Bello, Sazie 2320, Santiago, Chile

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Vol. 84, Iss. 8 — 21 February 2000

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