Examinando por Autor "Zanelli, J."

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    Conserved charges for even dimensional asymptotically AdS gravity theories
    (American Physical Society, 2000-08) Aros, R.; Contreras, M.; Olea, R.; Troncoso, R.; Zanelli, J.
    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. ©2000 The American Physical Society.
  • Miniatura
    Ítem
    Conserved Charges for Gravity with Locally Anti–de Sitter Asymptotics
    (American Physical Society, 2000-02) Aros, R; Contreras, M.; Olea, R.; Troncoso, R.; Zanelli, J.
    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.