Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1999-12-07
Phys.Rev. D62 (2000) 044002
Physics
High Energy Physics
High Energy Physics - Theory
8 pages, RevTeX, no figures, two columns, references added and minor typos corrected, final version for Phys. Rev. D
Scientific paper
10.1103/PhysRevD.62.044002
Mass and other conserved Noether charges are discussed for solutions of gravity theories with locally Anti-de Sitter 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 spacetime is locally AdS at the boundary. It is also shown that if spacetime 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 to Lorentz and diffeomorphism invariance vanish identically for constant curvature spacetimes. The case of zero cosmological constant is obtained as a limit of AdS, where $\Lambda $ plays the role of a regulator.
Aros Rodrigo
Contreras Mauricio
Olea Rodrigo
Troncoso Ricardo
Zanelli Jorge
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