Phys. Rev. D 62, 044002 (2000) [7 pages]Conserved charges for even dimensional asymptotically AdS gravity theoriesReceived 7 December 1999; published 12 July 2000 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 URL:
http://link.aps.org/doi/10.1103/PhysRevD.62.044002
DOI:
10.1103/PhysRevD.62.044002
PACS:
04.50.+h
|
|
About | Terms and Conditions | Subscriptions | Search | Help
Use of the American Physical Society websites and journals implies that the user has read and agrees to our Terms and Conditions and any applicable Subscription Agreement. Physical Review®, Physical Review Letters®, Reviews of Modern Physics®, and Physical Review Special Topics® are trademarks of the American Physical Society.