Finite action principle for Chern-Simons AdS gravity

Mora P.; Olea, R; Troncoso R.; Zanelli, J

Abstract

A finite action principle for Chern-Simons AdS gravity is presented. The construction is carried out in detail first in five dimensions, where the bulk action is given by a particular combination of the Einstein-Hilbert action with negative cosmological constant and a Gauss-Bonnet term; and is then generalized for arbitrary odd dimensions. The boundary term needed to render the action finite is singled out demanding the action to attain an extremum for an appropriate set of boundary conditions. The boundary term is a local function of the fields at the boundary and is sufficient to render the action finite for asymptotically AdS solutions, without requiring background fields. It is shown that the Euclidean continuation of the action correctly describes black hole thermodynamics in the canonical ensemble. Additionally, background independent conserved charges associated with the asymptotic symmetries can be written as surface integrals by direct application of Noether's theorem. © SISSA/ISAS 2004.

Más información

Título según WOS: Finite action principle for Chern-Simons AdS gravity
Título según SCOPUS: Finite action principle for Chern-Simons AdS gravity
Título de la Revista: JOURNAL OF HIGH ENERGY PHYSICS
Volumen: 8
Número: 6
Editorial: Springer
Fecha de publicación: 2004
Página de inicio: 849
Página final: 867
Idioma: English
Notas: ISI, SCOPUS