Finite action principle for Chern-Simons AdS gravity

Pablo Mora, Rodrigo Olea, Ricardo Troncoso, Jorge Zanelli

Resultado de la investigación: Article

47 Citas (Scopus)

Resumen

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.

Idioma originalEnglish
Páginas (desde-hasta)849-867
Número de páginas19
PublicaciónJournal of High Energy Physics
Volumen8
N.º6
EstadoPublished - 1 jun 2004

Huella dactilar

gravitation
range (extremes)
theorems
boundary conditions
thermodynamics
symmetry

ASJC Scopus subject areas

  • Nuclear and High Energy Physics

Citar esto

Mora, P., Olea, R., Troncoso, R., & Zanelli, J. (2004). Finite action principle for Chern-Simons AdS gravity. Journal of High Energy Physics, 8(6), 849-867.
Mora, Pablo ; Olea, Rodrigo ; Troncoso, Ricardo ; Zanelli, Jorge. / Finite action principle for Chern-Simons AdS gravity. En: Journal of High Energy Physics. 2004 ; Vol. 8, N.º 6. pp. 849-867.
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Mora, P, Olea, R, Troncoso, R & Zanelli, J 2004, 'Finite action principle for Chern-Simons AdS gravity', Journal of High Energy Physics, vol. 8, n.º 6, pp. 849-867.

Finite action principle for Chern-Simons AdS gravity. / Mora, Pablo; Olea, Rodrigo; Troncoso, Ricardo; Zanelli, Jorge.

En: Journal of High Energy Physics, Vol. 8, N.º 6, 01.06.2004, p. 849-867.

Resultado de la investigación: Article

TY - JOUR

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AB - 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.

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