Universal regularization prescription for Lovelock AdS gravity

Georgios Kofinas, Rodrigo Olea

Resultado de la investigación: Article

58 Citas (Scopus)

Resumen

A definite form for the boundary term that produces the finiteness of both the conserved quantities and Euclidean action for any Lovelock gravity with AdS asymptotics is presented. This prescription merely tells even from odd bulk dimensions, regardless the particular theory considered, what is valid even for Einstein-Hilbert and Einstein-Gauss-Bonnet AdS gravity. The boundary term is a given polynomial of the boundary extrinsic and intrinsic curvatures (also referred to as Kounterterms series). Only the coupling constant of the boundary term changes accordingly, such that it always preserves a well-posed variational principle for boundary conditions suitable for asymptotically AdS spaces. The background-independent conserved charges associated to asymptotic symmetries are found. In odd bulk dimensions, this regularization produces a generalized formula for the vacuum energy in Lovelock AdS gravity. The standard entropy for asymptotically AdS black holes is recovered directly from the regularization of the Euclidean action, and not only from the first law of thermodynamics associated to the conserved quantities.

Idioma originalEnglish
Número de artículo069
PublicaciónJournal of High Energy Physics
Volumen2007
N.º11
DOI
EstadoPublished - 1 nov 2007

Huella dactilar

gravitation
variational principles
polynomials
curvature
entropy
boundary conditions
thermodynamics
vacuum
symmetry
energy

ASJC Scopus subject areas

  • Nuclear and High Energy Physics

Citar esto

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Universal regularization prescription for Lovelock AdS gravity. / Kofinas, Georgios; Olea, Rodrigo.

En: Journal of High Energy Physics, Vol. 2007, N.º 11, 069, 01.11.2007.

Resultado de la investigación: Article

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AU - Olea, Rodrigo

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