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 original | English |
|---|---|
| Número de artículo | 069 |
| Publicación | Journal of High Energy Physics |
| Volumen | 2007 |
| N.º | 11 |
| DOI | |
| Estado | Published - 1 nov 2007 |
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ASJC Scopus subject areas
- Nuclear and High Energy Physics
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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
TY - JOUR
T1 - Universal regularization prescription for Lovelock AdS gravity
AU - Kofinas, Georgios
AU - Olea, Rodrigo
PY - 2007/11/1
Y1 - 2007/11/1
N2 - 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.
AB - 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.
KW - AdS-CFT correspondence
KW - Black holes in string theory
KW - Classical theories of gravity
UR - http://www.scopus.com/inward/record.url?scp=36849055159&partnerID=8YFLogxK
U2 - 10.1088/1126-6708/2007/11/069
DO - 10.1088/1126-6708/2007/11/069
M3 - Article
AN - SCOPUS:36849055159
VL - 2007
JO - Journal of High Energy Physics
JF - Journal of High Energy Physics
SN - 1126-6708
IS - 11
M1 - 069
ER -