### 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 | Inglés |
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Número de artículo | 069 |

Publicación | Journal of High Energy Physics |

Volumen | 2007 |

N.º | 11 |

DOI | |

Estado | Publicada - 1 nov 2007 |

### Áreas temáticas de ASJC Scopus

- Física nuclear y de alta energía

## Huella Profundice en los temas de investigación de 'Universal regularization prescription for Lovelock AdS gravity'. En conjunto forman una huella única.

## Citar esto

*Journal of High Energy Physics*,

*2007*(11), [069]. https://doi.org/10.1088/1126-6708/2007/11/069