### Resumen

We compute the vacuum energy for Kerr black holes with anti-de Sitter (AdS) asymptotics in dimensions 5≤D≤9 with all rotation parameters. The calculations are carried out employing an alternative regularization scheme for asymptotically AdS gravity, which considers supplementing the bulk action with counterterms which are a given polynomial in the extrinsic and intrinsic curvatures of the boundary (also known as Kounterterms). The Kerr-Schild form of the rotating solutions enables us to identify the vacuum energy as coming from the part of the metric that corresponds to a global AdS spacetime written in oblate spheroidal coordinates. We find that the zero-point energy for higher-dimensional Kerr-AdS reduces to one of a Schwarzschild-AdS black hole when all the rotation parameters are equal to each other, a fact that is well known in five dimensions. We also sketch a compact expression for the vacuum energy formula in terms of asymptotic quantities that might be useful to extend the computations to higher odd dimensions.

Idioma original | Inglés |
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Número de artículo | 026001 |

Publicación | Physical Review D - Particles, Fields, Gravitation and Cosmology |

Volumen | 89 |

N.º | 2 |

DOI | |

Estado | Publicada - 9 ene 2014 |

### Áreas temáticas de ASJC Scopus

- Física nuclear y de alta energía
- Física y astronomía (miscelánea)

## Huella Profundice en los temas de investigación de 'Vacuum energy in Kerr-AdS black holes'. En conjunto forman una huella única.

## Citar esto

*Physical Review D - Particles, Fields, Gravitation and Cosmology*,

*89*(2), [026001]. https://doi.org/10.1103/PhysRevD.89.026001