### 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 | English |
---|---|

Número de artículo | 026001 |

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

Volumen | 89 |

N.º | 2 |

DOI | |

Estado | Published - 9 ene 2014 |

### Huella dactilar

### ASJC Scopus subject areas

- Nuclear and High Energy Physics
- Physics and Astronomy (miscellaneous)

### Citar esto

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

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

}

*Physical Review D - Particles, Fields, Gravitation and Cosmology*, vol. 89, n.º 2, 026001. https://doi.org/10.1103/PhysRevD.89.026001

**Vacuum energy in Kerr-AdS black holes.** / Olavarria, Gonzalo; Olea, Rodrigo.

Resultado de la investigación: Article

TY - JOUR

T1 - Vacuum energy in Kerr-AdS black holes

AU - Olavarria, Gonzalo

AU - Olea, Rodrigo

PY - 2014/1/9

Y1 - 2014/1/9

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=84894513668&partnerID=8YFLogxK

U2 - 10.1103/PhysRevD.89.026001

DO - 10.1103/PhysRevD.89.026001

M3 - Article

VL - 89

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

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

SN - 1550-7998

IS - 2

M1 - 026001

ER -