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 |
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ASJC Scopus subject areas
- Nuclear and High Energy Physics
- Physics and Astronomy (miscellaneous)
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Vacuum energy in Kerr-AdS black holes. / Olavarria, Gonzalo; Olea, Rodrigo.
En: Physical Review D - Particles, Fields, Gravitation and Cosmology, Vol. 89, N.º 2, 026001, 09.01.2014.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 -