### Resumen

A finite action principle for Einstein-Gauss-Bonnet anti-de Sitter gravity is achieved by supplementing the bulk Lagrangian by a suitable boundary term, whose form substantially differs in odd and even dimensions. For even dimensions, this term is given by the boundary contribution in the Euler theorem with a coupling constant fixed, demanding the spacetime to have constant (negative) curvature in the asymptotic region. For odd dimensions, the action is stationary under a boundary condition on the variation of the extrinsic curvature. A well-posed variational principle leads to an appropriate definition of energy and other conserved quantities using the Noether theorem, and to a correct description of black hole thermodynamics. In particular, this procedure assigns a nonzero energy to anti-de Sitter spacetime in all odd dimensions.

Idioma original | English |
---|---|

Número de artículo | 084035 |

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

Volumen | 74 |

N.º | 8 |

DOI | |

Estado | Published - 7 nov 2006 |

### Huella dactilar

### ASJC Scopus subject areas

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

### Citar esto

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*Physical Review D - Particles, Fields, Gravitation and Cosmology*, vol. 74, n.º 8, 084035. https://doi.org/10.1103/PhysRevD.74.084035

**Vacuum energy in Einstein-Gauss-Bonnet anti-de Sitter gravity.** / Kofinas, Georgios; Olea, Rodrigo.

Resultado de la investigación: Article

TY - JOUR

T1 - Vacuum energy in Einstein-Gauss-Bonnet anti-de Sitter gravity

AU - Kofinas, Georgios

AU - Olea, Rodrigo

PY - 2006/11/7

Y1 - 2006/11/7

N2 - A finite action principle for Einstein-Gauss-Bonnet anti-de Sitter gravity is achieved by supplementing the bulk Lagrangian by a suitable boundary term, whose form substantially differs in odd and even dimensions. For even dimensions, this term is given by the boundary contribution in the Euler theorem with a coupling constant fixed, demanding the spacetime to have constant (negative) curvature in the asymptotic region. For odd dimensions, the action is stationary under a boundary condition on the variation of the extrinsic curvature. A well-posed variational principle leads to an appropriate definition of energy and other conserved quantities using the Noether theorem, and to a correct description of black hole thermodynamics. In particular, this procedure assigns a nonzero energy to anti-de Sitter spacetime in all odd dimensions.

AB - A finite action principle for Einstein-Gauss-Bonnet anti-de Sitter gravity is achieved by supplementing the bulk Lagrangian by a suitable boundary term, whose form substantially differs in odd and even dimensions. For even dimensions, this term is given by the boundary contribution in the Euler theorem with a coupling constant fixed, demanding the spacetime to have constant (negative) curvature in the asymptotic region. For odd dimensions, the action is stationary under a boundary condition on the variation of the extrinsic curvature. A well-posed variational principle leads to an appropriate definition of energy and other conserved quantities using the Noether theorem, and to a correct description of black hole thermodynamics. In particular, this procedure assigns a nonzero energy to anti-de Sitter spacetime in all odd dimensions.

UR - http://www.scopus.com/inward/record.url?scp=33750505856&partnerID=8YFLogxK

U2 - 10.1103/PhysRevD.74.084035

DO - 10.1103/PhysRevD.74.084035

M3 - Article

VL - 74

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

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

SN - 1550-7998

IS - 8

M1 - 084035

ER -