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

Georgios Kofinas, Rodrigo Olea

Resultado de la investigación: Article

61 Citas (Scopus)

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 originalEnglish
Número de artículo084035
PublicaciónPhysical Review D - Particles, Fields, Gravitation and Cosmology
Volumen74
N.º8
DOI
EstadoPublished - 7 nov 2006

Huella dactilar

gravitation
vacuum
theorems
curvature
energy
variational principles
boundary conditions
thermodynamics

ASJC Scopus subject areas

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

Citar esto

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

En: Physical Review D - Particles, Fields, Gravitation and Cosmology, Vol. 74, N.º 8, 084035, 07.11.2006.

Resultado de la investigación: Article

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