From conformal to Einstein gravity

Giorgos Anastasiou, Rodrigo Olea

Resultado de la investigación: Article

18 Citas (Scopus)

Resumen

We provide a simple derivation of the equivalence between Einstein and conformal gravity (CG) with Neumann boundary conditions given by Maldacena. As Einstein spacetimes are Bach flat, a generic solution to CG would contain both Einstein and non-Einstein parts. Using this decomposition of the spacetime curvature in the Weyl tensor makes manifest the equivalence between the two theories, both at the level of the action and the variation of it. As a consequence, we show that the on-shell action for critical gravity in four dimensions is given uniquely in terms of the Bach tensor.

Idioma originalEnglish
Número de artículo086008
PublicaciónPhysical Review D
Volumen94
N.º8
DOI
EstadoPublished - 26 oct 2016

Huella dactilar

gravitation
equivalence
tensors
derivation
curvature
boundary conditions
decomposition

ASJC Scopus subject areas

  • Physics and Astronomy (miscellaneous)

Citar esto

Anastasiou, Giorgos ; Olea, Rodrigo. / From conformal to Einstein gravity. En: Physical Review D. 2016 ; Vol. 94, N.º 8.
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From conformal to Einstein gravity. / Anastasiou, Giorgos; Olea, Rodrigo.

En: Physical Review D, Vol. 94, N.º 8, 086008, 26.10.2016.

Resultado de la investigación: Article

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AB - We provide a simple derivation of the equivalence between Einstein and conformal gravity (CG) with Neumann boundary conditions given by Maldacena. As Einstein spacetimes are Bach flat, a generic solution to CG would contain both Einstein and non-Einstein parts. Using this decomposition of the spacetime curvature in the Weyl tensor makes manifest the equivalence between the two theories, both at the level of the action and the variation of it. As a consequence, we show that the on-shell action for critical gravity in four dimensions is given uniquely in terms of the Bach tensor.

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