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2016-06-21 - Article/Dans un journal avec peer-review - Anglais - 21 page(s)

Basile Thomas, Bekaert Xavier, Boulanger Nicolas , "Note about a pure spin-connection formulation of general relativity and spin-2 duality in (A)dS" in Physical Review. D, Particles, Fields, Gravitation, and Cosmology, Phys. Rev. D 93, 124047 (2016)

  • Edition : American Physical Society, College Park (MD)
  • Codes CREF : Physique théorique et mathématique (DI1210), Mécanique quantique classique et relativiste (DI1211), Gravitation (DI1216), Théorie quantique des champs (DI1215)
  • Unités de recherche UMONS : Physique théorique et mathématique (S814), Mécanique et gravitation (S884S)
  • Instituts UMONS : Institut de Recherche sur les Systèmes Complexes (Complexys)
  • Centres UMONS : Algèbre, Géométrie et Interactions fondamentales (AGIF)
Texte intégral :

Abstract(s) :

(Anglais) We investigate the problem of finding a pure spin-connection formulation of General Relativity with non-vanishing cosmological constant. We first revisit the problem at the linearised level and find that the pure spin-connection, quadratic Lagrangian, takes a form reminiscent to Weyl gravity, given by the square of a Weyl-like tensor. Upon Hodge dualisation, we show that the dual gauge field in (A)dS_D transforms under GL(D) in the same representation as a massive graviton in the flat spacetime of the same dimension. We give a detailed proof that the physical degrees of freedom indeed correspond to a massless graviton propagating around the (anti-) de Sitter background and finally speculate about a possible nonlinear pure-connection theory dual to General Relativity with cosmological constant.

Identifiants :
  • arXiv : 1512.09060
  • DOI : 10.1103/PhysRevD.93.124047