Covariant Galileon

C. Deffayet, G. Esposito-Farèse, and A. Vikman
Phys. Rev. D 79, 084003 – Published 3 April 2009

Abstract

We consider the recently introduced “Galileon” field in a dynamical spacetime. When the Galileon is assumed to be minimally coupled to the metric, we underline that both field equations of the Galileon and the metric involve up to third-order derivatives. We show that a unique nonminimal coupling of the Galileon to curvature eliminates all higher derivatives in all field equations, hence yielding second-order equations, without any extra propagating degree of freedom. The resulting theory breaks the generalized “Galilean” invariance of the original model.

  • Received 14 January 2009

DOI:https://doi.org/10.1103/PhysRevD.79.084003

©2009 American Physical Society

Authors & Affiliations

C. Deffayet*

  • AstroParticule & Cosmologie, UMR 7164-CNRS, Université Denis Diderot-Paris 7, CEA, Observatoire de Paris, 10 rue Alice Domon et Léonie Duquet, F-75205 Paris Cedex 13, France

G. Esposito-Farèse

  • GReCO, Institut d’Astrophysique de Paris, UMR 7095-CNRS, Université Pierre et Marie Curie-Paris 6, 98bis boulevard Arago, F-75014 Paris, France

A. Vikman

  • CCPP, New York University, Meyer Hall of Physics, 4 Washington Place, New York, New York 10003, USA

  • *deffayet@iap.fr
  • gef@iap.fr
  • alexander.vikman@nyu.edu

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Issue

Vol. 79, Iss. 8 — 15 April 2009

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