English

Covariant Galileon

High Energy Physics - Theory 2009-10-07 v2 Cosmology and Nongalactic Astrophysics General Relativity and Quantum Cosmology

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.

Keywords

Cite

@article{arxiv.0901.1314,
  title  = {Covariant Galileon},
  author = {C. Deffayet and G. Esposito-Farese and A. Vikman},
  journal= {arXiv preprint arXiv:0901.1314},
  year   = {2009}
}

Comments

10 pages, no figure, RevTeX4 format; v2 adds footnote 1, Ref. [12], reformats the link in Ref. [14], and corrects very minor typos

R2 v1 2026-06-21T11:59:16.161Z