Covariant Galileon

  title={Covariant Galileon},
  author={Cedric Deffayet and Gilles Esposito-Far{\`e}se and Alexander Vikman},
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… 

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