Covariant Galileon

@inproceedings{Deffayet2009CovariantG,
  title={Covariant Galileon},
  author={Cedric Deffayet and Gilles Esposito-Far{\`e}se and Alexander Vikman},
  year={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… 

No-hair theorem for the Galileon.

TLDR
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