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