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arxiv: 0901.1314 · v2 · submitted 2009-01-09 · ✦ hep-th · astro-ph.CO· gr-qc

Covariant Galileon

C. Deffayet , G. Esposito-Farese , A. Vikman This is my paper
classification ✦ hep-th astro-ph.COgr-qc
keywords galileonequationsfieldderivativesmetricassumedbreaksconsider
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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.

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