Phys. Rev. D 79, 084003 (2009) [6 pages]Covariant GalileonReceived 14 January 2009; published 3 April 2009 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. © 2009 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevD.79.084003
DOI:
10.1103/PhysRevD.79.084003
PACS:
04.50.−h, 11.10.−z, 98.80.−k
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