We construct simple Lagrangians of vector fields which involve second derivatives but nevertheless lead to second-order field equations. These vector fields are, therefore, analogs of generalized Galileons. Our construction is given first in Minkowski space and then generalized to include dynamical gravity. We show that the speed of gravitational waves about homogeneous and isotropic backgrounds is equal to the speed of light. We present examples of backgrounds that are stable and ghost free despite the absence of gauge invariance. Some of these backgrounds violate the null energy condition.
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