  We examine the basic conservation laws for diffeomorphism symmetry in the
context of spontaneous diffeomorphism and local Lorentz-symmetry breaking. The
conservation laws are used as constraints on a generic series of terms in an
expansion around a flat background. We find all such terms for a two-tensor
coupling to cubic order in the metric and tensor field fluctuations. The
results are presented in a form that can be used for phenomenological
calculations. One key result is that if we preserve the underlying
diffeomorphism symmetry in a spontaneous-symmetry breaking scenario, one cannot
decouple the two-tensor fluctuations from the metric fluctuations at the level
of the action, except in special cases of the quadratic actions.
