Construction of Higher-Order Metric Fluctuation Terms in Spacetime Symmetry-Breaking Effective Field Theory

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