Perturbations in einstein's gravity theory: conserved currents

General relativity in the form where gravitational perturbations together with other physical fields propagate against an auxiliary background has been considered. In an arbitrarily curved space—time, new conserved currents, i. е., divergences of skew-symmetric tensor densities (superpotentials) have been constructed with the use of the Katz—Bicak—Lynden-Bell technique.