  Backgrounds are pervasive in almost every application of general relativity.
Here we consider the Lagrangian formulation of general relativity for large
perturbations with respect to a curved background spacetime. We show that
Noether's theorem combined with Belinfante's "symmetrization" method applied to
the group of displacements provide a conserved vector, a "superpotential" and a
energy-momentum that are independent of any divergence added to the Hilbert
Lagrangian of the perturbations. The energy-momentum is symmetrical and
divergenceless only on backgrounds that are Einstein spaces in the sense of
A.Z.Petrov.

General Relativity and Quantum Cosmology