Exact theory of the (Einstein) gravitational field in an arbitrary background space-time

@article{Grishchuk1984ExactTO,
  title={Exact theory of the (Einstein) gravitational field in an arbitrary background space-time},
  author={Leonid P. Grishchuk and A. N. Petrov and Alla D. Popova},
  journal={Communications in Mathematical Physics},
  year={1984},
  volume={94},
  pages={379-396}
}
The Lagrangian based theory of the gravitational field and its sources at the arbitrary background space-time is developed. The equations of motion and the energy-momentum tensor of the gravitational field are derived by applying the variational principle. The gauge symmetries of the theory and the associated conservation laws are investigated. Some properties of the energymomentum tensor of the gravitational field are described in detail and the examples of its application are given. The… 
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