Covariant concept of gravitational energy

The covariant approach is proposed for the energy description of matter integrated with gravitation. The approach is based on the generalization of the special relativity stress-energy tensor up to the fourth tensor rank which introduces the anisotropies of mass, impulse, and their fluxes. The components describing anisotropies form an ''energy deviator'' which is a traceless fourth-rank tensor corresponding to Weyl's part of gravitation