Energy complex in the general theory of relativity

In the tetradic formulation of the theory of gravitation an energy complex is proposed which makes it possible to calculate unambiguously the energy enclosed in any volume, in any co-ordinate mesh, with an arbitrary orientation of local, Cartesian, three-dimensional frames. In deriving the complex the analogy between the tetradic equations of the gravitational field and the covariant form of the equations of electrodynamics is exploited. As an example, a number of exact solutions of the Einstein equations are considered.Translated from Izvestiya Vysshikh Uchebnykh Zavedenii Fizika, No. 10, pp. 57–62, October, 1971.