Dynamics of a gravitational field. I

A dynamic theory of a gravitational field is constructed by analogy with electromagnetic field theory in a two-dimensional space. The main point of this paper is the determination in Einstein spaces of the analogs of inertial and quasiinertial frames of reference in twodimensional space. The possibility is discussed of interpreting the velocity field of the basis of such frames of reference as potentials of the gravitational field. This then permits a dynamic theory of the gravitational field (field equations, energy characteristics) to be constructed in Maxwellian form.Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 5, pp. 97–103, May, 1973.In conclusion, I take this opportunity of expressing thanks to Professor V. I. Rodichev for constant attention to the work.