Slowly rotating body in the scalar-tensor theory of gravitation

The problem of slow rotation of relativistic bodies in the scalar-tensor theory of gravitation is solved. An equation describing the rotation, its external solution, and the expression for the angular momentum and moment of inertia are obtained in first order with respect to the angular velocity.Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 5, pp. 22–26, May, 1981.In conclusion, the author is deeply grateful to V. A. Filimonov for valuable suggestions and remarks.