Gravitational field of a concentrated mass in Jordan—Brans—Dicke theory

The problem of determining the gravitational field of a static, spherically symmetric, self-gravitating object is formulated. The small number of physically applicable exact solutions of the equations in Jordan—Brans—Dicke theory is augmented with new exact solutions describing the external gravitational field of the given body. Once a solution has been found, it can be rewritten in modified curvature, homogeneous, and other coordinates by appropriate gauging. In a special case the solution coincides with the well-known Schwarzschild solution.Translated from Astrofizika, Vol. 37, No. 2, pp. 339–350, April–June, 1994.The authors are grateful to members of seminars convened by the Theoretical Physics Department of Erevan State University and the Space, Time, and Gravitation LTF of the Joint Institute for Nuclear Research for discussions.This work has received partial support from a Meyer Foundation Grant awarded by the American Physical Society.