Abstract
In the Brans-Dicke (BD) theory, wormhole existence is determined in the Jordan representation. The Einstein representation correctly describes the geodesic motion of a test black hole that responds to the tensor mass ${m}_{T}$ of a bounded gravitational system. The central body's active mass m as calculated in the Jordan frame determines the change in time of the area of a bundle of light rays and the motion of a test particle in Keplerian orbit. In the Jordan representation, strong-field BD wormhole solutions can exist and the energy density and the radial and lateral tensions are negative at the wormhole throat. However, the Einstein representation minimally coupled scalar field energy condition eliminates wormhole solutions within the BD weak-field approximation, C=-1/(\ensuremath{\omega}+2).
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