Abstract
A four-dimensional quasi-Riemannian theory of gravity, with local SO(3) invariance, is used as a simple model to describe gravity under the hypothesis of broken Lorentz gauge symmetry, and to show that in this case the sign of the force between two masses may depend on their relative distance. Considering in particular the field of a static, central macroscopic source, we find however that the gravitational interaction experienced by a macroscopic test body may become repulsive only immediately close to the Schwarzschild surface.
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