Abstract

Radial motion of a small point mass in the gravitational field of a large point mass is investigated for the law of gravitationR 44 =0. When geodesic equations are expressed in terms of components of acceleration, it is found that the normally “attractive force” of gravitation gradually weakens as the large mass is approached, and becomes “repulsive” inside a critical nonsingular radius close to the origin of coordinates. A particle requires an infinite time to reach the origin, regardless of its initial distance. Gravitational collapse, or at least violent collapse, is thus precluded