Equations of motion of test bodies in a spherically symmetric, static gravitational field

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Equations Of Motion, Gravitation Theory, Particle Motion, Solar Gravitation, Light Transmission, Metric Space, Perihelions, Solar System

Scientific paper

A class of theories of gravity in which the motion of test particles is governed by the path equation is considered. For a spherically symmetric, static gravitational field, the path equation is characterized by three arbitrary functions of the gravitational field. Solar system experiments on perihelion shifts and light deflection indicate that there are essentially only two constraints on the three functions, so the equation of motion must be supplemented by other physical laws in order to obtain a value for the third arbitrary function. Under certain circumstances this third condition is sufficient to prove that the theories under investigation reduce to their 'metric' form.

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