CONFORMAL-INVARIANCE AND SCALAR GRAVITY

The expression for a (Lorentz-invariant) scalar gravitational potential φ{symbol} is found in this paper, starting with the conformally invariant Einstein's equations. Even if the φ{symbol}-stress tensor vanishes, we consider it a measurable quantity, especially in microphysics. In addition, φ{symbol} if vanishing when h→0. The equation of motion of a point test particle subjected to the field φ{symbol} is computed, giving a vanishing velocity and acceleration far from the light-cone. © 1990 Società Italiana di Fisica.