Motion of a test body in Taub space

Abstract

We examine the motion of a test body in a static Taub space. It is shown that in the case of a fall to a gravitating plane, the test body on approach cannot have velocity greater than the velocity of light, measured by the clock of a “distant” observer or in its proper reference frame. The greater the velocity of a body receding from the plane, the greater the height to which it rises over the gravitating plane, however, the maximal height of its rise equals x=1/κ, i.e., the weaker the gravitational field, the greater the height ¦x¦ to which the body rises. We give a qualitative analysis of the arbitrary motion of a test body in a static Taub space.