On the motion of rotating bodies in field gravity theory and general relativity

摘要

On the basis of Lagrangian formalism of relativistic field theorypost-Newtonian equations of motion for a rotating body are derived in the frameof Feynman's quantum field gravity theory (FGT) and compared with correspondinggeodesic equations in general relativity (GR). It is shown that in FGT thetrajectory of a rotating test body does not depend on a choice of a coordinatesystem. The equation of translational motion of a gyroscope is applied todescription of laboratory experiments with free falling rotating bodies androtating bodies on a balance scale. Post-Newtonian relativistic effect ofperiodical modulation of the orbital motion of a rotating body is discussed forthe case of planets of the solar system and for binary pulsars PSR B1913+16 andPSR B1259-63. In the case of binary pulsars with known spin orientations thiseffect gives a possibility to measure radiuses of neutron stars.