On the relation of Thomas rotation and angular velocity of reference frames

摘要: In the extensive literature dealing with relativistic phenomenon of Thomas rotation several methods have been developed for calculating angle a gyroscope along circular world line. One most appealing concepts, introduced in Rindler and Perlick (Gen Rel Grav 22:1067, 1990), is to consider rotating reference frame co-moving gyroscope, relate precession angular velocity frame. A recent paper (Herrera di Prisco Found Phys Lett 15:373, 2002), however, applies this principle three different frames arrives at angles. The reason apparent paradox that 1990) used situation which it does not apply. we rigorously examine theoretical background limitations applicability 1990). Along way also establish some general properties frames, may be independent interest.