, Volume 179, Issue 2, pp 275-283

The spherically-symmetrical trajectories of spin particles in the Schwarzschild field

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Abstract

The motion of spin particles in the Schwarzschild field is examined in this paper. It is shown that Mathisson-Papapetrou equations under additional conditions \(\mathop L\limits_j {\text{ }}S^{\alpha \beta } {\text{ = }}0\) , where \(\mathop L\limits_j\) is the Lie derivative of the Killing vector ξ j , permit only radial motion, motion in the equatorial plane and in the equilibrium points. All these types of motion are considered more in detail.