Geodesics of the Dietz-Hoenselaers two spinning particles solution

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Equatorial Atmosphere, Geodesic Lines, Geodetic Coordinates, Particle Spin, Angular Momentum, Einstein Equations, Null Zones, Spin

Scientific paper

The geodesics of the solution for two spinning particles recently obtained by Dietz and Hoenselaers is studied. It turns out that timelike and null geodesics emanating from infinity in the equatorial plane cannot reach the spin axis of the particles. The motion is confined in two regions, near and away from the axis, separated by a vertical forbidden region, which arises because of g(phi phi) less than 0 in a finite region. Close to the forbidden region lies the causality violating region. Timelike geodesics with energy E not less than 1.4 on the axis can pass through from one side of the particles to the other and so do the null geodesics.

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