Bound Geodesics in the Kerr Metric

Details Bound Geodesics in the Kerr Metric Bound Geodesics in the Kerr Metric

Feb 1972

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1972phrvd...5..814w&link_type=abstract

Physical Review D, vol. 5, Issue 4, pp. 814-822

Physics

120

Scientific paper

The bound geodesics (orbits) of a particle in the Kerr metric are examined. (By "bound" we signify that the particle ranges over a finite interval of radius, neither being captured by the black hole nor escaping to infinity.) All orbits either remain in the equatorial plane or cross it repeatedly. A point where a nonequatorial orbit intersects the equatorial plane is called a node. The nodes of a spherical (i.e., constant radius) orbit are dragged in the sense of the spin of the black hole. A spherical orbit near the one-way membrane traces out a helix-like path lying on a sphere enclosing the black hole.

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