Publication date: Jan 1976
Abstract:
The authors investigate the motion of a test particle in the Kerr metric
using Boyer-Lindquist coordinates, extending the results of de Felice
and Calvani (FC) (1972) to cases not covered by them, and also
considering further details concerning, in particular, photons moving
along the principal null congruences. Whereas FC considered only
nonnegative values of L = q + l-squared, here negative values are
treated. Curves are drawn showing l-aquared as a function of Theta for a
fixed positive Gamma and typical values of L, demonstrating the
oscillatory nature of the latitudinal motion. Four families of photon
world lines with constant latitudes are found. A graph of L/a-squared
versus x for a fixed l/a is drawn from calculations, which is used to
analyze the r-motions of photons.
Authors:
Bicak, J.; Stuchlik, Z.;