Analytic solutions of the geodesic equation in axially symmetric space-times
arXiv:0911.1634 · doi:10.1209/0295-5075/88/30008
Abstract
The complete sets of analytic solutions of the geodesic equation in Taub--NUT--(anti-)de Sitter, Kerr--(anti-)de Sitter and also in general Plebanski--Demianski space--times without acceleration are presented. The solutions are given in terms of the Kleinian sigma functions.
4 pages, 4 figures, accepted for publication in EPL