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.
@article{arxiv.0911.1634,
title = {Analytic solutions of the geodesic equation in axially symmetric space-times},
author = {E. Hackmann and V. Kagramanova and J. Kunz and C. Lämmerzahl},
journal= {arXiv preprint arXiv:0911.1634},
year = {2011}
}
Comments
4 pages, 4 figures, accepted for publication in EPL