Analytic solutions of the geodesic equation in axially symmetric space-timesE. Hackmann1, V. Kagramanova2, J. Kunz2 and C. Lämmerzahl1
1 ZARM, Universität Bremen - Am Fallturm, 28359 Bremen, Germany, EU
2 Institut für Physik, Universität Oldenburg - 26111 Oldenburg, Germany, EU
received 12 October 2009; accepted in final form 27 October 2009; published November 2009
published online 13 November 2009
The complete sets of analytic solutions of the geodesic equation in Taub-NUT-(anti-) de Sitter, Kerr-(anti-)de Sitter and also in general Plebański-Demiański space-times without acceleration are presented. The solutions are given in terms of the Kleinian sigma functions.
04.20.Jb - Exact solutions.
02.30.Hq - Ordinary differential equations.
© EPLA 2009