| Issue |
EPL
Volume 88, Number 3, November 2009
|
|
|---|---|---|
| Article Number | 30008 | |
| Number of page(s) | 5 | |
| Section | General | |
| DOI | https://doi.org/10.1209/0295-5075/88/30008 | |
| Published online | 13 November 2009 | |
Analytic solutions of the geodesic equation in axially symmetric space-times
1
ZARM, Universität Bremen - Am Fallturm, 28359 Bremen, Germany, EU
2
Institut für Physik, Universität Oldenburg - 26111 Oldenburg, Germany, EU
Corresponding author: hackmann@zarm.uni-bremen.de
Received:
12
October
2009
Accepted:
27
October
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.
PACS: 04.20.Jb – Exact solutions / 02.30.Hq – Ordinary differential equations
© EPLA, 2009
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