Analytic solutions of the geodesic equation in axially symmetric space-times

Details Analytic solutions of the geodesic equation in axially symmetric space-times Analytic solutions of the geodesic equation in axially symmetric space-times

2009-11-09

arxiv.org/abs/0911.1634v1

Europhys.Lett.88:30008,2009

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

4 pages, 4 figures, accepted for publication in EPL

Scientific paper

10.1209/0295-5075/88/30008

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.

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