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

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Published 13 November 2009 Europhysics Letters Association
, , Citation E. Hackmann et al 2009 EPL 88 30008 DOI 10.1209/0295-5075/88/30008

0295-5075/88/3/30008

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 Plebański-Demiański space-times without acceleration are presented. The solutions are given in terms of the Kleinian sigma functions.

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10.1209/0295-5075/88/30008