Analytic solutions of the geodesic equation in axially symmetric space-times
E. HackmannZARM, Universität Bremen - Am Fallturm, 28359 Bremen, Germany, EUV. KagramanovaInstitut für Physik, Universität Oldenburg - 26111 Oldenburg, Germany, EUJ. KunzInstitut für Physik, Universität Oldenburg - 26111 Oldenburg, Germany, EUC. LämmerzahlZARM, Universität Bremen - Am Fallturm, 28359 Bremen, Germany, EU
2009en
ABI
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 Plebanski--Demianski space--times without acceleration are presented. The solutions are given in terms of the Kleinian sigma functions.
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