Analytical solutions for geodesic equation in black hole spacetimes

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Abstract

We review the analytical solution methods for the geodesic equation in Kerr-Newman-Taub-NUT-de Sitter spacetimes and its subclasses in terms of elliptic and hyperelliptic functions. A short guide to corresponding literature for general timelike and lightlike geodesic motion is also presented.

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Lämmerzahl, C., & Hackmann, E. (2015). Analytical solutions for geodesic equation in black hole spacetimes. In Springer Proceedings in Physics (Vol. 170, pp. 43–51). Springer Science and Business Media, LLC. https://doi.org/10.1007/978-3-319-20046-0_5

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