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arXiv · 1509.03135

Analytic solutions of the geodesic equation for Einstein-Maxwell-dilaton-axion black holes

Kai Flathmann·Saskia Grunau
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Abstract

In this article we study the geodesic motion of test particles and light in the Einstein-Maxwell-Dilaton-Axion black hole spacetime. We derive the equations of motion and present their solutions in terms of the Weierstraß $\wp$-, $σ$- and $ζ$-functions. With the help of parametric diagrams and effective potentials we analyze the geodesic motion and give a list of all possible orbit types.

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Kai Flathmann, Saskia Grunau. 2015-11-12. Analytic solutions of the geodesic equation for Einstein-Maxwell-dilaton-axion black holes. https://doi.org/10.1103/physrevd.92.104027

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