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

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arxiv 1509.03135 v2 pith:XXJ22Z3D submitted 2015-09-10 gr-qc

classification gr-qc
keywords geodesicmotionblackeinstein-maxwell-dilaton-axionsolutionsanalyticanalyzearticle
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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 Weierstra{\ss} $\wp$-, $\sigma$- and $\zeta$-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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  1. The shadow and quasinormal modes of the asymptotically flat hairy black holes with a dilaton potential

    gr-qc 2025-08 conditional novelty 5.0 of 10

    For exact asymptotically flat hairy charged black holes with a dilaton potential, the shadow radius, photon-orbit Lyapunov exponent, and scalar quasinormal frequencies are computed, showing strong coupling dependence ...

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