Analytic solutions of the geodesic equation for U(1)^2 dyonic rotating black holes

Abstract

In this article we derive the geodesic equations in the ${\text{U(1)}}^2$ dyonic rotating black hole spacetime. We present their solutions in terms of the Kleinian $\sigma$-function and in special cases in terms of the Weierstraß $\wp$-, $\sigma$- and $\zeta$-functions. To give a list of all possible orbits, we analyse the geodesic motion of test particles and light using parametric diagrams and effective potentials.

14 pages, 7 figures

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Cited by in corpus (1)

• Analytic solutions of the geodesic equation for Reissner-Nordström-(anti-)de Sitter black holes surrounded by different kinds of regular and exotic matter fields