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

TL;DR

This paper derives exact solutions for the paths of particles and light around Einstein-Maxwell-Dilaton-Axion black holes using advanced mathematical functions, providing detailed analysis of possible orbits.

Contribution

It presents explicit analytic solutions to the geodesic equations in this complex black hole spacetime, expanding understanding of particle motion in such backgrounds.

Findings

Classification of all possible orbit types

Explicit solutions in terms of Weierstra{ extquoteright}ss functions

Analysis of geodesic motion using parametric diagrams and effective potentials

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.