Eur. Phys. J. Plus (2021) 136: 489
https://doi.org/10.1140/epjp/s13360-021-01511-y

Regular Article

Geodesic motion in the spacetime of a SU(2)-Colored (A)dS black hole in conformal gravity

¹ Department of Physics, University of Guilan, 41335-1914, Rasht, Iran
² Faculty of Technology and Mining, Yasouj University, 75761-59836, Choram, Iran

^b rsk@guilan.ac.ir

Received: 18 November 2020
Accepted: 27 April 2021
Published online: 4 May 2021

Abstract

In this paper, we study the geodesic motion in the spacetime of a SU(2)-colored (A)dS black hole in conformal gravity, and also we investigate spacetime features, such as light spheres and horizons. Moreover, we derive the analytical solutions for the equation of motion of test particles and light rays using Weierstrass elliptic and Kleinian $\sigma$ functions. Depending on the particle energy levels and angular momentums, we classify the solutions of the geodesic equations. Furthermore, several examples of possible types of orbits illustrate the results.