Geodesic motion in the spacetime of a SU(2)-Colored (A)dS black hole in conformal gravity
Department of Physics, University of Guilan, 41335-1914, Rasht, Iran
2 Faculty of Technology and Mining, Yasouj University, 75761-59836, Choram, Iran
Accepted: 27 April 2021
Published online: 4 May 2021
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 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.
© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2021