This study is purposed to derive the equation of motion for geodesics in vicinity of spacetime of a (2 + 1)-dimensional charged BTZ black hole. In this paper, we solve geodesics for both massive and massless particles in terms of Weierstrass elliptic and Kleinian sigma hyper-elliptic functions. Then we determine different trajectories of motion for particles in terms of conserved energy and angular momentum and also using effective potential.
@article{arxiv.1512.08449,
title = {A study of geodesic motion in a (2+1)-dimensional charged BTZ black hole},
author = {Saheb Soroushfar and Reza Saffari and Afsaneh Jafari},
journal= {arXiv preprint arXiv:1512.08449},
year = {2016}
}
Comments
18 pages, 14 figures,Accepted for publication in Physical Review D