A study of geodesic motion in a (2+1)-dimensional charged BTZ black hole
arXiv:1512.08449 · doi:10.1103/PhysRevD.93.104037
Abstract
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.
18 pages, 14 figures,Accepted for publication in Physical Review D