Bound orbits around charged black strings

We study the geodesics of 5d Reissner-Nordstrom and nonsingu-lar black strings, and establish a rational bound orbit taxonomy for both massive as well as null test particles. For the timelike case, test particles with high energy (that would have made them plunge into or scatter off a black hole) could still form bound orbits around the black strings. We calculate the accumulated angles of the corresponding radial periods and show that they are higher than their 4d counterparts. For the null case, we found the existence of stable null orbits outside their respective horizons, which do not exist in the four dimensions except at their extremal limit.(c) 2022 Elsevier Inc. All rights reserved.