Geodesic motion and particle confinements in cylindrical wormhole space–time: Exploring closed timelike curves

In this study, the geodesic motion of a test particle along with its confinement is investigated within cylindrically symmetric wormhole space–time admitting to closed timelike curves. The confinement of particles with or without angular momentum is also investigated. It is found that particles with positive angular momentum that co-rotates with the space–time can only pass through the causality violating region. Particles with only nonzero angular momentum are present in the vicinity of the closed timelike curves.