  This study investigates the geodesic motion of test particles, both massless
and massive, within a Schwarzschild-Klinkhamer (SK) wormhole space-time. We
specifically consider the influence of cosmic strings on the system and analyze
the effective potential, and observing that the presence of a cosmic string
parameter alters it for null and time-like geodesics. Moreover, we calculate
the deflection angle for null geodesics, and demonstrate that the cosmic string
modifies this angle and induces a shift in the results. Additionally, we extend
our investigation in this SK-wormhole space-time but with a global monopole. We
explore the geodesic motion of test particles in this scenario and find that
the effective potential is affected by the global monopole. Similarly, we
determine the deflection angle for null geodesics and show that the global
monopole parameter introduces modifications to this angle. Lastly, we present
several known solutions for space-times involving cosmic strings and global
monopoles within the framework of this SK-wormhole.
