Geodesics motion of test particles around Schwarzschild-Klinkhamer wormhole with topological defects and gravitational lensing

TL;DR

This paper analyzes how cosmic strings and global monopoles influence the geodesic motion and gravitational lensing around Schwarzschild-Klinkhamer wormholes, revealing modifications in effective potential and deflection angles due to these topological defects.

Contribution

It provides a detailed study of test particle trajectories and gravitational lensing in SK-wormholes affected by cosmic strings and monopoles, including new calculations of deflection angles.

Findings

Cosmic strings alter the effective potential and deflection angles for null and time-like geodesics.

Global monopoles modify the effective potential and deflection angles in the SK-wormhole spacetime.

Several known solutions involving topological defects are presented within the SK-wormhole framework.

Abstract

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.