Topologically Charged Rotating Wormhole

Abstract

In this article, we present a stationary metric ansatz to describe a rotating traversable wormhole in the presence of the topological defect produced by a global monopole charge. This particular rotating space-time is referred to as the topologically charged rotating Schwarzschild-Klinkahmer wormhole. Our study involves the analysis of geodesic motion for test particles and photon rays in the context of this topologically charged rotating traversable wormhole. We aim to analyze the effects of global monopole charge and other parameters on the outcomes of this investigation. Additionally, we explore the matter-energy distribution within this rotating wormhole, considering it as a non-vacuum solution of Einstein's field equation. Notably, we demonstrate that the energy density of the matter content satisfies the criteria of the weak energy condition.