Kiselev-inspired Wormholes

Abstract: In this study, we investigate traversable wormholes inspired by the Kiselev framework, which extends classical black hole solutions by incorporating anisotropic fluids. These exotic fluids play a crucial role in cosmology, particularly in explaining phenomena such as the accelerated expansion of the universe. We generalize the Kiselev framework to static, spherically symmetric traversable wormholes and analyze their properties under two distinct models of the redshift function: a constant redshift function and one that varies inversely with the radial coordinate. We examine the energy conditions-specifically the Null Energy Condition (NEC), Weak Energy Condition (WEC), and Strong Energy Condition (SEC)-for these models, demonstrating that only certain exotic fluids can sustain the wormhole structure. Furthermore, we quantify the amount of exotic matter required to maintain these wormholes using the volume integral quantifier and compare our results with other wormhole models. Additionally, we compute the effective potential for photons in Kiselev-inspired wormholes under both redshift function models and analyze their implications for weak gravitational lensing. Our findings suggest that Kiselev-inspired wormholes could serve as viable candidates for exotic geometries, potentially paving the way for future observational verification.