Minimally complex fuzzy wormhole models in Einstein-Cartan theory of gravity

Abstract

In this work, we explore the possibility of constructing minimally complex wormhole geometries supported by fuzzy dark matter, framed within the Einstein-Cartan gravity model. By using the realistic Einasto density profile to model dark matter haloes, we reveal how dark matter distributions can form and affect wormhole structures. The matter content is an anisotropic fluid with Weyssenhoff spin contributions, effectively including quantum spin effects in the relativistic anisotropic energy–momentum tensor. The wormhole shape function is determined by solving the field equations and the Einasto profile. We then probe further into the dark matter’s role in dictating important physical properties of the wormhole, such as the complexity factor, equation of state, equilibrium status, energy limits, and active gravitational mass. To further complement our results, a detailed graphical analysis is included, illustrating how dark matter can dictate the geometry and physical feasibility of such extreme spacetime geometries.