Constructing traversable wormholes in dark matter halos with a non-trivial redshift function

Abstract In this paper, we construct and analyze a new class of static, spherically symmetric wormhole geometries supported by anisotropic matter distributions inspired by the Einasto density profile, which is widely used to describe dark matter haloes in galaxies. We discuss the geometrical and physical implications of such wormhole configurations through a variable redshift function in the context of general relativity. Within this model, a number of physical constraints are taken into consideration, including energy conditions (like the null energy condition) and the conservation equation, which bring critical checks on the viability of traversable configurations. We further discuss the EoS parameter, the…