From dark halos to exotic bridges: wormhole structures with Einasto density profiles

An exotic matter source that breaches the energy conditions is necessary for wormhole topologies in Einstein’s general relativity. With regard to its matter source and non-conserved energy momentum tensor, Rastall theory is a generalization of general relativity. We examine whether wormhole solutions in Rastall’s altered gravity theory obey energy conditions or reduce their violations, prompted by the character of this generalization of the matter source of field equations and the possibility that static wormholes, as opposed to dynamical ones, may obey energy conditions. We obtain generic analytical solutions for the wormhole structures while taking into account the Einasto density profile for the dark matter haloes and a constant redshift function. For certain parametric values, we demonstrate that there are solutions that breaches the energy conditions in the neighborhood of the wormhole’s throat due to changes in the energy momentum source of the field equations. Furthermore, in order to assess the attributes of these solutions, we study some factors associated with the wormholes, including the complexity factor.