Within the framework of asymptotically safe gravity, we investigate traversable wormhole configurations sourced by dark matter halos modeled through the Burkert density profile. In this setting, the wormhole shape function is determined by the interplay between the adopted mass-density distribution and the modified gravitational field equations. The analysis proceeds by employing the tangential velocity profile to infer the redshift function. A scale-dependent gravitational coupling, G ( k ) , obtained from the infrared renormalization group flow of asymptotically safe gravity, is incorporated into the field equations to consistently include quantum gravitational corrections at astrophysical length scales. We analyze the standard energy conditions and demonstrate that the null energy condition is violated in the neighborhood of the wormhole throat, in agreement with the generic behavior of traversable wormhole spacetimes. Furthermore, we construct embedding diagrams to visualize the spatial geometry and to elucidate the flaring–out condition at the throat.
Kiroriwal et al. (Sun,) studied this question.