On the possibility of traversable wormhole formation in the Galactic halo in the presence of scalar field

In the paper we obtain traversable wormhole (TW) solutions in the Einstein gravity with a functional form of the dark matter in the galactic halo. The dark matter model is pseudo isothermal which is derived from modified gravity. For a given central density the possibility of TW is explored determining the shape functions. The null energy condition (NEC) and the weak energy conditions in the model is probed. We also study the existence of TWs considering homogeneous scalar field in addition to the dark matter halo in the galaxies. An interesting observation is that TW solutions exist even if NEC is not violated in the presence of scalar field.