Abstract
The present work looks for the existence of completely new wormhole geometries in the bulge of the Milky Way galaxy (MWG) situated on the dark matter (DM) density profile followed from MacMillan (MNRAS 76:465, 2017) and Boshkayev and Malafarina (MNRAS 484:3325, 2019) concerned with Global Monopole Charge. The obtained shape function is positively increasing against the radial coordinate and it increases faster with the increasing values of Global Monopole Charge. Moreover, the reported shape function satisfies all the essential criterions and hence it constructs wormhole geometry in the bulge of the MWG. Further, the DM candidate around bulge is suitable to harbor wormhole by violating the null energy condition(NEC) corresponding to three different redshift functions. The striking point of our solution is that for zero Global Monopole Charge the wormholes are asymptotically flat corresponding to the first two choices of redshift functions while for positive values of Global Monopole Charge wormhole becomes non asymptotically flat and Global Monopole Charge also has the crucial effect on the violation of NEC. In our solutions, one can note that the total amount of averaged NEC violating matter in the wormhole spacetime depends on the Global Monopole Charge eta . Furthermore, the respective wormhole solutions are in equilibrium positions.
Highlights
The remaining 95% matter and energy of total mass–energy are distributed into the dark sector, which is divided in dark matter (DM) and dark energy (DE)
We have manifested the existence of wormhole in the bulge of the Milky Way galaxy (MWG) on the basis of dark DM density profile and Global Monopole Charge
As have mentioned in introduction part that the possible existence wormholes in the galactic halo region has already been successfully discussed on the basis the NFW, Universal Rotation Curve, Isothermal and Void density profiles
Summary
The connecting and traveling characteristics of wormholes attract the theoretical research community and from the last few decades many researchers have intensively studied various aspects of traversable wormholes within Einstein gravity as well as in different theories of modified gravity [3,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55]. Mamon et al [72] studied the mass and shape of the galactic dark halo, the large-scale structure of the Milky Way and provided the evidence that the inner Galaxy is dominated by baryonic matter. They have studied the bulge formation from clumpy, gas-rich disks, disk-like, enrich bulges similar to the galactic bulge. Nucamendi et al [80] have suggested that the monopole (its energy density proportional to 1/r 2) could be the galactic dark matter in the spiral galaxies.
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