Abstract
We estimate expression for velocity as a function of the radial coordinate \(r\) by using polynomial interpolation based on the experimental data of rotational velocities at distant outer regions of galaxies. The interpolation technique has been used to estimate fifth degree polynomial followed by cubic spline interpolation. This rotational velocity is used to find the geometry of galactic halo regions within the framework of Einstein’s general relativity. In this paper we have analyzed features of galactic halo regions based on two possible choices for the dark matter density profile, viz. Navarro, Frenk & White (NFW) type (Navarro et al. in Astrophys. J. 462:563, 1996) and Universal Rotation Curve (URC) (Castignani et al. in Nat. Sci. 4:265, 2012). It is argued that spacetime of the galactic halo possesses some of the characteristics needed to support traversable wormholes.
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Acknowledgements
FR and SR are grateful to the Inter-University Centre for Astronomy and Astrophysics (IUCAA), India for providing Associateship Programme. FR is thankful to the DST, Govt. of India for financial support under PURSE programme whereas BS is thankful to the DST for providing financial support under INSPIRE programme. We are grateful to the referee for his valuable comments which have improved the manuscript substantially.
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Rahaman, F., Shit, G.C., Sen, B. et al. Could wormholes form in dark matter galactic halos?. Astrophys Space Sci 361, 37 (2016). https://doi.org/10.1007/s10509-015-2626-7
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DOI: https://doi.org/10.1007/s10509-015-2626-7