Could wormholes form in dark matter galactic halos?

TL;DR

This paper investigates whether the spacetime geometry of galactic halos, modeled using dark matter density profiles and rotational velocity data, could theoretically support traversable wormholes within Einstein's general relativity.

Contribution

It introduces a method to estimate galactic halo geometry from observational data and analyzes the potential for wormhole formation based on dark matter profiles.

Findings

Galactic halo spacetime may support traversable wormholes.

Different dark matter profiles influence the wormhole-supporting conditions.

Rotational velocity data can be used to infer exotic spacetime features.

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 letter 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~\citep{Navarro1996} and Universal Rotation Curve (URC) ~\citep{Castignani2012}. It is argued that spacetime of the galactic halo possesses some of the characteristics needed to support traversable wormholes.