Evolving topologically deformed wormholes supported in the dark matter halo

TL;DR

This paper constructs an evolving wormhole model supported by dark matter in the halo, using specific equations of state and density profiles, revealing how topological deformation influences the wormhole's evolution.

Contribution

It introduces a novel evolving wormhole model in dark matter halos incorporating topological deformation and specific dark matter profiles, which has not been explored before.

Findings

The wormhole satisfies the flare-out condition by violating NEC.

The topological deformation parameter significantly affects wormhole evolution.

Dark matter profiles influence the wormhole's physical properties.

Abstract

In this paper, we construct an evolving wormhole in the dark matter halo. This work is relevant since matter has two components: (i) cosmological part (only time-dependent) and (ii) wormhole part (only space-dependent). In order to implement this, we use the Chaplygin gas as an equation of state for the cosmic part and Navarro-Frenk-White dark matter density profile as well as Thomas-Fermi (TF) profile in order to form a dark wormhole. The flare-out condition of wormhole is also satisfied by violating the null energy condition (NEC) for some specific values of quantities. Furthermore, we reveal more interesting results regarding how an topologically deformation parameter $\alpha$ affects the evolving wormhole sourced with some dark matter models based on the physically motivated shape function.