Dehnen-type dark matter wormholes in the $f(\mathcal{R},\mathcal{L}_m,\mathcal{T})$ action

TL;DR

This paper investigates the theoretical possibility of stable, traversable wormholes supported by dark matter-like density profiles within a modified gravity framework, avoiding exotic matter requirements.

Contribution

It constructs asymmetric, asymptotically flat wormhole solutions with double power-law densities in $f( ext{R}, ext{L}_m, ext{T})$ gravity, avoiding exotic matter.

Findings

Found stable, traversable wormhole solutions supported by dark matter profiles.

Demonstrated avoidance of exotic matter and singularities in these solutions.

Showed potential for such wormholes to exist naturally in the universe.

Abstract

We are exploring the possibility of traversable wormholes existing in a more realistic context. Specifically, we are looking at scenarios that don't rely on exotic factors, like having a mass shell at the throat or allowing particles and antiparticles to coexist without annihilation. To do this, we are constructing wormholes with double power-law density distributions, drawing inspiration from the Dehnen-type dark matter halo in the framework of generalized geometry-matter coupling gravity. Our investigation carefully considers the challenges of traversability and stability, as well as the roles of exotic matter, the exoticity parameter, and the anisotropy parameter. We have discovered solutions that describe asymmetric, asymptotically flat traversable wormholes, supported by a smooth metric and double power-law density distributions. These solutions successfully avoid the problems, giving us hope that such wormholes could actually exist in nature.