Deflection of light by dark matter supporting traversable wormholes in the framework of Kalb-Ramond gravity

TL;DR

This paper investigates the formation, stability, and light deflection properties of traversable wormholes supported by dark matter halos within Kalb-Ramond gravity, using specific dark matter profiles and analyzing energy conditions.

Contribution

It presents new wormhole solutions in Kalb-Ramond gravity supported by dark matter, analyzes their stability, energy conditions, and light deflection behavior.

Findings

Wormhole solutions satisfy geometric conditions and are asymptotically flat.

Energy conditions are violated near the throat but satisfied elsewhere.

Light deflection diverges near the throat and vanishes at large distances.

Abstract

This study explores the possible formation of asymptotically flat traversable wormholes within dark matter halos under the framework of Kalb-Ramond gravity. The wormhole solutions are derived based on the King and Navarro-Frenk-White dark matter density profiles associated with anisotropic matter sources. For a particular set of parameters, the proposed shape functions are found to be positively increasing and satisfy all the essential geometric conditions along with the flare-out condition, thereby supporting asymptotically flat traversable wormholes. To study the underlying matter content responsible for the wormhole structures, we analyze the null energy condition at the wormhole throat and provide graphical representations of various energy conditions, highlighting both the regions where they are satisfied and where they are violated. The stability of the reported wormhole solutions is confirmed through the generalized Tolman-Oppenheimer-Volkoff equation. In addition, we explore several physical features of the wormhole configurations, including the embedding surface, complexity factor, active gravitational mass, and total gravitational energy. Moreover, we investigate the deflection of light by these wormholes, finding that the deflection angle approaches zero at large distances, where the wormhole's gravity is negligible, and diverges near the throat, where the gravitational influence is extremely strong.