Gravitational lensing by wormholes supported by electromagnetic, scalar, and quantum effects

TL;DR

This paper investigates light deflection by wormholes supported by electromagnetic, scalar, and quantum effects using geometric methods, introduces a new quantum-supported wormhole solution, and discusses energy conditions for traversability.

Contribution

It applies novel geometric techniques to compute light deflection in wormholes and introduces a new quantum-influenced wormhole model supported by Bohmian quantum effects.

Findings

Deflection angles computed using Gauss-Bonnet theorem and geodesics agree.

Quantum effects influence wormhole matter sources and anisotropic pressures.

New wormhole solution supported by Bohmian quantum trajectories proposed.

Abstract

Wormholes are one of the most interesting topological features in spacetime, offering a rat run between two vastly separated regions of the universe. In this paper, we study the deflection angle of light by wormholes, which are supported by electric charge, magnetic charge, and scalar fields in the weak field limit approximation. To this end, we apply new geometric methods -- the Gauss-Bonnet theorem and the optical geometry -- to compute the deflection angles. We also verify our findings by using the well-known geodesics method. There exists a similarity between the charge and the quantum corrections on a black hole solution, which has been recently discussed in the context of the relativistic Bohmian quantum mechanics. By replacing classical geodesics with Bohmian trajectories, we introduce a new wormhole solution, whose having matter sources and anisotropic pressure supported by Bohmian quantum effects. The problem of fulfillment of the energy conditions of the Morris-Thorne traversable wormhole is also discussed.