Gravitational bending angle with finite distances by Casimir wormholes

TL;DR

This paper analyzes the gravitational bending angle caused by Casimir wormholes, incorporating GUP corrections, and computes lensing effects for finite distances using the Ishihara method.

Contribution

It introduces a method to calculate bending angles for Casimir wormholes with GUP corrections at finite distances, extending previous models.

Findings

Bending angles are computed for various GUP models.

Lensing effects like convergence and shear are analyzed.

Finite-distance effects on gravitational lensing are characterized.

Abstract

In this paper, we investigate the gravitational bending angle due to the Casimir wormholes, which consider the Casimir energy as the source. Furthermore, some of these Casimir wormholes regard Generalized Uncertainty Principle (GUP) corrections of Casimir energy. We use the Ishihara method for the Jacobi metric, which allows us to study the bending angle of light and massive test particles for finite distances. Beyond the uncorrected Casimir source, we consider many GUP corrections, namely: the Kempf, Mangano and Mann (KMM) model, the Detournay, Gabriel and Spindel (DGS) model, and the so-called type II model for the GUP principle. We also find the deflection angle of light and massive particles in the case of the receiver and the source are far away from the lens. In this case, we also compute the optical scalars: convergence and shear for these Casimir wormholes as a gravitational weak lens.