Gravitational lensing in holonomy corrected spherically symmetric black holes with phantom global monopoles

TL;DR

This paper investigates how global monopoles, including phantom types, affect gravitational lensing around holonomy-corrected black holes by deriving analytical deflection angles considering quantum gravity effects.

Contribution

It provides the first analytical expressions for photon deflection angles in holonomy-corrected black holes with monopoles, incorporating quantum gravity corrections up to second order.

Findings

Global monopoles influence the deflection angle of light.

Quantum gravity corrections modify lensing predictions.

Phantom monopoles have distinct effects compared to ordinary monopoles.

Abstract

In this paper, we address a theoretical investigation of the gravitational lensing phenomenon within the space-time framework of a holonomy-corrected spherically symmetric black hole (BH), incorporating both ordinary and phantom global monopoles. Our focus lies on the analysis of null geodesics within this black hole background, examining the influence of ordinary and phantom global monopoles on the effective potential of null geodesics of the system. Afterwards, we derive analytical expressions for the deflection angle of photon light, considering weak field limit. The obtain expressions are presented up to the second order of the Loop Quantum Gravity parameter, enabling a thorough examination of the impact of ordinary and phantom global monopoles on the deflection angle.