Strong gravitational lensing in a spacetime with topological charge within the Eddington-inspired Born-Infeld gravity

TL;DR

This paper investigates how topological charge and EiBI gravity parameters influence strong gravitational lensing, revealing significant deviations from Schwarzschild predictions in black hole and wormhole spacetimes.

Contribution

It provides the first detailed analysis of light deflection in EiBI gravity with topological charge, extending strong lensing studies beyond standard General Relativity.

Findings

Topological charge and EiBI parameters significantly alter light deflection.

Relativistic image positions and magnifications differ from Schwarzschild predictions.

Strong field lensing signatures could help distinguish EiBI gravity from General Relativity.

Abstract

In this work we calculate the angular deflection of light in the strong field limit in two spacetimes which were previously studied within the Eddington-inspired Born-Infeld gravity (EiBI), namely, a black hole and a wormhole, both with topological charge. We show that the presence of the parameters characterizing EiBI and the topological charge promote significant changes in the angular deflection of light with respect to that one obtained in Schwarzschild spacetime. Using the expression for angular deflection in the strong field limit, we calculate the position and magnification of the respective relativistic images.