# Strong deflection gravitational lensing by a modified Hayward black hole

## TL;DR

This paper studies how strong gravitational lensing near a modified Hayward black hole could reveal quantum gravity effects, providing potential observational signatures to distinguish it from classical black holes.

## Contribution

It analyzes observable lensing features of a nonsingular black hole model, highlighting potential quantum gravity signatures in astrophysical observations.

## Key findings

- Possible to distinguish modified Hayward black hole from Schwarzschild black hole with high-resolution observations.
- Lensing observables like angular separations and time delays are affected by quantum gravity modifications.
- Current observational capabilities are insufficient to detect these differences.

## Abstract

A modified Hayward black hole is a nonsingular black hole. It is proposed to form when the pressure generated by quantum gravity can stop matter's collapse as the matter reaches Planck density. Strong deflection gravitational lensing happening nearby its event horizon might provide some clues of these quantum effects in its central core. We investigate observables of the strong deflection lensing, including angular separations, brightness differences and time delays between its relativistic images, and estimate their values for the supermassive black hole in the Galactic center. We find that it is possible to distinguish the modified Hayward black hole from a Schwarzschild one, but it demands very high resolution beyond current stage.