Regular scale-dependent black holes as gravitational lenses

TL;DR

This paper investigates how regular scale-dependent black holes act as gravitational lenses, calculating deflection angles and image properties, and compares these with Schwarzschild black holes, with applications to the galactic center black hole.

Contribution

It introduces a new analysis of gravitational lensing by regular scale-dependent black holes, extending previous models and providing specific calculations for strong deflection scenarios.

Findings

Deflection angles are computed for scale-dependent black holes.

Relativistic image positions and magnifications are determined.

Results are compared with Schwarzschild black holes, highlighting differences.

Abstract

In this article, we study regular scale-dependent black holes as gravitational lenses. We obtain the deflection angle in the strong deflection limit, from which we calculate the positions and the magnifications of the relativistic images. We compare our results with those corresponding to the Schwarzschild spacetime, and as an example, we apply and discuss these results to the particular case of the supermassive black hole at the center of our galaxy.