Weak Bending of Light by Rotating Regular Black Holes with Asymptotically Minkowski Core using the Gauss-Bonnet Theorem

TL;DR

This paper investigates the weak gravitational lensing effect of a rotating regular black hole with an asymptotically Minkowski core using the Gauss-Bonnet theorem, highlighting differences from classical black holes and other regular black holes.

Contribution

It introduces a novel analysis of light deflection around a specific rotating regular black hole with a Minkowski core, using the Gauss-Bonnet theorem in the weak lensing regime.

Findings

Weak deflection angle slightly differs between prograde and retrograde orbits.

Deflection angle correction decreases with increasing impact parameter.

Deflection angle similar to Bardeen and Hayward black holes for certain parameters.

Abstract

In this paper, the weak gravitational lensing phenomenon for a recently proposed rotating regular black hole with an asymptotically Minkowski core characterized by a sub-Planckian curvature was investigated. Using the Gauss-Bonnet Theorem, the deflection of light in the weak limit was computed by taking the black hole as a lens at a finite distance from both the source and the observer. It was shown that the weak deflection angle slightly differs between the prograde and retrograde motion but both eventually converge to $0$ as $b$ increases. Moreover, the deflection angle correction for Kerr classical black hole and this sort of rotating regular black hole is a decreasing function for large values of $b$. It was also shown that the weak deflection angle for this sort of regular black hole is similar to Bardeen and Hayward black hole given its corresponding values for the parameters $x$ and $n$