Light Deflection by Rotating Regular Black Holes with a Cosmological Constant

TL;DR

This paper investigates how light deflection is influenced by rotating regular black holes with a cosmological constant, highlighting the effects of non-linear electrodynamics and comparing with Kerr black holes using the Gauss-Bonnet theorem.

Contribution

It introduces a method to compute light deflection angles for rotating regular black holes with a cosmological constant, including new correction terms and comparative analysis.

Findings

Cosmological constant introduces additional correction terms in light deflection.

Non-linear electrodynamic charges decrease the deflection angle.

Graphical analysis compares deflection in cosmological black holes with Kerr solutions.

Abstract

Using the Gauss-Bonnet theorem, we compute and examine the deflection angle of light rays by rotating regular black holes with a cosmological constant. By the help of optical geometries, we first deal with the Hayward black holes with cosmological contributions. Then, we reconsider the study of the Bardeen solutions. We inspect the cosmological constant effect on the deflection angle of light rays. Concretely, we find extra cosmological correction terms generalizing certain obtained findings. Using graphical analysis, we provide a comparative discussion with respect to the Kerr solutions. The results confirm that the non-linear electrodynamic charges affect the space-time geometry by decreasing the deflection angle of light rays by such cosmological black holes.