Light Deflection by Rotating Regular Black Holes with a Cosmological Constant

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.

latex, 16 pages, 4 figures. Accepted for publication in Chin. J. Phys 2022

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• Generalized Gibbons-Werner method for stationary spacetimes
• Imprints of a gravitational wave through the weak field deflection of photons
• The influence of cosmological constant on light deflection in rotating spacetimes via the generalized Gibbons-Werner method