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Deflection of light by rotating regular black holes using the Gauss-Bonnet theorem

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arxiv 1804.00643 v2 pith:OETMHRKD submitted 2018-04-02 gr-qc hep-th

Kimet Jusufi , Ali Övgün , Joel Saavedra , P. A. González , Yerko Vásquez This is my paper · ORCID
classification gr-qchep-th
keywords deflectionblacklightangleholeschargegauss-bonnetgeometries
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In this paper, we study the weak gravitational lensing in the spacetime of rotating regular black hole geometries such as Ayon-Beato-Garc\'ia (ABG), Bardeen, and Hayward black holes. We calculate the deflection angle of light using the Gauss-Bonnet theorem (GBT) and show that the deflection of light can be viewed as a partially topological effect in which the deflection angle can be calculated by considering a domain outside of the light ray applied to the black hole optical geometries. Then, we demonstrate also the deflection angle via the geodesics formalism for these black holes to verify our results and explore the differences with the Kerr solution. These black holes have in addition to the total mass and rotation parameter, different parameters as electric charge, magnetic charge, and deviation parameter. Newsworthy, we find that the deflection of light has correction terms coming from these parameters which generalizes the Kerr deflection angle.

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Cited by 4 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Strong field gravitational lensing of particles by a black-bounce-Schwarzschild black hole

    gr-qc 2026-02 accept novelty 5.0 of 10

    For a black-bounce-Schwarzschild black hole, the paper derives the strong-deflection lensing observables for massive particles and quantifies how they differ from photon lensing.

  2. Null geodesics, causal structure, and matter accretion in Lorentzian-Euclidean black holes

    gr-qc 2025-07 reject novelty 5.0 of 10

    In the Lorentzian-Euclidean black hole, photons and massive particles are claimed to be unable to cross the event horizon, making the spacetime geodesically complete and avoiding the central singularity.

  3. Chaotic imprints of dark matter in extreme mass-ratio inspirals

    gr-qc 2026-02 reject novelty 4.0 of 10

    A toy model shows that adding a hand-made angle-dependent force to dark-matter spacetimes produces visual chaos and irregular numerical-Kludge waveforms, but the force is not a realistic dark-matter perturbation.

  4. Analyzing Deflection Angles and Photon Sphere Dynamics of Magnetically Charged Black Holes in Nonlinear Electrodynamic

    gr-qc 2025-02 reject novelty 4.0 of 10

    A new closed-form weak deflection angle and shadow analysis for a magnetically charged NED black hole, with strong-field results that reduce to Schwarzschild after a mass redefinition.

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