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Weak gravitational lensing by Kerr-MOG Black Hole and Gauss-Bonnet theorem
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abstract
The deflection angle of Kerr-MOG black holes is studied for different values of the parameter in modified gravity (MOG). To this end, we employ the Gauss-Bonnet theorem, which was first studied by Gibbons and Werner and then extended by Ono, Ishihara and Asada, who use a generalized optical metric where the deflection of light for an observer and source at finite distance. By using this method, we study the weak gravitational lensing by Kerr-MOG black hole. Our computations show that with an increase in the MOG parameter ($\alpha$), the deflection angle becomes significantly larger than that of Kerr black hole. The results obtained show that MOG effect could be taken into account in the gravitational lensing experiments.
Forward citations
Cited by 3 Pith papers
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The paper derives explicit weak-field deflection formulas, including plasma corrections, for hairy black holes in Einstein-Maxwell-dilaton theory, with hair encoded through a dilaton potential parameter alpha.
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Using the Gauss-Bonnet theorem, the authors derive the weak-field photon deflection angle for Kruglov's magnetized black hole, yielding a new term proportional to beta times charge to the fourth over impact parameter ...
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