Abstract
In this paper, we analyze deflection angle of photon from magnetized black hole within non-linear electrodynamics with parameter beta . In doing so, we find the corresponding optical spacetime metric and then we calculate the Gaussian optical curvature. Using the Gauss–Bonnet theorem, we obtain the deflection angle of photon from magnetized black hole in weak field limits and show the effect of non-linear electrodynamics on weak gravitational lensing. We also analyzed that our results reduces into Maxwell’s electrodynamics and Reissner–Nordström (RN) solution with the reduction of parameters. Moreover, we also investigate the graphical behavior of deflection angle w.r.t correction parameter, black hole charge and impact parameter.
Highlights
Over the years, there have been many studies linking gravitational lensing with the Gauss–Bonnet theorem (GBT) after Gibbons and Werner (GW) elegantly showed that the possible way of calculation the deflection angle using the GBT for asymptotically flat static black holes [16]: α=− Kdσ, S∞Here K and dσ are the Gaussian curvature and surface element of optical metric.Afterwards, Werner extended this method for stationary black holes [17]
The main aim of this paper is to investigate the effect of the nonlinear electrodynamics charge on the deflection angle where we use the GBT in which the deflection of light become a global effect [41]
We investigate the impact of correction parameter, black hole charge and impact parameter on deflection angle of photon for magnetized black hole and investigate the effect of non-linear electrodynamics graphically
Summary
Over the years, there have been many studies linking gravitational lensing with the Gauss–Bonnet theorem (GBT) after Gibbons and Werner (GW) elegantly showed that the possible way of calculation the deflection angle using the GBT for asymptotically flat static black holes [16]: α=−. Ishihara et al [18] showed that it is possible to find deflection angle for the finite-distances (large impact parameter) because the GW only found the deflection angle using the optical Fermat geometry of the black hole’s spacetime in weak field limits and for the observers at asymptotically flat region. The main aim of this paper is to investigate the effect of the nonlinear electrodynamics (magnetized) charge on the deflection angle where we use the GBT in which the deflection of light become a global effect [41]. 3, deflection angle of photon using the GBT is studied in the case of magnetized black hole.
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