Abstract
This paper is devoted to study weak gravitational lensing properties around black hole surrounded plasma medium in modified gravity (MOG). We have investigated the effects of the MOG-parametr and plasma medium on the deflection angle and total magnification of the images. we have presented the comparisons of the effects of the uniform plasma, singular isothermal sphere and non-singular isothermal sphere. We have also shown that the uniform plasma effects significantly stronger than the other models of plasma medium.Through the studies of the total magnifications of images of a remote source we have shown that the effects of the MOG parameter and plasma medium are similar and the increase of the MOG parameter and plasma frequency cause to increase the total magnification. Moreover, we have explored and analyzed how the MOG effects can reflect the plasma medium providing the same values of the total magnification of images.
Highlights
We have investigated weak gravitational lensing properties of Schwarzcshild-modified gravity (MOG) black holes immersed in a plasma medium
In this paper we have focused on study the effects of MOG model together with the plasma medium on the photon deflection angle
We have obtained that the effect of negative values of the MOG parameter to the weak gravitational lensing is weaker than the effect of positive MOG parameter
Summary
The proposed new theory has a solution describing the non-rotating and rotating black holes [2]. Our recent paper has been devoted to study the magnetized particle motion around MOG black hole in the presence of magnetic field [17]. The image of the supermassive black hole is obtained using the Event Horizon Telescope (EHT) based on the very large interferometry (VLBI) technique This discovery opens a new window to study gravity in a strong field regime near the compact object and to test the theories of gravity. We plan to study the effect of MOG corrections on the gravitational lensing near the compact object in the presence of plasma. The brightness of the image source due to gravitational lensing around MOG black hole in the presence of plasma is considered in Sect.
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