Weak gravitational lensing and shadow of a GUP-modified Schwarzschild black hole in the presence of plasma
Husanboy HoshimovFergana State University, Murabbiylar St 19, Fergana 150100, UzbekistanOdil YunusovInstitute of Theoretical Physics, National University of Uzbekistan, Tashkent 100174, UzbekistanFarruh AtamurotovInstitute of Fundamental and Applied Research, National Research University TIIAME, Kori Niyoziy 39, Tashkent 100000, UzbekistanMubasher JamilSchool of Natural Sciences, National University of Sciences and Technology, Islamabad, 44000, PakistanAhmadjon AbdujabbarovUniversity of Tashkent for Applied Sciences, Str. Gavhar 1, Tashkent 100149, Uzbekistan
ABI
Abstract
In this work, we have studied weak gravitational lensing effect around black hole and determine shadow radius in GUP-corrected-Schwarzschild spacetime (S-GUP) in presence of plasma environment. We started with orbits of photons around black hole in S-GUP. In addition, we have studied shadow and gravitational weak lensing around such black hole. By using observational data of EHT project for the M87* and Sgr A*, we have got constrains parameter $ε$ in S-GUP gravity. Further to make a connection with observations, we investigate magnification and position of images formed as a result of lensing, and finally weak deflection angle and magnification for sources near M87* and Sgr A*.
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