Weak gravitational lensing and shadow of a GUP-modified Schwarzschild black hole in the presence of plasma

TL;DR

This paper investigates the weak gravitational lensing and shadow of a GUP-modified Schwarzschild black hole in plasma, using observational data to constrain the model parameters and analyze lensing effects near supermassive black holes.

Contribution

It introduces a GUP-corrected Schwarzschild black hole model and analyzes its lensing and shadow properties in plasma, connecting theoretical predictions with observational data from EHT.

Findings

Constrained GUP parameter using EHT data for M87* and Sgr A*

Analyzed shadow radius and lensing effects in plasma environment

Calculated magnification and image positions for black hole sources

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 $\epsilon$ 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*.