The quantum corrected Schwarzschild black hole with a linear-quadratic GUP: a comprehensive evaluation

Abstract

In this manuscript, we delve into an analytic and numerical probe of shadow with different accretion models, quasinormal modes, Hawking radiation, and gravitational lensing to study observational impacts of quantum effect introduced through linear-quadratic GUP(LQG). Our investigation reveals that the shadows of LQG-modified black holes are smaller and brighter than Schwarzschild black holes. To examine the impact of the quantum correction on the quasinormal mode, linear-quadratic GUP-modified black holes are explored under scalar andelectromagnetic field perturbation. Here, linear-quadratic GUP isused to capture quantum corrections. It is observed that theincorporation of quantum correction by linear-quadratic GUP altersthe singularity structure of the black hole. To compute thequasinormal modes of this linear-quadratic GUP-inspiredquantum-corrected black holes, we compute the effective potentialgenerated under the perturbation of scalar and electromagneticfield, and then we use the sixth-order WKB approach in conjunctionwith the appropriate numerical analysis. We find that the greybody factor decreases with the GUP parameter α implying that the probability of transmission decreases with the GUP parameter. The total power emitted by LQG modified black hole is found to be greater than that emitted by Schwarzschild black hole. Finally, we study weak gravitational lensing and make a comparison with quadratic GUP and linear GUP-modified black holes.