Quantum-corrected scattering of a Schwarzschild black hole with GUP effect

In this research, we find the quantum correction of the Schwarzschild black hole metric based on the generalized uncertainty principle (GUP). We assume a massless field scalar field, with an effective potential according to the GUP effect. After obtaining the effective potential numerically, we apply approximation on the effective potential to find the phase shift of the scattered wave function. Moreover, the GUP corrected reflection and transmission coefficient of scattered radial wave function are calculated with the Posch-Teller method.(c) 2023 The Author(s). Published by Elsevier B.V. This is an open access article under the CC BY license (http://creativecommons .org /licenses /by /4 .0/). Funded by SCOAP3.

Automated summary

In this research, the quantum correction of the Schwarzschild black hole metric is investigated based on the generalized uncertainty principle (GUP). A massless scalar field is assumed, with an effective potential determined by the GUP effect. The phase shift of the scattered wave function is found by approximating the effective potential, and the GUP corrected reflection and transmission coefficients of the scattered radial wave function are calculated using the Posch-Teller method.