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

Abstract

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 Pösch-Teller method.

Keywords

• Phase shift
• Generalized uncertainty principle
• Black hole
• Quasinormal mode
• Pösch-Teller