Quantum-corrected scattering and absorption of a Schwarzschild black hole with GUP
M. A. Anacleto, F. A. Brito, J. A. V. Campos, E. Passos
Abstract
In this paper we have implemented quantum corrections for the Schwarzschild black hole metric using the generalized uncertainty principle (GUP) in order to investigate the scattering process. We mainly compute, at the low energy limit, the differential scattering and absorption cross section by using the partial wave method. We determine the phase shift analytically and verify that these quantities are modified by the GUP. We found that due to the quantum corrections from the GUP the absorption is not zero as the mass parameter goes to zero. A numerical analysis has also been performed for arbitrary frequencies.
Topics & Concepts
Invertible matrixPhysicsPrime (order theory)Schwarzschild metricTorsion (gastropod)ScatteringQuantum mechanicsQuantumGroup (periodic table)Ring (chemistry)Pure mathematicsMathematicsMathematical physicsCombinatoricsChemistryOrganic chemistryMedicineSurgeryGeneral relativityBlack Holes and Theoretical PhysicsNoncommutative and Quantum Gravity TheoriesHomotopy and Cohomology in Algebraic Topology