Using The Quasi-normal Scale Of Black Holes To Test The Generalized Uncertainty Principl

Black holes are considered to be one of the greatest novelties resulting from Einstein’s principle of general relativity.To understand more fully the nature of black holes,physicists would like to investigate various black hole resolutions.So far,gravitational waves generated by the association of black holes with neutron stars have been successfully detected,which is vital for the research of black holes,that is,we can have a better knowledge of the properties regarding the event horizon of these black holes by observing the gravitational waves.The gravitational waves generated by a number of dense bodies make echoes while propagating,allowing the echoes to be inextricably associated with the intrinsic characteristics in dense bodies,and one uses this signal to analyze the unique properties in dense bodies.The black hole perturbation is part of the initiative to determine the stability through numerical simulation of the physical properties for black holes.It can be seen that the perturbation plays a crucial role in the investigation of the physical properties a black hole.In this paper,we focus on Schwarzschild black holes that are quantum-corrected under scalar and electromagnetic fields,and analyze the effect of the correction term to the potential function and the quasinormal mode.There are three main stages in the perturbation process of a black hole,namely,the initial stage,the quasinormal mode stage,and the late trailing stage,in which the quasinormal mode period can obtain the frequency of the black hole perturbation,which we regard as the "characteristic sound" of the black hole.We use the WKB approximation with finite difference method to numerically simulate the corrected black hole quasinormal mode and analyze its variation law.We find that the effective potential and quasinormal mode are related to the quantum correction term and are not affected by the initial conditions,and that the trend of the quasinormal mode is related to the effective potential.Also,the effective potential and quasinormal mode of the scalar field are larger than those of the electromagnetic field.