Research On The Electromagnetic Perturbation And Particle Orbital Motion In Modified Black Hole Spacetimes

Quasinormal modes of black holes are the “characteristic sounds” of black holes.And we can learn more about the properties of black holes by studying them.On the other hand,the particle motion in curved space-time is totally different from the classical theory,therefore,it is of great theoretical value to study the motion.As a result,the research on the perturbations of black holes and the particle orbital motion is getting more and more attention.This paper mainly studies the following aspects:1.The sixth order WKB approach is used to study the quasinormal modes of electromagnetic perturbation in the space-time of the quantum-corrected Schwarzschild black hole.If there is "quantum fluctuation" phenomenon in black hole space-time,the metric should be corrected.Considering the electromagnetic field in the space-time of the black hole,the perturbation equation of electromagnetic field is obtained.It is found that as the quantum correction parameter a becomes larger,the attenuation velocity of the electromagnetic field will decrease.2.The orbital dynamics of particles in the quantum-corrected Schwarzschild black hole space-time are studied by phase plane analysis method.After analyzing the effective potential curve and phase plane of the experimental particle,this paper discusses how the energy and angular momentum of the particle and the quantum correction parameters affect the orbital motion of the particle.3.The particle orbital motion in the modified Reissner-Nordstr?m black hole space-time is studied.By solving the Lagrange equation,the equation of motion of general relativity in space-time of the black hole are obtained.We investigate the effect of the energy and angular momentum of particles,the black hole charge and the modified parameter ? on the types and stability of the orbital motion.