Abstract
Black holes oscillate with quasinormal modes (QNM), characterized by its mass, charge, and angular momentum, under perturbation. We explore the possibility of resonance through the excitation of these QNM. In this thesis, we study the perturbation of the scalar field of a blackhole using the particle perturbation approximation (Regge-Wheeler equation) with a simple potential (Truncated Dipole Potential). The motivation behind using this potential is that it behaves similar to the Schwarzschild curvature potential outside the location of the circular photon orbit (it truncates immediately inside that location) and is analytically tractable. We solve the scalar wave equation analytically using Fourier Domain Green Function with the choice of a harmonic source as our perturbator. We find that for a particular choice of the angular frequency of the source (equal to the real/oscillatory part of the black hole quasinormal frequency), one can observe resonance for extreme Kerr black holes (spin 0.99). For lower spins and Schwarzschild black holes, no resonance is found.