我們在這篇論文裡,討論在不同的球對稱時空下的馬克斯威方程組。在極大對稱的時空裡,我們找出精確解;對於其他的球對稱時空,我們求助於WKB 的近似方法去找出馬克斯威方程組的解。並根據其適當的邊界條件,我們得以在不同的問題中得到散射震,束縛能量,以及准正則模的頻率。 In this thesis, we discuss the Maxwell equations in different spherically symmetric spacetimes. In maximally symmetric spacetime, we find exact solutions; for the other spacetimes, we resort to the WKB approximation method to find solutions to the Maxwell equations. We obtain scattering amplitudes, bound state energies, and quasi-normal mode frequencies according to the appropriate boundary conditions in the problem..