Solutions of relativistic wave equations in a curved space-time

In this thesis, the relativistic quantum dynamics of spin-0 particles in a chiral conical space-time geometry produced by the cosmic string are investigated by the Klein Gordon oscillator, the Duffin-Kemmer-Petiau (DKP) and the DKP oscillator equations. In addition, the interaction of a uniform magnetic field with the Klein Gordon and the DKP oscillators is also studied. By using analytical methods, the energy eigenvalues and corresponding wave functions of these systems are obtained. It is shown that energy levels and wave functions of the particle in these systems depend on the parameters characterizing the geometry of space-time. Because of these dependencies, there also exists a gravitational effect similar to the Aharonov-Bohm effect in wave functions that are the solution of Klein Gordon equation.