Abstract
The Klein-Gordon equation under the influence of the gravitational field produced by a topology such as the Som-Raychaudhuri spacetime and the Klein-Gordon oscillator in the presence of a uniform magnetic field as well as without magnetic field are investigated. Moreover, the Klein-Gordon equation with a cylindrically symmetric scalar potential in the background spacetime is also studied. By using the quasi-analytical ansatz approach, we obtain the energy eigenvalues and corresponding wave functions of these systems. They show that the energy levels of the considered physical systems depend explicitly on the angular deficit α and the vorticity parameter Ω which characterize the global structure of the metric in the Som-Raychaudhuri spacetime.
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