Aharonov-Bohm effect on a generalized Klein-Gordon oscillator with uniform magnetic field in a spinning cosmic string space-time

In this work, we study a generalized Klein-Gordon oscillator field on the background space-time induced by spinning cosmic string coupled to a homogeneous magnetic field including a magnetic quantum flux. We solve the generalized Klein-Gordon oscillator equation in the considered system and obtain the energy eigenvalues and eignfunctions and analyze a relativistic analogue of the Aharonov-Bohm effect.