A survey on the Klein-Gordon equation in the Godel-type space-times

Abstract

In this paper, the Godel-type space-times have been considered. We are interested in the investigation of relativistic free bosons in the Godel-type space-times. Therefore, the Klein-Gordon equation considering the Godel-type space-times has been constructed in a general manner. Then to accomplish our goal, two well-known special cases have been considered for the unknown function in the tensor metric of the Godel-type space-times. The explicit forms of the wave functions for each case as well as the energy eigenvalue equations have been derived in detail.