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

Abstract

In this paper, the Gödel-type space-times have been considered. We are interested in the investigation of relativistic free bosons in the Gödel-type space-times. Therefore, the Klein–Gordon equation considering the Gödel-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 Gödel-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.