Abstract
In this study, we mainly focus our attention on discussing exact solutions of the Dirac equation in a topologically trivial Gödel-type space–time in the framework of rainbow gravity (RG). On this purpose, we obtain exact analytical solutions and the corresponding energy spectrum of the Dirac particles for the considered cosmological model. In a further step, we scrutinize the results by considering rainbow scenarios and evaluate the corresponding energy spectra from a graphical perspective. We investigate how the energy spectrum is altered by rainbow scenarios compared with the solutions obtained with the usual scenario of general relativity theory (GRT).
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