Energy distributions in Szekeres type I and II space-times

In this study, in context of general relativity we consider Einstein, Bergmann-Thomson, Moller and Landau-Lifshitz energy-momentum definitions and we compute the total energy distribution (due to matter and fields including gravitation) of the universe based on Szekeres class I and class II space-times. We show that Einstein and Bergmann-Thomson definitions of the energy-momentum complexes give the same results, while Moller's and Landau-Lifshitz's energy-momentum definition does not provide same results for Szekeres class II space. The definitions of Einstein, Bergmann-Thomson and Moller definitions of the energy-momentum complexes give similar results in Szekeres class I space-time.