Some Examples on Equivalence of Tolman and Einstein Energy Momentum Complexes in General Relativity

Einsten Energy of Momentum Complexes

Abstract

Through the lens of Tolman and Einstein energy momentum formulations, we conduct a comprehensive analysis of the energy momentum localization in different space times (diagonal and non- diagonal). We obtained that the two formulations (Tolman and Einstein) provide the same results for these space times (diagonal and non-diagonal). However, we further obtained that the super-potentials of Tolman and Einstein are different in general relativity for all diagonal and non-diagonal space times.