Total Energy of the Bianchi Type I Universes

Using the symmetric energy-momentum complexes of Landau and Lifshitz,Papapetrou, and Weinberg, we obtain the energy of the universe in anisotropicBianchi type I cosmological models. The energy (due to matter plus field) isfound to be zero and this agrees with a previous result of Banerjee and Sen, whoinvestigated this problem using the Einstein energy-momentum complex. Ourresult supports the importance of the energy-momentum complexes andcontradicts the prevailing folklore that different energy-momentum complexescould give different and hence unacceptable energy distribution in a givenspace-time. The result that the total energy of the universe in these models is zerosupports the viewpoint of Tryon. Rosen computed the total energy of the closedhomogeneous isotropic universe and found it to be zero, which agrees with thestudies of Tryon.