Energy of the universe in Bianchi-type I models in Møller’s tetrad theory of gravity

Abstract

Abstract. In this paper, using the energy definition in Møller's tetrad theory of gravity we calculate the total energy of the universe in Bianchi-type I cosmological models which includes both the matter and gravitational fields. The total energy is found to be zero and this result agrees with a previous works of Banerjee-Sen who investigated this problem using the general relativity version of the Einstein energy-momentum complex and Xulu who investigated same problem using the general relativity versions of the Landau-lifshitz, Papapetrou and Weinberg's energy-momentum complexes. The result that total energy of the universe in Bianchi-type I universes is zero supports the viewpoint of Tryon.

Higher-dimensional energy–momentum problem for Bianchi types V and I universes in gravitation theories

“…If we solve total energy-momentum definitions for N -dimensional Bianchi type I universe in GR and TG, we found that all energy and momentum definitions have vanished because the energy contributions from gravitational field and the matter inside an arbitrary two-surface cancel each other [11], also we could say that GR and TG are equivalent theories. These results agree with [50][51][52]24]. Also these are seen in Tables 3 and 4.…”