Energy distributions of Bianchi type-$VI_{h}$ Universe in general relativity and teleparallel gravity

摘要

In this paper, we have investigated the energy and momentum density distributions for the inhomogeneous generalizations of homogeneous Bianchi type-$VI_{h}$ metric with Einstein, Bergmanna€“Thomson, Landaua€“Lifshitz,Papapetrou, Tolman and M$phi$ller prescriptions in general relativity (GR) and teleparallel gravity (TG). We have found exactly the same results for Einstein, Bergmanna€“Thomson and Landaua€“Lifshitz energya€“momentum distributions in Bianchi type-$VI_{h}$ metric for different gravitation theories. The energya€“momentum distributions of the Bianchi type-$VI_{h}$ metric are found to be zero for $h$ = a?’1 in GR and TG. However, our results agree with Tripathy et al, Tryon, Rosen and Ayg??n et al.