Bianchi type-I cosmological model in the scale covariant theory

Abstract

The author derives Bianchi type-I cosmological models in the scale covariant theory. Raychaudhuri type equations are written and it is pointed out that a big bang type of singularity may not always occur, in contrast to the general relativistic Bianchi type-I model. The behaviour of the solutions near the initial singularity, when it occurs, is discussed, as is that at late stages.