Cosmological Application of the New General Relativity

TL;DR

This paper applies the new general relativity theory to cosmological models, deriving solutions for different geometric structures and analyzing their cosmological parameters in comparison with other theories.

Contribution

It introduces new cosmological models based on the new general relativity framework, expanding understanding of its implications in cosmology.

Findings

Derived a family of cosmological models with two parameters.

Simplified models involving only one parameter.

Compared cosmological parameters with other field theories.

Abstract

The field equations of the new general relativity constructed by Hayashi and Shirafuji (1979), have been applied to two different geometric structures, given by Robertson (1932), in the domain of cosmology. In the first application a family of models, involving two of the parameters characterizing the field equations of the new general relativity, is obtained. In the second application the models obtained are found to involve one parameter only. The cosmological parameters in both applications are calculated and some cosmological problems are discussed in comparison with the corresponding results of other field theories.