De Sitter Model in the Presence of Scalar Fields. III. (comparison of the accelerated expansion of a model universe in various JBD representations)

In this part of this paper a modified Jordan theory of gravitation is used as a basis for examining the de Sitter cosmological model in the case of a self-consistent scalar field in the presence of a cosmological scalar φ = Λy / y₀ . Under a conformal transformation ${{\widetilde{g}}_{{\mu v}}}=\left( {{y \left/ {{{y_0}}} \right.}} \right){g_{{\mu v}}}$ , this variant of the theory develops into the Einstein theory with a source for an independent scalar field used to study the de Sitter model in the first part of this paper; thus, there is some interest in comparing the parameters of the cosmological models in these two representations of the Jordan theory of gravitation. The results show that the influence of the scalar field depends on the dimensionless parameter ζ . It is confirmed with a specific example that the scalar field becomes stronger as ζ is reduced.