Criteria for de Sitter inflation in Einstein-Cartan cosmology and COBE data

TL;DR

This paper establishes criteria for de Sitter inflation in Einstein-Cartan cosmology with dilaton fields, linking matter and spin-density perturbations, and relates spin-torsion density to temperature using COBE data.

Contribution

It introduces specific criteria for de Sitter inflation in Einstein-Cartan cosmology and connects spin-density perturbations to matter density fluctuations based on observational data.

Findings

Linear relationship between spin-torsion density and Universe temperature.

Criteria for de Sitter inflation with dilaton fields in torsion-inclusive cosmology.

COBE data supports the connection between spin-torsion and thermal properties.

Abstract

Criteria for the existence of de Sitter inflation with dilaton fields in four-dimensional space-times with torsion is discussed.The relation between matter density perturbation and the spin-density perturbation is stablished based on this criteria.From COBE data it is shown that there is a linear relationship between the spin-torsion density and temperature of the Universe for the case where matter density dominates the kinetic part of dilaton fields.