On de Sitter gravitationally from the spin-torsion primordial density

TL;DR

This paper investigates fluctuations in de Sitter spacetime within Einstein-Cartan theory, linking primordial density and spin-torsion fluctuations to COBE data, and finds Einstein-de Sitter solutions are unstable.

Contribution

It introduces a method to derive matter and spin-torsion density fluctuations from Einstein-Cartan equations and COBE data, highlighting the instability of Einstein-de Sitter solutions.

Findings

Fluctuations are expressed in terms of primordial density and spin-torsion density.

Einstein-de Sitter solutions are shown to be unstable.

Spin-torsion density fluctuations are computed from observational data.

Abstract

Fluctuations on de Sitter solution of Einstein-Cartan field equations are obtained in terms of the matter density primordial density fluctuations and spin-torsion density and matter density fluctuations obtained from COBE data. Einstein-de Sitter solution is shown to be unstable even in the absence of torsion.The spin-torsion density fluctuation is simply computed from the Einstein-Cartan equations and from COBE data.