Supersymmetric Potentials in Einstein-Cartan-Brans-Dicke Cosmology

TL;DR

This paper explores how Einstein-Cartan-Brans-Dicke gravity influences cosmological inflation, showing that spin-torsion density affects the inflationary e-folds and leads to a supersymmetric-like inflaton potential with quantum fluctuations.

Contribution

It introduces a novel supersymmetric-like inflaton potential derived from ECBD gravity, incorporating spin-torsion effects and quantum fluctuations in early universe cosmology.

Findings

Spin-torsion density decreases the number of e-folds during inflation.

Quantum fluctuations of spin may trigger the primordial universe era.

A supersymmetric-like inflaton potential emerges from ECBD gravity.

Abstract

Cosmological inflation is discussed in the realm of Einstein-Cartan-Brans-Dicke (ECBD) gravity by constructing an effective inflaton potential and computing the number of e-folds.It is shown that spin-torsion density contributes to a decrease on the number of e-folds of inflation when the ratio of spin-torsion density to matter density is aprecciable as happens in the Early Universe.Quantum fluctuations of spin and inflatons are also investigated.Our results seems to be in agreement with Palle's proposal that quantum fluctuations of spin may trigger the primordial era of the universe.The main esult of the paper is the appearence of a supersymmetric type inflaton potential from the ECBD gravity where the coefficient of the one-loop type correction is a constant spin-torsion density.