Supersymmetry of FRW barotropic cosmologies

TL;DR

This paper applies nonrelativistic supersymmetry to simplify and classify barotropic FRW cosmologies, introducing a coupling parameter that models dissipative effects on the universe's evolution.

Contribution

It introduces a supersymmetric framework for FRW cosmologies and incorporates a coupling parameter to model dissipation, extending traditional models.

Findings

Reduced FRW equations to harmonic oscillator form

Classified solutions into bosonic and fermionic types

Introduced a coupling parameter K for dissipative effects

Abstract

Barotropic FRW cosmologies are presented from the standpoint of nonrelativistic supersymmetry. First, we reduce the barotropic FRW system of differential equations to simple harmonic oscillator differential equations. Employing the factorization procedure, the solutions of the latter equations are divided into the two classes of bosonic (nonsingular) and fermionic (singular) cosmological solutions. We next introduce a coupling parameter denoted by K between the two classes of solutions and obtain barotropic cosmologies with dissipative features acting on the scale factors and spatial curvature of the universe. The K-extended FRW equations in comoving time are presented in explicit form in the low coupling regime. The standard barotropic FRW cosmologies correspond to the dissipationless limit K =0