Supersymmetry of FRW barotropic cosmologies

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

arXiv comment6 pages

References in corpus (4)

• Solving for the dynamics of the universe
• Darboux class of cosmological fluids with time-dependent adiabatic indices
• Classical harmonic oscillator with Dirac-like parameters and possible applications
• Barotropic FRW cosmologies with a Dirac-like parameter

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