Supersymmetry of FRW barotropic cosmologies

Abstract

"Barotropic FRW cosmologies are presented from the standpoint of nonrelativis-tic supersymmetry. First, we reduce the barotropic FRW system of diferential equations to simple harmonic oscillator diferential equations. Employing the fac-torization 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 dissipa-tionless limit K = 0."