SUPERSYMMETRY OF FRW BAROTROPIC COSMOLOGIES

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. Comoving FRW barotropy Barotropic FRW cosmologies in comoving time t obey the Einstein-Friedmann dynamical equations for the scale factor a(t) of the universe supplemented by the (barotropic) equation of state of the cosmological fluid ä a