Supersymmetry of FRW barotropic cosmologies

Details Supersymmetry of FRW barotropic cosmologies Supersymmetry of FRW barotropic cosmologies

2005-10-02

arxiv.org/abs/gr-qc/0510004v1

Int.J.Theor.Phys. 45 (2006) 1191-1196

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

6 pages

Scientific paper

10.1007/s10773-006-9123-2

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

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