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.
Similar content being viewed by others
References
Cooper, F., Khare, A., Musto, R. and Wipf, A. (1988). Supersymmetry and the Dirac equation. Annals of Physics 187, 1.
Faraoni, V. (1999). Solving for the dynamics of the universe. American Journal of Physics 67, 732, physics/9901006.
Hughes, R. J., Alan Kostelecký, V. and Nieto, M. M. (1986). Susy quantum mechanics in a first-order Dirac equation. Physical Review D 34, 1100.
Nogami, Y. and Toyama, F. M. (1993). Supersymmetry aspects of the Dirac equation in one dimension with a Lorentz scalar potential. Physical Review A 47, 1708.
Rosu, H. C. (2000). Darboux class of cosmological fluids with time-dependent adiabatic indices. Modern Physics Letters A 15, 979, gr-qc/0003108.
Rosu, H. C., Cornejo-Pérez, O., López-Sandoval, R. (2004). Classical harmonic oscillator with Dirac-like parameters and possible applications. Journal of Physics A 37, 11699, math-ph/0402065.
Rosu, H. C. and López-Sandoval, R. (2004). Barotropic FRW cosmologies with a Dirac-like parameter. Modern Physics Letters A 19, 1529, gr-qc/0403045.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Rosu, H.C., Ojeda-May, P. Supersymmetry of FRW Barotropic Cosmologies. Int J Theor Phys 45, 1152–1157 (2006). https://doi.org/10.1007/s10773-006-9123-2
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10773-006-9123-2