Nonlinear Spinors as the Candidate of Dark Matter

Details Nonlinear Spinors as the Candidate of Dark Matter Nonlinear Spinors as the Candidate of Dark Matter

2008-06-28

arxiv.org/abs/0806.4649v2

Physics

General Physics

12 pages, no figures

Scientific paper

In order to explain the present accelerating expansion of the universe and the related dark energy with negative pressure, the scalar model and cosmological factor have been widely studied. Relatively, the spinor field is unreasonably overlooked. Considering the facts that all fermions are described by spinors and the uniform scalar field can hardly explain the galactic structure, so the dark spinors may be partially responsible for dark matter. In this paper, we give a detailed investigation on the state functions of spinors, such as the mass-energy density and equation of state, in the context of cosmology. Here the spinors are quantized and identified by nonlinear potentials, and their state functions are derived from standard statistical and variation principles. The results provide us some interesting consequences and new insights: (I) The negative pressure exists, and the equation of state can be designed by adjusting the nonlinear potential. (II) The initial singularity of the space-time can be removed by the nonlinear potential. (III) A short period of inflation exists and in this period the scale factor inflates much faster than the exponential function.

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