A Cosmological Model with Dark Spinor Source

Details A Cosmological Model with Dark Spinor Source A Cosmological Model with Dark Spinor Source

2006-10-29

arxiv.org/abs/gr-qc/0610147v3

Int.J.Mod.Phys.A22:4667-4678,2007

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

13 pages, no figure, to appear in IJMPA

Scientific paper

10.1142/S0217751X07037925

In this paper, we discuss the system of Friedman-Robertson-Walker metric coupling with massive nonlinear dark spinors in detail, where the thermodynamic movement of spinors is also taken into account. The results show that, the nonlinear potential of the spinor field can provide a tiny negative pressure, which resists the Universe to become singular. The solution is oscillating in time and closed in space, which approximately takes the following form $$ g_{\mu\nu}=\bar R^2(1-\delta\cos t)^2\diag(1,-1,-\sin^2r ,-\sin^2r \sin^2\theta), $$ with $\bar R= (1\sim 2)\times 10^{12}$ light year, and $\delta=0.96\sim 0.99$. The present time is about $t\sim 18^\circ$.

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