A Cosmological Model with Dark Spinor Source

Abstract

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 $$ g_{μν}=\bar R^2(1-δ\cos t)^2\diag(1,-1,-\sin^2r ,-\sin^2r \sin^2θ), $$ with $\bar{R}=(1\sim 2)\times 10^{12}$ light year, and $\delta =0.96\sim 0.99$. The present time is about $t\sim 18^{\circ }$.

13 pages, no figure, to appear in IJMPA

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• Spinor Dark Energy and Cosmological Coincidence Problem
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• Gravitational lens optical scalars in terms of energy-momentum distributions
• Fermions in a Walecka-type cosmology
• Space-time evolution induced by spinor fields with canonical and non-canonical kinetic terms
• Accelerating and decelerating cosmology from spinor and scalar fields non-minimally coupled with f(R) gravity