Within the scope of a FRW cosmological model we have studied the role of spinor field in the evolution of the Universe when it is non-minimally coupled to the gravitational one. We considered a few types of nonlinearity. It was found that if the spinor field nonlinearity describes an ordinary matter such as radiation, the presence of non-minimality becomes essential and leads to the rapid expansion of the Universe, whereas if the spinor field nonlinearity describes a dark energy, the evolution of the Universe is dominated by it and the difference between the minimal and non-minimally coupled cases becomes almost indistinguishable. Hence it should be argued that non-minimal coupling can be viewed as an alternative way to describe the accelerated mode of expansion of the Universe.

中文翻译：

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FRW宇宙学中的非最小耦合非线性旋量场

在 FRW 宇宙学模型的范围内，我们研究了旋量场在与引力场非最小耦合时在宇宙演化中的作用。我们考虑了几种类型的非线性。研究发现，如果自旋场非线性描述了一种普通物质，例如辐射，则非极小性的存在变得必不可少并导致宇宙的快速膨胀，而如果自旋场非线性描述了暗能量，则非极小性的存在将导致宇宙的快速膨胀。宇宙由它主导，极小和非极小耦合情况之间的差异变得几乎无法区分。因此，应该争论的是，非最小耦合可以被视为描述宇宙加速膨胀模式的另一种方式。