In this paper, we have presented a cosmological model where a phantom scalar field is minimally coupled to dark matter component. Noether symmetry method was applied both to investigate the cosmological solution and to find out what is the form of the potential of scalar field and the unknown function in the considered model. By using this method, these forms are resulted as trigonometric functions. Also, the obtained cosmological solutions are compatible with observations describing the accelerated expansion of the Universe. Furthermore, it turns out that the effective equation of state parameter in the model can cross the phantom divide line.

中文翻译：

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通过 Noether 对称方法交互幻象宇宙学

在本文中，我们提出了一个宇宙模型，其中幻象标量场与暗物质成分的耦合最小。应用诺特对称方法来研究宇宙学解，并找出所考虑模型中标量场势和未知函数的形式。通过使用这种方法，这些形式被导出为三角函数。此外，获得的宇宙学解与描述宇宙加速膨胀的观测结果相一致。此外，结果表明模型中的有效状态方程参数可以跨越虚线。