In this paper, we have investigated a spatially homogeneous and isotropic quintessence Universe in Lyra geometry that fits good with latest observations. We consider that the current Universe is filled with the binary mixture of dust and dark energy. We observe that there is a signature flipping from early decelerating to the present accelerating phase due to the appearance of dark energy which is in good agreement with the current observations. It has also been found that the displacement vector \(\beta \) is not responsible for late time acceleration of the Universe. Some physical and geometrical properties of the Universe are also discussed.

中文翻译：

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天琴座几何中以黑暗能量为主的宇宙

在本文中，我们研究了天琴几何中一个空间均匀且各向同性的典型宇宙，它与最新的观测结果非常吻合。我们认为当前的宇宙充满了尘埃和暗能量的二元混合物。我们观察到，由于暗能量的出现，信号从早期减速阶段过渡到当前的加速阶段，这与当前的观察结果非常吻合。还已经发现，位移矢量\（\ beta \）不负责宇宙的后期加速。还讨论了宇宙的一些物理和几何特性。