论文标题
几何标量调整器的宇宙学解决方案，其电势由Noether对称方法确定
Cosmological Solutions for the Geometrical Scalar-Tensor with the Potential Determined by the Noether Symmetry Approach
论文作者
论文摘要
在这项工作中，我们考虑了一种比例调整理论，在该理论中，由于Palatini变化方法，时空赋予了可魏尔的整合几何结构。由于标量场具有几何性质（与非中的性质有关），因此该理论称为\ textit {几何标量tensor}。在Weyl变换的框架上，Jordan框架上的非最低耦合标量调整理论对应于爱因斯坦框架上的最小耦合的爱因斯坦 - 希尔伯特作用。标量电势是通过Noether对称方法选择的，以便获得FRW宇宙学模型的保守量。在与扩展的宇宙一致的宇宙学场景的背景下，获得和分析了精确的解决方案。在每个帧中匹配一个特定的情况，并讨论了标量场作为暗能量组件的作用。
In this work we consider a scale-tensor theory in which the space-time is endowed with a Weyl integrable geometrical structure due to the Palatini variational method. Since the scalar field has a geometrical nature (related to non-metricity), the theory is known as \textit{Geometrical Scalar-Tensor}. On the framework of Weyl transformations, a non-minimally coupled scalar-tensor theory on the Jordan frame corresponds to a minimally coupled Einstein-Hilbert action on the Einstein frame. The scalar potential is selected by the Noether symmetry approach in order to obtain conserved quantities for the FRW cosmological model. Exact solutions are obtained and analyzed in the context of the cosmological scenarios consistent with an expanding universe. A particular case is matched in each frame and the role of scalar field as a dark energy component is discussed.
