We propose a gravitational model which allows the independent dynamical behaviour of the torsion and nonmetricity fields to be displayed in the framework of Metric-Affine gauge theory of gravity. For this task, we derive a new exact black hole solution referred to this model which extends the role of torsion of the main well-known exact solutions based on Weyl-Cartan geometry and constitutes the first known isolated gravitational system characterized by a metric tensor with independent spin and dilation charges.

中文翻译：

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具有独立动态扭转和非度量域的新模型

我们提出了一种引力模型，该模型允许在公制仿射规范引力理论的框架中显示扭转和非度量场的独立动力学行为。对于这项任务，我们推导出了一个新的精确黑洞解，参考这个模型，它扩展了基于 Weyl-Cartan 几何的主要著名精确解的扭转作用，并构成了第一个已知的孤立引力系统，其特征是度量张量独立的自旋和膨胀电荷。