论文标题

一般电触电引力,均质和各向同性宇宙学

Homogeneous and isotropic cosmology in general teleparallel gravity

论文作者

Heisenberg, Lavinia, Hohmann, Manuel, Kuhn, Simon

论文摘要

我们得出了最一般的均质和各向同性电触电几何形状,该几何形状由公制和平坦的仿射连接定义。我们发现,连接解决方​​案有五个分支,这些分支通过多个限制连接,并且可以进一步限于无扭转和公制兼容的情况。我们将结果应用于几类的一般远程重力理论,并为所有五个分支提供了宇宙学动力学。我们的结果表明,对于这些理论的大型子类,动力学将动力学降低为密切相关的度量或对称触发性重力理论,而对于其他子类,最多两个新的标量自由度的自由度都参与了宇宙学动力学。

We derive the most general homogeneous and isotropic teleparallel geometries, defined by a metric and a flat, affine connection. We find that there are five branches of connection solutions, which are connected via several limits, and can further be restricted to the torsion-free and metric-compatible cases. We apply our results to several classes of general teleparallel gravity theories and derive their cosmological dynamics for all five branches. Our results show that for large subclasses of these theories the dynamics reduce to that of closely related metric or symmetric teleparallel gravity theories, while for other subclasses up to two new scalar degrees of freedom participate in the cosmological dynamics.

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