标题： 比较扩展度规仿射引力理论中的通胀模型 显示英文标题

标题： Comparing Inflationary Models in Extended Metric-Affine Theories of Gravity

摘要： 我们研究慢滚暴胀作为度规仿射引力理论中的共同特征。 特别是，我们考虑基于不同几何不变量的扩展度规、平移规范和对称平移规范引力理论，讨论它们的相似性和差异性。 对每个模型的分析采用两种方法。 首先，我们关注{\it 潜在慢滚动方法}，通过研究在爱因斯坦框架中与所考虑的引力理论相关的扩展模型的不同形式的重构势能。 其次，我们研究在乔丹框架中与特定扩展模型相关的某些传统暴胀势能的{\it 哈勃慢滚动方法}。 我们比较所有结果与普朗克2018和BICEP2/Keck阵列卫星提供的宇宙微波背景各向异性观测结果，以找到模型参数空间的观测约束以及它们从光谱参数中的预测。 最后，我们尝试使用获得的暴胀结果对三种考虑的修改引力进行定性比较。 目的是原则上选择能够区分同时模型的宇宙学特征，以指出根据几何不变量的引力表示，哪种更适用于早期宇宙动力学。 显示英文摘要

摘要： We study slow-roll inflation as a common feature in Metric-affine Theories of Gravity. In particular, we take into account extended metric, teleparallel and symmetric-teleparallel theories of gravity, based on different geometric invariants, discussing analogies and differences. The analysis for each model is performed in two approaches. First, we focus on the {\it potential-slow-roll approach} by studying the reconstructed potentials for different forms of the extended models related to the considered gravitational theory in the Einstein frame. Secondly, we investigate the {\it Hubble-slow-roll approach} for some conventional inflationary potentials related to the specific extended model in the Jordan frame. We compare all results with cosmic microwave background anisotropy observations coming from Planck 2018 and BICEP2/Keck array satellites in order to find the observational constraints on the parameters space of the models as well as their prediction from the spectral parameters. Eventually, we attempt to present a qualitative comparison between three classes of considered modified gravities using the obtained inflationary results. The aim is to select, in principle, cosmological signatures capable of discriminating among concurrent models in view to point out the representation of gravity, according with geometric invariants, which better addresses the early universe dynamics.