论文标题
公制的重力理论：基础和新见解
Metric-Affine Gauge theories of gravity: Foundations and new insights
论文作者
论文摘要
该论文涵盖了公制性重力进行的几个发展。该替代框架通过考虑与度量标准引起的更通用的联系（即任意扭转和非公称参与动力学）更一般的联系来扩展一般相对论。首先，我们修改了公制式框架的一些数学方面，Lovelock和其他不变性的方式扩展到了量规形式主义。然后，我们专注于公制的PP波波几何形状，并探索这种类型的二次公制拉格朗日（具有偶数不变的）的解决方案。最后，在手稿的最后一部分中，我们从更领域理论的观点分析了通过保证其自由度的稳定性，从而使一般相对性的不同扩展的生存能力。
This thesis covers several developments performed in metric-affine gravity. This alternative framework extends General Relativity by considering a more general connection than the one induced by the metric (i.e., arbitrary torsion and nonmetricity participate in the dynamics). We start by revising some mathematical aspects of the metric-affine framework, the way Lovelock and other invariants are extended to it and the construction of a gauge formalism. Then we focus on metric-affine pp-wave geometries and explore solutions of this type for the quadratic metric-affine Lagrangian (with even-parity invariants). Finally, in the last part of the manuscript, we analyze from a more field-theoretical point of view the viability of different extensions of General Relativity by guaranteeing the stability of their degrees of freedom.
