标题： 具边界引力的协变相空间 显示英文标题

标题： The Covariant Phase Space of Gravity with Boundaries

摘要： 本论文研究了在协变相空间程序框架下，流形具有类时边界的三种引力场理论的度规和四重态表述。 利用最近发展起来的相关双复形方法，我们探讨了与每个作用量原理相关的解空间和预辛结构，并分析了它们之间的等价性。 通过这种方式，相关双复形超越了传统的协变相空间方法，后者仅适用于无边界场论。 显示英文摘要

摘要： This thesis investigates how the metric and tetrad formulations of three gravitational field theories in manifolds with timelike boundaries within the covariant phase space program. With the recently developed relative bicomplex framework, we explore the space of solutions and presymplectic structures associated with each action principle and analyse their equivalence. In this way, the relative bicomplex surpasses traditional covariant phase space methods, which are only suited for boundary-free field theories.