The theory of gravitational radiation and black holes

这篇论文将涉及到理解引力辐射的数学性质，特别是与涉及黑洞的过程有关的数学性质。这是天文学和爱因斯坦方程的PDE分析的重要发展的中心。以前以这种方式发现的重要效应包括所谓的克里斯托杜鲁记忆效应。这篇论文将在黑洞背景下研究这种效应，以及关于引力塌缩动力学的更一般问题。

The thesis will concern understanding the mathematical properties of gravitational radiation in particular in relation to processes involving black holes. This is at the centre of important developments in astronomy and in the pde analysis of the Einstein equations. Important effects discovered previously in this way include the so-called Christodoulou memory effect. The thesis will study this effect in the black hole context as well as more general questions regarding the dynamics of gravitational collapse.