Mathematical Sciences: Differential Geometry of Spacetimes

9310477哈里斯这项研究涉及广义相对论中类空超曲面的研究。 这些表面可以根据给定的一类观察者在给定的时刻代表物理宇宙。 研究者希望调查是否所有这样的表面在回火时空拓扑相同，是时空不变的。 此外，他打算研究奇点，在那里时空几何崩溃的曲率奇点。 从伪黎曼几何的技术将被利用。 这项研究对于从理论上理解“黑洞”现象非常有意义。

9310477 Harris The research entails the study of spacelike hypersurfaces in general relativity theory. These are surfaces which can represent the physical universe at a given instant of time according to a given class of observers. The investigator wishes to investigate whether all such surfaces in tempered spacetimes are topologically the same and are observer-time invariant. Also, he he intends studying singular points where the spacetime geometry collapses in terms of curvature singularities. Techniques from pseudo-Riemannian geometry will be exploited. This research is very pertinent to the theoretical understanding of `black-hole' phenomena.