Research in General Relativity (Physics)

Christodoulou教授将研究Minkowski时空的全局非线性稳定性问题。这将包括对时空的全局渐近行为的完整分析，包括零超曲面的几何、最大类空超曲面以及物理量的行为。它还将包含一些黎曼几何和偏微分方程问题的解，这些问题是独立感兴趣的，具有超出手头问题的应用范围。

Professor Christodoulou will study the problem of the global nonlinear stability of Minkowski spacetime. This will include the complete analysis of the global asymptotic behavior of the spacetime, including the geometry of the null hypersurfaces, the maximal spacelike hypersurfaces as well as the behavior of physical quantities. It will also contain the solution of a number of problems in Riemannian geometry and partial differential equations which are of independent interest and have applications beyond the problem at hand.