Numerical Studies of Inhomogeneous Cosmological Space-Times

计算宇宙学的这个项目涉及在标准线性宇宙摄动理论有其局限性的区域（即超视界尺度或高度非线性物质结构坍缩）中的非齐次宇宙时空的研究。拉古纳教授的方法将利用高性能计算来解决控制宇宙动力学的爱因斯坦方程的全部非线性集。接下来将对光在团块宇宙中的传播进行研究。在这里，重点将放在两个主题：弱引力透镜和宇宙微波背景辐射的极化。这项研究是及时的，并补充了该领域以前的研究，这些研究很少利用现代引力理论的全部细节。现在有几个不同的小组正在进行CMB极化实验，理解他们的结果的含义将是很重要的。

This project in computational cosmology deals with studies of inhomogeneous cosmological space-times in regions where the standard linear theory of cosmological perturbations has its limitations, namely super-horizon scales or highly non- linear collapse of matter structures. Prof. Laguna's approach will utilize high performance computing to solve the full non-linear set of Einstein's equations governing cosmological dynamics. This will be followed up with investigations of the propagation of light in clumpy universes. Here, the emphasis will be on two topics: weak gravitational lensing and polarization of the cosmic microwave background (CMB) radiation. This research is timely and complementary to previous research in this area that makes little use of the full details of modern gravitation theory. CMB polarization experiments are now being undertaken by several different groups, and it will be important to understand the implications of their results.