Numerical studies of singularities and black holes

这个项目是关于物体的引力坍塌形成黑洞的过程。该项目特别关注在黑洞内部重力极强的区域发生的事情。该项目使用的方法是数值模拟：模拟描述引力坍塌和黑洞形成的广义相对论方程的计算机程序。特别是，我将试图找出极强引力场的详细行为。我还会试着看看在崩塌之后是否会有重新膨胀，如果是的话，这种过程是否可以解释我们宇宙开始时的大爆炸。这项工作涉及一个基本的物理问题，因此具有内在的广泛的学术兴趣。我已经为普通读者写了一本关于黑洞和暗物质的书，并试图在这本书中表达对这些主题研究固有的兴奋。此外，为引力问题开发的计算机方法可以在其他科学领域得到更广泛的应用。

This project is on the process of gravitational collapse of an object to form a black hole. In particular, the project is concerned with what happens in the regions of extremely strong gravity inside the black hole. The method used in the project is numerical simulation: computer programs that simulate the equations of general relativity that describe gravitational collapse and black hole formation. In particular, I will try to find out the detailed behavior of the extremely strong gravitational field. I will also try to see whether the collapse can be followed by a re-expansion, and if so whether a process of this sort can account for the big bang explosion in which our universe started. This work concerns a fundamental physical question and thus has intrinsic broad intellectual interest. I have written a book on black holes and dark matter for a general audience and have tried in that book to express the excitement inherent in research on these topics. In addition, the computer methods developed for gravitational problems can have a broader application in other areas of science.