Topics in Numerical Relativity

9900644 Hirschmann将对轴对称引力系统的动力学进行研究，其中引力场非常强。 特别是，将研究的动力学情况下，坍缩场配置是强大到足以形成一个非常小的黑洞。 先进的数值代码将开发，以调查临界现象的黑洞形成的阈值在轴对称崩溃。 这个模型将被用来测试的稳定性，正是关键的，自相似的解决方案以前发现的球对称。 它将研究高度扭曲的标量场和引力波位形的坍缩。 它也将开始研究旋转在临界引力坍缩中的作用。 对球对称坍缩中临界现象的研究也将继续进行，这一工作将增加我们在广义相对论背景下对现实引力坍缩的理解。 它还将揭示引力场在其中起着非常重要作用的其他天体物理过程。 这种对引力的一些强场、非线性方面的更深入和更深入的理解，有可能有助于理解一些即将来自引力波探测器（如LIGO项目）的数据。

9900644 HirschmannA study will be undertaken of the dynamics of gravitating systems in axisymmetry in which the gravitational field is very strong. In particular, dynamical situations will be studied in which the collapsing field configuration is strong enough to form a very small black hole. Advanced numerical code will be developed in order to investigate critical phenomena at the threshold of black hole formation in axisymmetric collapse. This model will be used to test the stability of exactly critical, self-similar solutions found previously in spherical symmetry. It will study the collapse of highly distorted scalar field and gravitational wave configurations. It will also begin an investigation of the role of rotation in critical gravitational collapse. Ongoing studies of critical phenomena in spherically symmetric collapse will also continue.This work will increase our understanding of realistic gravitational collapse within the context of general relativity. It will also shed light on other astrophysical processes in which the gravitational field plays a very significant role. This deeper and increased understanding of some of the strong-field, non-linear aspects of gravity has the potential to help in understanding some of the data which will come soon from gravitational wave detectors such as the LIGO project.