Dynamics of Compact Objects and Gravitational Wave Simulations

爱因斯坦的引力理论预言，加速的质量会产生引力波，类似于电荷产生电磁波的方式。大型引力波探测器即将投入使用，其灵敏度足以观测到来自遥远星系的引力波。爱因斯坦方程的复杂性需要计算机模拟来预测现实天体物理源（如致密双星系统、黑洞和中子星）产生的引力波。该项目的主要目标是提高我们在获得爱因斯坦方程的数值实现方面的知识，并将其应用于物理相关的场景。该项目将探索使用类空间和光初始数据的方法中尚未解决的问题，特别是那些阻碍健壮实现的问题。第一步将是开发一个强大的模拟，能够处理与标量场相互作用的一般单一黑洞。这将作为后续实施的双黑洞系统和黑洞-中子星系统的测试用例。

Einstein 's gravitational theory predicts that accelerated masses produce gravitational waves, analogous to the way charges produce electromagnetic waves. Large scale gravitational wave detectors, sensitive enough to observe waves from distant galaxies, are coming into operation. The complexity of Einstein's equations requires computer simulations to predict the gravitational waves produced by realistic astrophysical sources such as compact binary systems a black hole and neutron stars. The major goal of this project is to advance our knowledge in obtaining numerical implementations of Einstein equations and applying these to physically relevant scenarios. The project will explore unresolved issues for approaches using both space-like and light-like initial data especially those which have prevented robust implementations. The first step will be to develop a robust simulation capable of dealing with a generic single black hole interacting with scalar fields. This will serve as test cases for binary black hole systems and black hole-neutron star systems to be implemented subsequently.