Theoretical Research in General Relativity and Relativistic Cosmology

本研究的目的是精确地数值构造完整的3+1维黑洞时空。 取代传统的使用特殊的时间切片来避免黑洞时空中固有的奇异性的方法，在全三维数值相对论中，正在开发一种新的方法，使用黑洞视界作为数值演化的内边界。 这样的视界边界方案有望对黑洞的数值研究产生重大影响。 研究的主题是黑洞时空的数值研究。 由于LIGO/VIRGO阵列预计将在这十年内开始获取数据，因此对黑洞碰撞期间产生的波形的形状和强度进行精确计算非常重要，因为这些事件被认为是最有趣的可检测引力辐射源之一。

This research aims at the accurate numerical constructions of the full 3+1 dimensional black hole spacetimes. Instead of the traditional approach of using special time slicings to avoid the singularities inherent in black hole spacetimes, a new approach using black hole horizons as inner boundaries in numerical evolution is being developed in full 3-D numerical relativity. Such a horizon boundary scheme is expected to have major impact on the numerical study of black holes. The theme of the research is on the numerical study of black hole spacetimes. Since the LIGO/VIRGO arrays are expected to begin taking data during this decade, it is important to perform accurate calculations for the shape and strength of the wave forms generated during collisions of black holes, as such events are considered to be one of the most interesting sources of detectable gravitational radiation.