Theoretical Research in General Relativity and Relativistic Cosmology

本研究旨在建立完整的3+1维黑洞时空的精确数值结构。在全三维数值相对论中，利用黑洞视界作为数值演化的内边界，取代了传统的利用特殊时间切片来避免黑洞时空固有奇点的方法。这种视界边界格式有望对黑洞的数值研究产生重大影响。本次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采集数据，因此对黑洞碰撞过程中产生的波形的形状和强度进行精确计算是很重要的，因为这种事件被认为是可探测到的引力辐射中最有趣的来源之一。

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.