Research in Classical and Quantum Gravitation

这项研究的目的是增加对大距离尺度和非常小距离尺度的引力物理的理解。特别是对引力理论的下列方面进行了研究：黑洞和中子星等双星系统的动力学行为和引力辐射；经典和量子引力场的对称性理论；宇宙模型的数学结构和动力学行为；引力理论的守恒定律。讨论了一些与爱因斯坦广义相对论及其扩展有关的数学和物理方面的公开问题。通过这项工作，加深了对引力物理和量子物理以及这两个当代物理理论基石之间的相互作用的理解，为引力天文学这一新兴领域提供了理论支持，并促进了应用数学各个领域的最新发展。最后，通过与这项研究相关的活动，促进了对未来数学和理论物理学生的教育和培训。

This research is intended to increase understanding of gravitational physics both at large distance scales and at very small distance scales. In particular, the following aspects of gravitational theory are studied; Dynamical behavior and gravitational radiation from binary systems such as black holes and neutron stars; Theory of classical and quantum graviational fields with Symmetry; Mathematical structure and dynamical behavior of cosmological models; Conservation laws for gravitational theories.A number of open questions of mathematical and physical interest are addressed, which are related to Einstein's General Theory of Relativity and its extensions. Through this work, understanding of gravitational physics and quantum physics as well as the interaction of these two cornerstones of contemporary physical theory is enhanced; theoretical support to the emerging field of gravitational astronomy is provided, and the state of the art in various areas of applied mathmatics is advanced. Finally, the education and training of prospective students in mathematics and theoretical physics is facilitated by activities associated with this research.