Modeling the Dynamics and the Gravitational-Wave Emission of Co-Alescing Compact Binary Systems

该奖项是根据2009年美国复苏和再投资法案（公法111-5）资助的。该研究涵盖了引力波理论、数据分析和合并紧密双星的天体物理学等几个主题。它的目的是(i)将微扰计算扩展到更高的后牛顿阶；（ii）建立有效的处理旋转黑洞双星的一体模板，忠实地再现精确的数值相对论模拟；（iii）在激光干涉仪引力波天文台（LIGO）软件中实现这些有效的一体模板，并利用LIGO和增强型LIGO进行引力波搜索；将有效的一体方法扩展到中子星/中子星和中子星/黑洞双星以及偏心双星；(v)掌握黑洞合并后的反冲物理，提供一个简单、易于管理的反冲速度分析公式，天体物理学家可以很容易地将其纳入数值层次合并代码中。这项研究将对LIGO探测引力波产生影响，提高从观测波中提取引力波携带的独特信息的能力，并检验广义相对论的基本方程。

This award is funded under the American Recovery and Reinvestment Act of 2009 (Public Law 111-5).The research spans several topics in gravitational-wave theory, data-analysis and astrophysics of coalescing compact binaries. It aims at (i) Extending perturbative calculations at higher post-Newtonian order; (ii) Building effective-one-body templates of precessing, spinning black-hole binaries which faithfully reproduce accurate numerical relativity simulations; (iii) Implementing these effective-one-body templates in Laser Interferometer Gravitational Wave Observatory (LIGO) software and carrying out searches for gravitational waves with LIGO and Enhanced LIGO; (iv) Extending the effective-one-body approach to neutron-star/neutron-star and neutron-star/black-hole binaries and to eccentric binaries; and (v) Grasping the physics of recoil from merging black holes, providing a simple, manageable analytical formula for the recoil velocity that can be easily incorporated by astrophysicists in numerical hierarchical-merger codes. This research will have an impact on detecting gravitational waves with LIGO, improve the ability to extract from observed waves unique information that the waves carry, and test fundamental equations of general relativity.