Formulations and numerical methods for strongly magnetized compact objects in equilibrium or quasi-equilibrium, and their applications to gravitational wave astronomy

我们推导了计算强磁化紧致物体平衡的新公式，并开发了一套新的通用代码COCAL（紧致物体计算器），用于计算各种紧致物体的数值解。这些解不仅对研究致密物体的结构有用，而且可以作为模拟的初始数据。成功地开发了均匀或差速旋转致密星、强磁化致密星和具有切除边界的双黑洞初始数据的计算代码以及小号穿刺法。这些代码的校准正在进行中，用于计算准平衡状态下的双中子星的代码正在构建中。

We have derived new formulations for computing equilibriums of strongly magnetized compact objects, and have been developing a set of new versatile codes, COCAL (Compact Object CALculator), for computing numerical solutions of various compact objects. Those solutions are useful not only for studying the structures of the compact objects, but also serve as initial data of simulations. The codes for computing uniformly or differentially rotating compact stars, strongly magnetized compact stars, and binary black hole initial data with the excision boundary as well as the trumpet puncture methods have been successfully developed. Calibrations of these codes are in progress, and the code for computing binary neutron stars in quasi-equilibrium is under construction.