A numerical study of quasi-equilibrium black hole-neutron star binaries in general relativity

由黑洞和中子星星组成的双星系统由于引力波的发射而不可能处于静止状态。然而，存在一种可以被视为准平衡的状态，因为轨道衰变的时间尺度比轨道周期长得多。在本研究计划中，我们发展了一个数值程序来构造准平衡态的相对论黑洞-中子星星双星。特别是，我们已经找到了一种方法，包括一个快速旋转的黑洞在黑洞中子星星二进制。

Binary systems composed of a black hole and a neutron star cannot be in stationary state due to the emission of gravitational waves. There, however, exists a state which can be regarded as quasi-equilibrium, because the time-scale of the orbital decay is much longer than the orbital period. In this research program, we have developed a numerical code to construct relativistic black hole-neutron star binaries in quasi-equilibrium. In particular, we have found a method to include a rapidly spinning black hole in a black hole-neutron star binary.