标题： 准静态圆轨道中的双中子星：完全相对论处理 显示英文标题

标题： Binary Neutron Stars in Quasi-Equilibrium Circular Orbit: A Fully Relativistic Treatment

摘要： 我们提出了一种数值方案，用于求解双中子星在拟平衡状态下的广义相对论初值问题。 虽然牛顿引力允许严格的平衡状态，但一个相对论性的双星系统会发射引力辐射，导致系统失去能量并缓慢地螺旋内移。 然而，由于螺旋内移的时间尺度远大于轨道周期，我们可以采用拟平衡近似。 在这种近似下，我们将爱因斯坦方程的一个子集与相对论流体力学方程耦合起来，以求解任意分离距离的双星系统的初值问题，直到最内侧稳定轨道。 显示英文摘要

摘要： We present a numerical scheme that solves the initial value problem in full general relativity for a binary neutron star in quasi-equilibrium. While Newtonian gravity allows for a strict equilibrium, a relativistic binary system emits gravitational radiation, causing the system to lose energy and slowly spiral inwards. However, since inspiral occurs on a time scale much longer than the orbital period, we can adopt a quasi-equilibrium approximation. In this approximation, we integrate a subset of the Einstein equations coupled to the equations of relativistic hydrodynamics to solve the initial value problem for binaries of arbitrary separation, down to the innermost stable orbit.