标题： 双阶段近似用于黑洞碰撞：它是否可靠？ 显示英文标题

标题： The two-phase approximation for black hole collisions: Is it robust?

摘要： 最近，Abrahams 和 Cook 通过将牛顿演化应用于黑洞直到两个黑洞形成共同的视界，然后应用施瓦茨希尔德扰动技术，设计了一种估算远处黑洞碰撞产生的总辐射能量的方法。 尽管他们的方法很粗糙，但他们对正面对撞情况的结果却出乎意料地准确。 在这里，我们利用在近距离-慢速近似中为黑洞碰撞设计的简单辐射能量公式，测试 Abrahams-Cook 结果对演化方法从牛顿演化切换到广义相对论演化的时间选择的依赖程度。 我们发现他们的结果具有鲁棒性，不太依赖于这一时间选择。 显示英文摘要

摘要： Recently Abrahams and Cook devised a method of estimating the total radiated energy resulting from collisions of distant black holes by applying Newtonian evolution to the holes up to the point where a common apparent horizon forms around the two black holes and subsequently applying Schwarzschild perturbation techniques . Despite the crudeness of their method, their results for the case of head-on collisions were surprisingly accurate. Here we take advantage of the simple radiated energy formula devised in the close-slow approximation for black hole collisions to test how strongly the Abrahams-Cook result depends on the choice of moment when the method of evolution switches over from Newtonian to general relativistic evolution. We find that their result is robust, not depending strongly on this choice.