标题： 改进的黑洞碰撞初始数据 显示英文标题

标题： Improved initial data for black hole collisions

摘要： 目前开发的数值相对论程序将演化代表晚期碰撞黑洞的初始数据。 用于代码开发的初始数据的选择是基于数学上的明确性和计算实现的有用性。 通过使用“粒子极限”（即碰撞黑洞质量比极端值的极限），我们最近表明，标准选择并不是天体物理生成初始数据的良好表示。 在这里，我们展示了对于粒子极限，存在一个非常简单的替代选择，似乎能给出极好的结果。 这个选择，“对流”初始数据，粗略地说，相当于哈密顿约束参数化解的时间序列的起点；对于圆轨道中的粒子，它是任何超曲面上稳态解的初始数据。 讨论了相关方案在等质量黑洞中的实施情况。 显示英文摘要

摘要： Numerical relativity codes now being developed will evolve initial data representing colliding black holes at a relatively late stage in the collision. The choice of initial data used for code development has been made on the basis of mathematical definitiveness and usefulness for computational implementation. By using the ``particle limit'' (the limit of an extreme ratio of masses of colliding holes) we recently showed that the standard choice is not a good representation of astrophysically generated initial data. Here we show that, for the particle limit, there is a very simple alternative choice that appears to give excellent results. That choice, ``convective'' initial data is, roughly speaking, equivalent to the start of a time sequence of parameterized solutions of the Hamiltonian constraint; for a particle in circular orbit, it is the initial data of the steady state solution on any hypersurface. The implementation of related schemes for equal mass holes is discussed.