两个黑洞的强场散射：数值与解析
Strong-Field Scattering of Two Black Holes: Numerics Versus Analytics
摘要：
通过计算双曲型近距离双黑洞碰撞时的散射角$χ$随碰撞参量的变化关系，研究了强场区两个黑洞的引力相互作用.数值相对论的完全广义相对论的结果相比，两个解析近似：后牛顿理论和有效的一体形式主义。随着碰撞参量的减小，使得黑洞在其史瓦西半径的几倍范围内通过，我们发现后牛顿预言变得相当不准确，而有效单体预言继续显示出与数值结果的良好一致性。因为我们已经探索了一个制度，这是非常不同的，到目前为止，考虑与二进制的准圆轨道，我们的研究结果打开了一个新的途径，以改善分析表示的广义相对论两体哈密顿量。
英文摘要：
We probe the gravitational interaction of two black holes in the strong-field regime by computing the scattering angle $χ$ of hyperbolic-like, close binary-black-hole encounters as a function of the impact parameter. The fully general-relativistic result from numerical relativity is compared to two analytic approximations: post-Newtonian theory and the effective-one-body formalism. As the impact parameter decreases, so that black holes pass within a few times their Schwarzschild radii, we find that the post-Newtonian prediction becomes quite inaccurate, while the effective-one-body one keeps showing a good agreement with numerical results. Because we have explored a regime which is very different from the one considered so far with binaries in quasi-circular orbits, our results open a new avenue to improve analytic representations of the general-relativistic two-body Hamiltonian.
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