论文标题
极端质量比率二进制黑洞合并：测试粒子极限的特征
Extreme Mass-Ratio Binary Black Hole Merger: Characteristics of the Test-Particle Limit
论文作者
论文摘要
我们在极端的质量比率限制中研究二进制黑洞合并。我们确定合并后的残留黑洞的能量，角动量和线性动量。与以前的作品不同，我们通过用沿着测量线移动的源求解regge-wheeler-Zerilli波方程来直接在测试粒子极限下进行分析。我们依靠这样一个事实，即朝着合并的小质量比率二进制系统遵循了一个拟南芥地质轨迹。这种形式主义捕获了小质量比内二进制的最终主张阶段，因此在无法访问数值相对性模拟的区域中提供了直接的通用描述。我们提出了一个通用波形模板，该模板可用于搜索来自小型和中间质量比率二进制系统的重力波爆发。最后，这种形式主义给出了正式的证据，即后坐力速度在对称的质量比$ν$中是二次的。具体而言，速度由$ v/c \大约0.0467ν^2 $给出。该结果约为$ 4 \％$ $比以前估计的。这种差异的大部分源于在我们的计算中包含较高的多物。
We study binary black hole mergers in the extreme mass-ratio limit. We determine the energy, angular momentum, and linear momentum of the post-merger, remnant black hole. Unlike previous works, we perform our analysis directly in the test-particle limit by solving the Regge-Wheeler-Zerilli wave equation with a source that moves along a geodesic. We rely on the fact that toward the merger, small mass-ratio binary systems follow a quasiuniversal geodesic trajectory. This formalism captures the final premerger stages of small mass-ratio binaries and thus provides a straightforward universal description in a region inaccessible to numerical relativity simulations. We present a general waveform template that may be used in the search for gravitational wave bursts from small and intermediate mass-ratio binary systems. Finally, this formalism gives a formal proof that the recoil velocity is quadratic in the symmetric mass ratio $ν$. Specifically, the velocity is given by $V/c\approx 0.0467 ν^2$. This result is about $4\%$ larger than previously estimated. Most of this difference stems from the inclusion of higher multipoles in our calculation.
