Energy versus angular momentum in black hole binaries.
Energy versus angular momentum in black hole binaries.
复制标题
黑洞双星中的能量与角动量。
DOI：
10.1103/physrevlett.108.131101
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发表时间：
2011
影响因子：
8.6
通讯作者：
C. Reisswig
中科院分区：
文献类型：
--
作者：
T. Damour;A. Nagar;D. Pollney;C. Reisswig
利用精确的数值相对论模拟质量比为1:1、2:1和3:1的（非自旋）黑洞双星，我们计算了系统（约化）结合能E和（约化）角动量j之间的规范不变关系。我们证明了关系E(j)是在高度相对论状态下黑洞双子星动力学的准确诊断。通过将数值相对论E(NR)(j)曲线与几种解析近似方案的预测结果进行比较，我们发现，虽然标准定义的、非恢复的后牛顿扩展E(PN)(j)关系与E(NR)(j)之间的偏差很大且越来越大，但纯粹基于已知解析结果（没有任何数值相对论校准）的有效一体形式的预测与数值相对论结果非常吻合。
Using accurate numerical-relativity simulations of (nonspinning) black-hole binaries with mass ratios 1:1, 2:1, and 3:1, we compute the gauge-invariant relation between the (reduced) binding energy E and the (reduced) angular momentum j of the system. We show that the relation E(j) is an accurate diagnostic of the dynamics of a black-hole binary in a highly relativistic regime. By comparing the numerical-relativity E(NR)(j) curve with the predictions of several analytic approximation schemes, we find that, while the canonically defined, nonresummed post-Newtonian-expanded E(PN)(j) relation exhibits large and growing deviations from E(NR)(j), the prediction of the effective one body formalism, based purely on known analytical results (without any calibration to numerical relativity), agrees strikingly well with the numerical-relativity results.