Gravitational waves from a particle in circular orbits around a rotating black hole to the 11th post-Newtonian order
Gravitational waves from a particle in circular orbits around a rotating black hole to the 11th post-Newtonian order
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来自围绕旋转黑洞的圆形轨道上的粒子的引力波，达到后牛顿第 11 阶
DOI：
10.1093/ptep/ptv012
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发表时间：
2014
影响因子：
3.5
通讯作者：
R. Fujita
中科院分区：
文献类型：
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作者：
R. Fujita
由于PN近似下的能通量相对误差小于10 -5 ，因此v 0.33 (v 0.13)可采用11PN(4PN)处的能通量。如果对 11PN 处的能通量应用恢复方法，有效区域可以进一步扩展到 v 0.4。然后，我们将 PN 结果的两年启发期间的轨道相位与高精度数值结果进行比较。我们发现，对于晚（早）螺旋，当 q ≤ 0.3 (q ≤ 0.9) 时，其中 q 是黑洞的无量纲自旋参数，相位差小于 1 (10 -4 ) rad，因此这些螺旋可以在 eLISA/新引力波天文台等空间探测器的数据分析中通过 PN 模板检测到。我们还计算了 22.5PN 处围绕非旋转黑洞的圆形轨道上的粒子辐射到事件视界的能量通量，即超出领先牛顿近似的 v 45，这相当于
the relative error of the energy flux in the PN approximation to be less than 10 −5 , the energy flux at 11PN (4PN) can be used for v 0.33 (v 0.13). The region of validity can be further extended to v 0.4 if one applies a resummation method to the energy flux at 11PN. We then compare the orbital phase during a two-year inspiral from the PN results with the high-precision numerical results. We find that, for late (early) inspirals when q ≤ 0.3 (q ≤ 0.9), where q is the dimensionless spin parameter of the black hole, the difference in the phase is less than 1 (10 −4 ) rad and hence these inspirals may be detected in the data analysis for space detectors such as eLISA/New Gravitational wave Observatory by the PN templates. We also compute the energy flux radiated into the event horizon for a particle in circular orbits around a non-rotating black hole at 22.5PN, i.e. v 45 beyond the leading Newtonian approximation, which is comparable to