11-orbit inspiral of a mass ratio 4:1 black-hole binary

11-orbit inspiral of a mass ratio 4:1 black-hole binary
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质量比 4:1 黑洞双星的 11 轨道螺旋

DOI:
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发表时间:
2011
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通讯作者:
C. Sopuerta
C. Sopuerta
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作者:
U. Sperhake;B. Brügmann;D. Müller;C. Sopuerta

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我们分析了一个质量比为Q≡M1/M2=4的非自旋黑洞双星的11轨道激子,并将数值得到的引力波形与包含多个次优势多极(L=5,m=5)的后牛顿(PN)预言进行了比较。我们发现:(1)数值和后牛顿理论预测的(2,2)模位相在Pn截止频率Mω=0.1时积累了约0.35rad的相位差,对于TylanT1近似,当数值波形和Pn波形在早期激发相的窗口上匹配时;(Ii)与以前对等质量和特定自旋双星的研究相比,我们发现T4近似与数值结果的一致性较差,只要后者外推到无限大引出半径;(Iii)引力波向无限引出半径的外推对于具有≠m的次优势多极来说是特别重要的;(4)后牛顿多极展开式中的3Pn项显著改善了次优势多极子数值预测的一致性。
We analyse an 11-orbit inspiral of a non-spinning black-hole binary with mass ratio q ≡ M1/M2 = 4. The numerically obtained gravitational waveforms are compared with post-Newtonian (PN) predictions including several subdominant multipoles up to multipolar indices (l = 5, m = 5). We find that (i) numerical and post-Newtonian predictions of the phase of the (2, 2) mode accumulate a phase difference of about 0.35 rad at the PN cut-off frequency Mω = 0.1 for the Taylor T1 approximant when numerical and PN waveforms are matched over a window in the early inspiral phase; (ii) in contrast to previous studies of equal mass and specific spinning binaries, we find the Taylor T4 approximant to agree less well with numerical results, provided the latter are extrapolated to infinite extraction radius; (iii) extrapolation of gravitational waveforms to infinite extraction radius is particularly important for subdominant multipoles with l ≠ m; (iv) 3PN terms in post-Newtonian multipole expansions significantly improve the agreement with numerical predictions for subdominant multipoles.
DOI: 10.1103/physrevlett.98.091101
发表时间: 2006-10
影响因子: 8.6
作者:
José A. González;U. Sperhake;B. Brügmann;M. Hannam;S. Husa
通讯作者: José A. González;U. Sperhake;B. Brügmann;M. Hannam;S. Husa
DOI: 10.1103/physrevd.77.024027
发表时间: 2006-10
期刊: Physical Review D
影响因子: 5
作者:
B. Bruegmann;José A. González;M. Hannam;S. Husa;U. Sperhake;W. Tichy
通讯作者: B. Bruegmann;José A. González;M. Hannam;S. Husa;U. Sperhake;W. Tichy