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Detecting quasinormal modes of binary black hole mergers with second-generation gravitational-wave detectors

机译:用第二代重力波检测器检测二进制黑洞合并的拟正式模式

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Recent population synthesis simulations of Pop III stars suggest that the event rate of coalescence of similar to 30M(circle dot) - 30M(circle dot) binary black holes can be high enough for the detection by the second generation gravitational wave detectors. The frequencies of chirp signal as well as quasinormal modes are near the best sensitivity of these detectors so that it would be possible to confirm Einstein's general relativity. Using the WKB method, we suggest that for the typical value of spin parameter a/M similar to 0.7 from numerical relativity results of the coalescence of binary black holes, the strong gravity of the black hole space-time at around the radius 2M, which is just similar to 1.17 times the event horizon radius, would be confirmed as predicted by general relativity. The expected event rate with the signal-to-noise ratio > 35 needed for the determination of the quasinormal mode frequency with a meaningful accuracy is 0.17 - 7.2 events yr(-1) [(SFRp/(10(-2.5)M(circle dot) yr(-1) Mpc(-3)))center dot([f(b)/(1 + f(b))]/0.33)], where SFRp and f(b) are the peak value of the Pop III star formation rate and the fraction of binaries, respectively. As for the possible optical counterpart, if the merged black hole of mass M similar to 60M(circle dot) is in the interstellar matter with n similar to 100 cm(-3) and the proper motion of the black hole is similar to 1 km s(-1), the luminosity is similar to 10(40) erg s(-1) which can be detected up to similar to 300 Mpc, for example, by Subaru-HSC and LSST with the limiting magnitude 26.
机译:POP III恒星的最近人口合成模拟表明,类似于30M(圆点) - 30M(圆点)二进制黑洞的相结的事件率可以足够高,用于通过第二代重的重力波检测器检测。 Chirp信号的频率以及以Quasinormal模式近是这些探测器的最佳灵敏度,因此可以确认爱因斯坦的一般相对论。使用WKB方法,我们建议,对于旋转参数A / M的典型值,与二进制黑洞的聚结的数值相对性结果类似于0.7,黑洞空间时间在半径2m周围的强度与活动范围半径的1.17倍类似,将确认通过一般相对性预测。使用有意义的精度确定以异种模式频率确定的信噪比> 35的预期事件率为0.17 - 7.2事件YR(-1)[(SFRP /(10(-2.5)M(圆圈)点)Yr(-1)MPC(-3)))中心点([F(b)/(1 + f(b))] / 0.33)],其中sfrp和f(b)是峰值POP III星形成率和二进制部分的分数。至于可能的光对应物,如果类似于60m的质量m的合并黑洞(圆点)是与类似于100cm(-3)的N术,并且黑洞的适当运动类似于1公里S(-1),亮度类似于10(40)个ERG S(-1),其可以被检测到300mc,例如,通过副HSC和LSST与限制幅度26相似。

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