arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 2201.00023gr-qcastro-ph.HEhep-ph
收藏

用LISA和爱因斯坦望远镜观测大质量黑洞光谱

The landscape of massive black-hole spectroscopy with LISA and Einstein Telescope

Swetha Bhagwat, Costantino Pacilio, Enrico Barausse, Paolo Pani

摘要:

测量受扰动的黑洞~(BH)--也称为BH谱--发射的准简正模~(QNM)谱为检验强引力区中广义相对论的预言提供了极好的机会。我们研究了大质量双黑洞环降中BH光谱的前景和精度,这是未来激光干涉空间天线(LISA)任务的主要科学目标之一。我们模拟各种大规模的二进制BH人口模型,具有竞争力的处方之间的延迟星系和BH合并,超新星反馈对大规模BH增长的影响,以及高红移BH种子(轻与重的种子)的初始人口。对于这些情况下,我们使用Fisher矩阵分析计算精确BH光谱的预期事件的平均数。我们发现,对于任何重种子的情况下,LISA将测量的主导模式频率内${\cal O}(0.1) \%$相对不确定性,并估计至少3个独立的QNM参数内$1 \%$的错误。最乐观的重种子场景在LISA的操作时间内产生具有3个或更多QNM量的$1 \%$可测量性的$\mathcal{O}(100)$事件。另一方面,轻种子的情况下产生较轻的合并残留物,其环的频率高于LISA的灵敏度。有趣的是,光种子模型在爱因斯坦望远镜的波段中产生了一小部分合并,允许在大约几到十个事件/年的情况下测量3个QNM参数的$\sim 10 \%$相对误差。在光种子方案中更精确的BH光谱学将需要在分赫兹波段中操作的仪器。

英文摘要:

Measuring the quasi-normal mode~(QNM) spectrum emitted by a perturbed black-hole~(BH) --~also known as BH spectroscopy~-- provides an excellent opportunity to test the predictions of general relativity in the strong-gravity regime. We investigate the prospects and precision of BH spectroscopy in massive binary black hole ringdowns, one of the primary science objectives of the future Laser Interferometric Space Antenna~(LISA) mission. We simulate various massive binary BH population models, featuring competing prescriptions for the Delays between galaxy and BH mergers, for the impact of supernova feedback on massive BH growth, and for the initial population of high redshift BH seeds (light versus heavy seeds). For each of these scenarios, we compute the average number of expected events for precision BH spectroscopy using a Fisher-matrix analysis. We find that, for any heavy seed scenario, LISA will measure the dominant mode frequency within ${\cal O}(0.1) \%$ relative uncertainty and will estimate at least 3 independent QNM parameters within $1 \%$ error. The most optimistic heavy seed scenarios produce $\mathcal{O}(100)$ events with $1 \%$ measurability for 3 or more QNM quantities during LISA's operational time. On the other hand, light seed scenarios produce lighter merger remnants, which ring at frequencies higher than LISA's sensitivity. Interestingly, the light seed models give rise to a fraction of mergers in the band of Einstein Telescope, allowing for the measurement of 3 QNM parameters with $\sim 10 \%$ relative errors in approximately a few to ten events/yr. More precise BH spectroscopy in the light seed scenarios would require instruments operating in the deciHertz band.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

↑