Mass-redshift Degeneracy for the Gravitational-wave Sources in the Vicinity of Supermassive Black Holes

作     者：Chen, Xian Li, Shuo Cao, Zhoujian 

作者机构：Astronomy Department School of Physics Peking University Beijing100871 China Kavli Institute for Astronomy and Astrophysics at Peking University Beijing100871 China National Astronomical Observatories and Key Laboratory of Computational Astrophysics Chinese Academy of Sciences 20A Datun Rd Beijing100012 China Institute of Applied Mathematics Academy of Mathematics and Systems Science Chinese Academy of Sciences Beijing100190 China 

出 版 物：《arXiv》 (arXiv)

年 卷 期：2017年

核心收录：

主　　题：Gravitational effects 

摘      要：Retrieving the mass of a gravitational-wave (GW) source is a fundamental but difucult problem because the mass is degenerate with redshift. In astronomy, three types of redshift exist, namely cosmological, Doppler, and gravitational redshift, but the latter two are normally too weak to affect the observation. In this Letter, we show that the current astrophysical models allow binary black holes (BBHs) to merge within 10 Schwarzschild radii of a supermassive black hole (SMBH). We find that in this case both the Doppler and gravitational redshift are significant, and in the most extreme condition they could increase the \apparent black-hole mass and distance by a factor of 1:9 3:4. We show that such a factor is consistent with the distribution in the distance-mass diagram of the ten BBHs detected so far by LIGO/Virgo. We also discuss the dificulties of this redshift scenario caused by the low event rate predicted by the current models, as well the potential solutions. Copyright © 2017, The Authors. All rights reserved.