论文标题

合并的引力波和电磁数据的联合分析:打破GW170817和将来的事件中的余辉模型退化

Joint analysis of gravitational-wave and electromagnetic data of mergers: breaking an afterglow model degeneracy in GW170817 and in future events

论文作者

Gianfagna, Giulia, Piro, Luigi, Pannarale, Francesco, Van Eerten, Hendrik, Ricci, Fulvio, Ryan, Geoffrey, Troja, Eleonora

论文摘要

2017年8月17日,高级LIGO和处女座观察到GW170817,这是来自二进制中子星合并的第一个重力波(GW)信号。随后是短期伽玛射线爆发,GRB 170817a,并通过非热余辉发射。在这项工作中,实现了电磁(EM,特别是余辉)和GW域的同时拟合,均使用GW独立分析的后验分布作为先验分布,以分别处理EM数据,并同时拟合EM和GW域。只要GW分析的实际后验而不是近似值,这些方法就以数学重合为一致。我们将视角($θ_v$)视为两个域中的共享参数。在使用高斯结构化射流的余辉建模中,此参数和喷气核角度($θ_C$)相关,导致其值的高不确定性。与仅拟合度相比,关节EM+GW分析放松了这种退化性,减少了不确定性。我们还将我们的方法论应用于下一个GW观测中发生的类似于GW170817的假设事件,$ \ sim $ \ sim $ 140和70 mpc。在70 MPC时,由于将GW域纳入了分析,现有的EM变性损坏。在140 MPC时,仅Em-fit不能限制$θ_v$或$θ_C$,因为余辉上升阶段缺乏检测。将GW数据折叠到分析中会导致对$θ_v$的严格限制,仍然留下$θ_C$不受限制的,需要具有较高灵敏度的仪器,例如雅典娜。

On August 17, 2017, Advanced LIGO and Virgo observed GW170817, the first gravitational-wave (GW) signal from a binary neutron star merger. It was followed by a short-duration gamma-ray burst, GRB 170817A, and by a non-thermal afterglow emission. In this work, a combined simultaneous fit of the electromagnetic (EM, specifically, afterglow) and GW domains is implemented, both using the posterior distribution of a GW standalone analysis as prior distribution to separately process the EM data, and fitting the EM and GW domains simultaneously. These approaches coincide mathematically, as long as the actual posterior of the GW analysis, and not an approximation, is used as prior for the EM analysis. We treat the viewing angle, $θ_v$, as shared parameter across the two domains. In the afterglow modelling with a Gaussian structured jet this parameter and the jet core angle, $θ_c$, are correlated, leading to high uncertainties on their values. The joint EM+GW analysis relaxes this degeneracy, reducing the uncertainty compared to an EM-only fit. We also apply our methodology to hypothetical GW170817-like events occurring in the next GW observing run at $\sim$140 and 70 Mpc. At 70 Mpc the existing EM degeneracy is broken, thanks to the inclusion of the GW domain in the analysis. At 140 Mpc, the EM-only fit cannot constrain $θ_v$ nor $θ_c$ because of the lack of detections in the afterglow rising phase. Folding the GW data into the analysis leads to tighter constraints on $θ_v$, still leaving $θ_c$ unconstrained, requiring instruments with higher sensitivities, such as Athena.

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