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Constraining the neutron star equation of state with gravitational wave signals from coalescing binary neutron stars

机译:用来自合并双中子星的引力波信号约束中子星状态方程

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摘要

Recently exploratory studies were performed on the possibility of constraining the neutron star equation of state (EOS) using signals from coalescing binary neutron stars, or neutron star–black hole systems, as they will be seen in upcoming advanced gravitational wave detectors such as Advanced LIGO and Advanced Virgo. In particular, it was estimated to what extent the combined information from multiple detections would enable one to distinguish between different equations of state through hypothesis ranking or parameter estimation. Under the assumption of zero neutron star spins both in signals and in template waveforms and considering tidal effects to 1 post-Newtonian (1PN) order, it was found that O(20) sources would suffice to distinguish between a stiff, moderate, and soft equation of state. Here we revisit these results, this time including neutron star tidal effects to the highest order currently known, termination of gravitational waveforms at the contact frequency, neutron star spins, and the resulting quadrupole-monopole interaction. We also take the masses of neutron stars in simulated sources to be distributed according to a relatively strongly peaked Gaussian, as hinted at by observations, but without assuming that the data analyst will necessarily have accurate knowledge of this distribution for use as a mass prior. We find that especially the effect of the latter is dramatic, necessitating many more detections to distinguish between different EOSs and causing systematic biases in parameter estimation, on top of biases due to imperfect understanding of the signal model pointed out in earlier work. This would get mitigated if reliable prior information about the mass distribution could be folded into the analyses.
机译:最近进行了探索性研究,以利用来自合并的二元中子星或中子星-黑洞系统的信号来约束中子星状态方程(EOS)的可能性,正如在即将出现的高级引力波探测器(如高级LIGO)中将看到的那样和高级处女座。具体而言,据估计,来自多次检测的组合信息将在多大程度上使人们能够通过假设排序或参数估计来区分不同的状态方程。在信号和模板波形中的中子星自旋均为零的情况下,并考虑潮汐效应达到1牛顿后(1PN)阶,发现O(20)源足以区分刚性,中性和软性状态方程。在这里,我们将重新讨论这些结果,这次包括当前已知的最高级别的中子星潮汐效应,接触频率处的引力波形终止,中子星自旋以及由此产生的四极-单极相互作用。正如观察所暗示的那样,我们还将模拟源中的中子星质量按照相对强的峰值高斯分布,但并不假定数据分析人员一定会准确地知道这种分布以用作质量先验。我们发现,特别是后者的影响是巨大的,除了由于早期工作中指出的对信号模型的不完全理解造成的偏差之外,还需要进行更多的检测以区分不同的EOS,并导致系统的参数估计偏差。如果可以将有关质量分布的可靠的先验信息汇总到分析中,则可以缓解这种情况。

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