论文标题
用爱因斯坦望远镜和宇宙探险家在原始黑洞周围测量暗物质尖峰
Measuring dark matter spikes around primordial black holes with Einstein Telescope and Cosmic Explorer
论文作者
论文摘要
未来的地面引力波观测站将是对质量$ 1-10 \，\ mathrm {m_ \ odot} $的黑洞周围环境的理想探针。二进制黑洞合并质量比$ q = m_2/m_1 \ lysSim10^{ - 3} $可以保留在此类探测器的频带中数月或几年，从而可以对其重力搜索其重力波形的精确搜索，以相对于真空灵感。作为环境效应的具体例子，我们在这里考虑了一群二元原始黑洞的种群，这些黑洞有望嵌入密集的冷暗物质尖峰中。我们为这些系统与所有观测约束兼容的这些系统提供了可行的地层场景，并预测了小质量比对的合并速率的上和下限。鉴于爱因斯坦望远镜或宇宙探险家检测到一个这样的系统的信号，我们表明，如果要考虑到暗物质尖峰的效果，可以考虑使用一周的数据，可以将二进制和暗物质尖峰的特性衡量至优异的精度。但是，我们表明，如果未正确考虑这些对象周围预测的暗物质过度密度的效果，则存在偏见的参数推理或完全缺少事件的风险。
Future ground-based gravitational wave observatories will be ideal probes of the environments surrounding black holes with masses $1 - 10\,\mathrm{M_\odot}$. Binary black hole mergers with mass ratios of order $q=m_2/m_1\lesssim10^{-3}$ can remain in the frequency band of such detectors for months or years, enabling precision searches for modifications of their gravitational waveforms with respect to vacuum inspirals. As a concrete example of an environmental effect, we consider here a population of binary primordial black holes which are expected to be embedded in dense cold dark matter spikes. We provide a viable formation scenario for these systems compatible with all observational constraints, and predict upper and lower limits on the merger rates of small mass ratio pairs. Given a detected signal of one such system by either Einstein Telescope or Cosmic Explorer, we show that the properties of the binary and of the dark matter spike can be measured to excellent precision with one week's worth of data, if the effect of the dark matter spike on the waveform is taken into account. However, we show that there is a risk of biased parameter inference or missing the events entirely if the effect of the predicted dark matter overdensity around these objects is not properly accounted for.
