AI 中文总结
该研究探讨双曲轨道PBH与SMBH相互作用产生的引力波，评估LISA和μAres任务对相关信号的可探测性，发现未束缚PBHs难以产生可探测引力波信号。
AI 中文摘要
在早期宇宙中形成的原初黑洞（PBHs）仍然是一种可行的暗物质候选体。由于暗物质预计会向星系中心聚集，大量PBHs会位于超大质量黑洞（SMBH）附近，为引力波辐射提供了理想环境。我们研究质量范围为10⁻¹⁵至10倍太阳质量、沿双曲轨道经过SMBH的PBHs，这些PBHs在近心点经过时会产生引力辐射暴。人马座A*是这类事件的明显发生地，但我们表明M31*和M87*也会产生类似信号，尽管频率更低。我们评估了单个引力暴和“爆米花”背景相对于LISA和拟议的μAres任务的可探测性，结合合理的中心暗物质晕密度进行比较后发现，未束缚的PBHs不太可能产生可探测信号。
英文摘要
Primordial black holes (PBHs) formed in the early Universe remain a viable dark matter candidate. Since dark matter is expected to be concentrated toward galactic centres, a significant population of PBHs would reside near a supermassive black hole (SMBH), providing a promising environment for gravitational wave emission. We consider PBHs with masses from $10^{-15}$ to $10$ solar masses on hyperbolic trajectories past an SMBH, that produce bursts of gravitational radiation during periastron passage. Sagittarius A* is an obvious location for these events, but we show that both M31* and M87* would generate similar signals, albeit at lower frequencies. We assess the detectability of both individual bursts and "popcorn" backgrounds, relative to LISA and the proposed $μ$Ares mission. Comparing these results to plausible central halo densities, we find that unbound PBHs are unlikely to yield detectable signals.
Comments11 pages, 12 figures
