自相互作用标量暗物质云中双黑洞产生的引力波
Gravitational waves from binary black holes in a self-interacting scalar dark matter cloud
AI总结：
本研究分析自相互作用标量暗物质云中双黑洞引力波的相位修正，指出排斥自相互作用标量场会带来多阶PN修正，未来空间引力波探测器可探测小尺度暗物质云的相关效应。
摘要：
我们研究了吸积和动力学摩擦对嵌入标量暗物质云中的双黑洞所发射引力波信号的印记。作为本研究的一项关键特征，我们聚焦于具有排斥性自相互作用、且该自相互作用可与云的自引力相平衡的标量场。一阶近似下，相较于真空广义相对论的预测，由于云引力、吸积和动力学摩擦的作用，引力波信号的相位会收到$-3$PN、$-4$PN和$-5.5$PN阶的额外修正项。LISA和B-DECIGO的未来观测有望在大范围的标量质量$m_\text{DM}$和自相互作用耦合$λ_4$范围内探测到这些效应。这将对应于暗物质云尺度小于0.1秒差距的情形，这类情形难以通过其他探测手段发现。
英文摘要：
We investigate the imprints of accretion and dynamical friction on the gravitational-wave signals emitted by binary black holes embedded in a scalar dark matter cloud. As a key feature in this work, we focus on scalar fields with a repulsive self-interaction that balances against the self-gravity of the cloud. To a first approximation, the phase of the gravitational-wave signal receives extra correction terms at $-3$PN, $-4$PN and $-5.5$PN orders, relative to the prediction of vacuum general relativity, due to cloud gravity, accretion and dynamical friction. Future observations by LISA and B-DECIGO have the potential to detect these effects for a large range of scalar masses~$m_\mathrm{DM}$ and self-interaction couplings~$λ_4$. This would correspond to scenarios with dark matter clouds smaller than $0.1$ pc, which would be difficult to detect by other probes.
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