AI 中文总结
该研究构建了暗物质晕源轴对称黑洞时空的解析框架，发现暗物质会引发引力波相位退相干且受黑洞自旋调制，未来空间探测器可通过极端质量比旋近探测星系暗物质分布。
AI 中文摘要
我们开发了一种新的解析框架，用于构建由暗物质（DM）晕产生的轴对称黑洞时空。将该框架应用于极端质量比旋近（EMRI），我们发现暗物质会引发可探测的引力波相位退相干，其强度随暗物质晕的致密性单调变化。值得注意的是，黑洞（BH）自旋会显著抑制这种退相干，这表明忽略旋转的分析会高估暗物质的信号特征。保真度计算证实，未来的空间引力波探测器可可靠区分此类暗物质环境，确立极端质量比旋近作为探测星系暗物质分布的新探针。
英文摘要
We develop a novel analytical framework for constructing axisymmetric black hole spacetimes sourced by dark matter (DM) halos. Applying this to extreme mass ratio inspirals (EMRIs), we find that the DM induces a detectable gravitational-wave dephasing, scaling monotonically with the halo's compactness. Notably, BH spin significantly suppresses this dephasing, indicating that analyses neglecting rotation would overestimate DM signatures. Faithfulness calculations confirm that future space-borne detectors can robustly distinguish such DM environments, establishing EMRIs as a novel probe for galactic DM distributions.
