发表机构
Aix Marseille Université, Université de Toulon; Université Paris-Saclay（艾克斯-马赛大学，土伦大学; 巴黎萨克雷大学）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本文研究嵌入暗物质晕的静态黑洞对无质量标量波的散射，采用多种方法分析，发现晕会改变黑洞散射特征，且可通过CAM重构散射截面，仅需少数雷杰极点即可实现大角度下的高精度。
AI 中文摘要
我们研究嵌入暗物质晕中的静态黑洞对无质量标量波的散射。该晕采用Hernquist剖面建模，对于该剖面，爱因斯坦方程存在精确解。我们利用类光测地线、光环近似、分波展开和复角动量（CAM）方法分析散射。几何分析表明，晕的存在会微弱改变光环半径，但会偏移临界碰撞参数和光环碰撞参数。波分析表明，特征性的黑洞干涉图案得以保留，其中晕的致密性提供主导修正，晕的标度半径起次要作用。对于足够致密的晕，该环境还会引发显著的引力红移。干涉极值的大部分位移可通过具有适当选择的ωM_BH的真空史瓦西解再现。然而，非零的残余位移揭示了无法被此类有效频移吸收的真实晕贡献。最后，我们对散射截面进行CAM重构，发现仅需少数雷杰极点即可在大角度下实现高精度。
英文摘要
We study the scattering of massless scalar waves by static black holes embedded in dark matter halos. The halo is modelled by means of a Hernquist profile, for which the Einstein equations admit an exact solution. We analyse the scattering using null geodesics, the glory approximation, the partial wave expansion, and the complex angular momentum (CAM) method. The geometric analysis shows that the presence of the halo changes the light ring radius weakly but shifts the critical and glory impact parameters. The wave analysis shows that the characteristic black hole interference pattern is preserved, with halo compactness providing the leading correction and the halo scale radius playing a secondary role. For sufficiently compact halos, the environment also induces a sizeable gravitational redshift. Most of the displacement of the interference extrema can be reproduced by a vacuum Schwarzschild solution with an appropriately chosen $ωM_{\rm BH}$. A non-vanishing residual, however, reveals a genuine halo contribution that cannot be absorbed into such an effective frequency shift. Finally, we perform the CAM reconstruction of the scattering cross section and find that only a few Regge poles are required to achieve high accuracy at large angles.
Comments11 pages, 9 figures
