标题： 关于超轻玻色子与量子校正黑洞的相互作用 显示英文标题

标题： On the Interaction between Ultralight Bosons and Quantum-Corrected Black Holes

摘要： 超轻暗物质和探索黑洞的量子特性都是目前引力波天文学中备受关注的话题。 超辐射不稳定性允许奇异致密天体（ECO）被超轻玻色子云包围，这会导致引力波的发射，并进一步触发丰富的动力学效应。 本文中，我们通过求解 Teukolsky 方程研究了由超轻标量暗物质场引起的引力波能量流，该方程是在一个具有质量的 ECO 的背景下进行的，后者用克尔几何描述，并在其物理边界处采用反射边界条件进行唯象描述。 我们发现，如果 $M\mu \gtrsim 0.5$，其中 $M$ 和 $\mu$分别是 ECO 和玻色子的质量，则反射率的振幅和相位要么会抑制引力波能量流几个数量级，要么增强它。然而，如果 $M \mu \lesssim 0.5$，则对能量流的修正可以忽略不计。 我们的结果表明，反射率将在 ECO 的近地平线物理学中发挥重要作用。 显示英文摘要

摘要： Both ultralight dark matter and exploring the quantum nature of black holes are all topics of great interest in gravitational wave astronomy at present. The superradiant instability allows an exotic compact object (ECO) to be surrounded by an ultralight boson cloud, which leads to the emission of gravitational waves and further triggers rich dynamical effects. In this paper, we study the gravitational effects of superradiant instabilities by calculating the energy fluxes of gravitational waves emitted from ultralight scalar dark matter fields by solving the Teukolsky equation in the background of a massive ECO phenomenologically described by a Kerr geometry with a reflective boundary condition at its physical boundary. We find that both the amplitude and phase of the reflectivity will either suppress or enhance the energy flux of GWs by several orders of magnitude if $M\mu \gtrsim 0.5$ where $M$ and $\mu$ are the mass of ECO and boson, respectively. However, the modifications to energy flux are negligible if $M \mu \lesssim 0.5$. Our results suggest that reflectivity will play a significant role in the near-horizon physics of ECO.