标题： 周围有薄吸积盘的黑洞的潮汐变形能力 显示英文标题

标题： Tidal deformability of black holes surrounded by thin accretion disks

摘要： 自引力致密天体的潮汐洛夫数描述了它们对外部潮汐扰动（例如双星系统中伴星引起的扰动）的响应，为了解其内部结构提供了宝贵的见解。 对于静态潮汐场，真空中的渐近平直黑洞在广义相对论中通常表现出零值的洛夫数，尽管这一性质对外部环境的存在非常敏感。 在这项工作中，我们研究了被薄吸积盘包围的黑洞的潮汐变形性，表明洛夫数可能足够大，以至于掩盖了修正引力的任何效应，并且内在限制了黑洞模拟物的潮汐检验。 此外，我们还探讨了下一代引力波实验（如LISA和Einstein Telescope）对潮汐参数的可测量性。 我们的研究结果表明，这些参数可以被高精度地测量，提供了一种强大的工具来探测即将合并的双星系统的周围环境。 显示英文摘要

摘要： The tidal Love numbers of self-gravitating compact objects describe their response to external tidal perturbations, such as those from a companion in a binary system, offering valuable insights into their internal structure. For static tidal fields, asymptotically flat black holes in vacuum exhibit vanishing Love numbers in general relativity, even though this property is sensitive to the presence of an external environment. In this work we study the tidal deformability of black holes surrounded by thin accretion disks, showing that the Love numbers could be large enough to mask any effect of modified gravity and to intrinsically limit tidal tests of black-hole mimickers. Furthermore, we investigate the measurability of the tidal parameters with next-generation gravitational wave experiments, like LISA and Einstein Telescope. Our findings suggest that these parameters could be measured with high precision, providing a powerful tool to probe the environment around coalescing binary systems.