AI 中文总结
研究嵌入吸积盘的类史瓦西奇异致密天体（ECO）的潮汐形变，通过相对论薄盘解建模隔离环境贡献，发现吸积时标量和自旋 -1响应对致密性的对数依赖不变，盘放大响应幅度，有助于引力波观测区分ECO与黑洞。
AI 中文摘要
致密天体的潮汐形变是强引力场及致密天体性质的灵敏探针，能体现其对伴星外部扰动场的响应。在实际天体物理环境中，致密天体常处于物质丰富的环境，这会显著改变其响应。本文研究了嵌入准静态、自引力薄吸积盘的类史瓦西奇异致密天体（ECO）的静态可变形性。通过用相对论薄盘解对外部时空建模，隔离了环境对标量和自旋-1响应的贡献。结果表明，对于完全反射的ECO，由近视界物理设定的标量和自旋-1响应对致密性的特征对数依赖性在吸积情况下仍保持不变，盘主要显著放大了响应的整体幅度。这些发现突出了环境效应会严重影响潮汐特征，同时在合适条件下仍可在引力波观测中区分无视界致密天体和黑洞。
英文摘要
Tidal deformation of a compact object serves as a sensitive probe of the strong-gravity regime and nature of the compact object. It captures how a compact object responds to the external perturbing field of a companion. In realistic astrophysical settings, compact objects are typically immersed in matter-rich environments, which can significantly alter the response. In this work, we investigate the static deformability of Schwarzschild-like exotic compact objects (ECOs) embedded in a quasi-stationary, self-gravitating thin accretion disk. By modelling the external spacetime with a relativistic thin-disk solution, we isolate environmental contributions to the scalar and spin-1 response while maintaining analytical control. We show that, for perfectly reflecting ECOs, the characteristic logarithmic dependence of the scalar and spin-1 response on compactness, set by near-horizon physics, remains intact even in the presence of accretion. The disk primarily amplifies the overall magnitude of the response significantly. These findings highlight that environmental effects can seriously impact tidal signatures, while still permitting, under suitable conditions, the distinguishability of horizonless compact objects from black holes in gravitational-wave observations.
Comments18 pages, 7 figures, 1 table
