AI 中文总结
本研究解析计算了虫洞的标量潮汐Love数，发现喉道内外模式响应不同，且虫洞趋近黑洞时喉道外贡献消失，喉道内响应退化为Schwarzschild黑洞结果。
AI 中文摘要
我们研究了可作为黑洞可行模拟体的虫洞的动态标量潮汐Love数，重点聚焦于薄壳Schwarzschild和Damour-Solodukhin几何。利用匹配的近区和远区展开，我们确定了它们在低频区域的潮汐响应。长喉道的存在引入了一个额外的特征尺度，并自然地将模式分为两类。喉道外模式探测全局虫洞几何，并对两个渐近区域均敏感，而喉道内模式仅探测虫洞的一侧，并有效地将喉道视为黑洞视界。我们解析地推导了这两类模式的标量潮汐Love数，并表明它们的耗散部分表现出不同的低频行为，反映了散射过程中是一个还是两个势垒参与。我们进一步发现，当虫洞趋近黑洞极限时，喉道外贡献逐渐变得可忽略，而喉道内响应则平滑地简化为Schwarzschild黑洞的响应。这些结果表明，虫洞的潮汐响应关键取决于扰动是否探测喉道的全局结构。
英文摘要
We study the dynamical scalar tidal Love numbers of wormholes that provide viable mimickers for black holes, focusing on thin-shell Schwarzschild and Damour-Solodukhin geometries. Using a matched near- and far-zone expansion, we determine their tidal response in the low-frequency regime. The presence of a long throat introduces an additional characteristic scale and naturally separates the modes into two classes. Super-throat modes probe the global wormhole geometry and are sensitive to both asymptotic regions, whereas sub-throat modes probe only one side of the wormhole and effectively perceive the throat as a black-hole horizon. We derive the scalar tidal Love numbers analytically for both classes of modes and show that their dissipative parts exhibit distinct low-frequency behavior, reflecting whether one or both potential barriers participate in the scattering process. We further find that, as the wormhole approaches the black-hole limit, the super-throat contribution becomes progressively negligible, while the sub-throat response smoothly reduces to that of a Schwarzschild black hole. These results demonstrate that the tidal response of wormholes depends crucially on whether the perturbation probes the global structure of the throat.
Comments46 pages, 3 figures; V2: minor revisions
