发表机构
National Technical University of Athens; Université de Genève（雅典国立技术大学; 日内瓦大学）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
研究利用因果性等约束将中子星潮汐响应转化为全纯自映射，通过Schwarz-Pick定理给出动力学潮汐修正上限，并与最新计算对比，发现界限在百分之几内饱和，证实f模主导性，可提供不依赖状态方程的动力学潮汐上限。
AI 中文摘要
中子星的频率相关潮汐响应受到因果性、现实性和被动性的约束，在适当条件下，这些约束将经过适当重标度的响应转化为上半复频率平面上的全纯自映射。随后，Schwarz--Pick定理从上方限制了潮汐形变性的主导动力学修正。在本工作中，我们将该界限与文献中最新的动力学潮汐响应计算结果进行对比，这些计算还表明静态潮汐形变性及其在频率二阶修正之间存在紧密关联。我们发现该界限被饱和至百分之几以内，这定量证实了相对论性区域中f模主导性。因此，将静态形变性与f模频率的独立测定相结合，可能提供一种不依赖状态方程的动力学潮汐上限。
英文摘要
The frequency-dependent tidal response of a neutron star is constrained by causality, reality and passivity, which turn a suitably rescaled response into a holomorphic self-map of the upper complex frequency half-plane after some suitable conditions. The Schwarz--Pick theorem then bounds the leading dynamical correction to the tidal deformability from above. In this work we confront this bound with the most recent calculations of the dynamical tidal response in the literature which have also shown that the static tidal deformability and its correction at second order in frequency are tightly correlated. We find that the bound is saturated to within a few per cent, a quantitative confirmation of f-mode dominance in the relativistic regime. The combination of the static deformability with an independent determination of the f-mode frequency thus may provide an equation-of-state-independent upper limit on the dynamical tide.
Comments9 pages, 4 figures
