Tidal deformation and strain accumulation of solid compact stars
固态致密星的潮汐形变与应变积累
The tidal deformability of compact stars encodes the equation of state of dense matter, and gravitational-wave observations such as GW170817 have begun to constrain it under the assumption of a fluid interior. Yet whether the interior of pulsar-like compact stars is fluid or solid remains largely untested, despite the distinct tidal responses the two states predict. In this work, based on the strangeon-star model, we develop a framework for modeling tidal deformation in solid compact stars. Adopting a shear modulus of $μ= 10^{34}\,\mathrm{erg}\,\mathrm{cm}^{-3}$, we find a relative difference of approximately $40\%$ in tidal deformability between solid and fluid strangeon stars of $1.4\,M_\odot$, corresponding to a $\sim 10\%$ deviation from the universal I--Love relation. We further model the accumulation of internal strain during binary inspiral and find that it peaks near the stellar center. When the gravitational-wave frequency reaches several hundred $\rm Hz$, large-scale fracturing occurs and can release up to $\sim 10^{46}\,\mathrm{erg}$ of elastic energy, sufficient to power short $γ$-ray-burst precursors. This solid-to-fluid transition alters the tidal response and imprints on the waveform and phase of the emitted gravitational radiation. Combined with the precursor electromagnetic emission, these gravitational-wave signatures offer a multi-messenger avenue to test the solid nature of pulsar-like compact stars.
展开 ▾首次在奇子星框架下统一建模潮汐响应与应变破裂,揭示全固态天体与流体星间显著差异,提出利用引力波与短伽马暴前兆联合检验致密星固态本质的新途径。
致密星内部的物态方程是强相互作用的未解问题。前期研究中,中子星薄壳的潮汐修正可忽略不计 Gittins+2020,流体奇异星(strangeon star)的I–Love关系也与中子星高度一致 Gao+2021。但完全固态的奇异夸克星在潮汐形变上已展现显著差异 Lau+2017,且其破裂过程有望在引力波中留下印记 Lai+2019,并为短伽马暴前兆提供能量 Zhou+2024。本文在此基础上,首次在奇子星模型中采用Lennard-Jones物态方程和全固态假设,系统给出了潮汐形变(约40%偏差)与应变积累的定量结果,指出破裂始于星体中心而非表面。展望未来,下一代引力波探测器及多信使观测有望通过潮汐响应、波形突变和前兆辐射联合约束剪切模量及破裂强度,从而检验致密星的固态本质和奇子星假说。