Examining the influence of anisotropy on the fundamental mode of nonradial oscillation in neutron stars on a complete general relativistic scheme
完全广义相对论框架下各向异性对中子星非径向振荡基模的影响
The anisotropic influence on the f-mode frequency of oscillations and dimensionless tidal deformability of neutron stars is analyzed by employing the nonradial oscillation equations for the complete general relativity frame and tidal deformability equations, which are derived and modified from their standard form to introduce the anisotropic factor. The fluid inside the compact star obeys an equation of state constructed by matching microscopic nuclear and perturbative QCD calculations through a piecewise polytropic interpolating scheme. For the anisotropic profile, we use a local anisotropy which is regular along the whole star and vanishes both at the center and on the star's surface. We show that the f-mode oscillation frequency and dimensionless tidal deformability are noticeably affected by anisotropy. Finally, we investigate the correlation between the dimensionless tidal deformability inferred from the GW170817 event and the anisotropy parameter.
展开 ▾首次在完全广义相对论下统一分析各向异性对f模振荡与潮汐形变的影响,澄清了与Mondal & Bagchi等人工作的方程分歧,揭示了各向异性对引力波可探测性的系统效应。
中子星内部可能因强磁场、超流或相变等产生各向异性压力(Bowers+ 1974),其对非径向振荡的影响已在Cowling近似下被研究(Doneva+ 2012),而潮汐形变方面也有初步探讨(Biswas+ 2019)。近期在完全广义相对论框架下的工作(Lau+ 2024、Guedes+ 2026)揭示了各向异性对f模和拟正则模的显著修正,但不同团队导出的微扰方程存在分歧(如Mondal+ 2024、Mondal+ 2025)。本文澄清了分歧源于各向异性情形下热力学第一定律的处理,给出了与Lau+ 2024一致的方程,并首次将f模与潮汐形变进行联合分析。所得结果与GW170817潮汐形变约束(Abbott+ 2018)相容,表明当前观测尚难区分各向异性与物态效应,未来更高精度引力波数据及旋转中子星的各向异性研究将是突破方向。
预印本 2025-09-15 · 接收 2026-05-25 · 刊出 2026-07-16 · 收录 2026-07-22