General relativistic treatment of f -mode oscillations of hyperonic stars

We present a systematic study of f -mode oscillations in neutron stars containing hyperons, ex-tending recent results obtained within the Cowling approximation to linearized General Relativity. Employing a relativistic mean field model, we find that the Cowling approximation can overesti-mate the quadrupolar f -mode frequency of neutron stars by up to 30% compared to the frequency obtained in the linearized general relativistic formalism. Imposing current astrophysical constraints, we derive updated empirical relations for gravitational wave asteroseismology. The frequency and damping time of quadrupole f -mode oscillations of hyperonic stars are found to be in the range of 1.47 - 2.45kHz and 0.13 - 0.51 sec respectively. Our correlation studies demonstrate that among the various parameters of the nucleonic and hyperonic sectors of the model, the nucleon effective mass shows the strongest correlation with mode characteristics and neutron star observables. Estimates for the detectability of f -modes in a transient burst of gravitational waves from isolated hyperonic stars is also provided.

我们对含有超子的中子星的f模振荡进行了系统研究，将近期在考林近似下得到的结果拓展到线性化广义相对论范畴。利用相对论平均场模型，我们发现与线性化广义相对论形式体系下得到的频率相比，考林近似对中子星四极f模频率的高估幅度可达30%。通过施加当前的天体物理学限制条件，我们推导出了用于引力波星震学的最新经验关系。研究发现，含超子恒星的四极f模振荡频率范围为1.47 - 2.45千赫兹，阻尼时间范围为0.13 - 0.51秒。我们的相关性研究表明，在该模型的核子与超子部分的各种参数中，核子有效质量与模式特征及中子星可观测特性的相关性最强。此外，我们还对来自孤立含超子恒星的引力波瞬态爆发中f模的可探测性进行了估计。