The detection of event GW170817 and its electromagnetic counterpart started the era of multi‐messenger astronomy with gravitational waves. The observational constraints from this event and the estimation of mass and radius of PSR J0030 + 0451 is being used to get insights related to the nature of matter inside these compact objects. In this work, we construct hybrid equations of state using modern parametrizations of the relativistic mean field model for the outer core and a generalization of the Constant Speed of Sound parametrization that allow to study sharp sequential phase transitions in the inner core. Moreover, we study non‐radial perturbations of these stellar configurations using the relativistic Cowling approximation. We focus our attention on the g‐modes that arise due to the sharp phase transitions and show that, due to the second phase transition, a new g‐mode appears, g₂‐mode, with frequencies smaller that ∼0.5 kHz.

中文翻译：

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杂星的不连续性g-模式：连续相变的影响

事件GW170817及其电磁事件的探测开始了利用引力波的多信使天文学时代。来自该事件的观测约束以及PSR J0030 + 0451的质量和半径的估计被用于获得与这些紧凑对象内部物质的性质有关的见解。在这项工作中，我们使用相对论平均场模型的现代参数化方法为外核构造了混合的状态方程，并对声速恒定参数化进行了概括，从而可以研究内核的急剧连续相变。此外，我们使用相对论的考林近似方法研究了这些恒星构型的非径向扰动。我们将注意力集中在g由于急剧的相变而产生的模态，表明由于第二相变，出现了一种新的g模式，即g ₂模式，其频率小于约0.5 kHz。