不同状态方程下夸克星的径向和准径向振荡分析
Analysis of radial and quasiradial oscillations in quark stars for different equations of state
- Department of Physics, Dibrugarh University（迪布鲁加尔大学物理系）
机构由 AI 辅助整理，请以论文原文为准。
AI总结：
本研究分析三种夸克物质状态方程下夸克星的径向和准径向振荡，发现模式分离依赖质量、半径和温度，旋转使模式偏移并影响衰减时间，基本模式频率低于2 kHz。
AI中文摘要：
我们研究了由三种夸克物质状态方程描述的夸克星，并在缓慢旋转的相对论近似下分析了它们的径向和准径向振荡模式。所考虑的状态方程分别描述了无质量夸克、有质量夸克以及具有温度相关胶子质量的有质量夸克。我们对径向模式的分析表明，模式分离取决于给定致密度下的恒星质量和半径，以及恒星温度。所考虑的夸克星模型满足Hartle、Thorne和Chitre形式体系的缓慢旋转相对论条件，允许将旋转视为对非旋转构型的小扰动。我们发现，尽管质量更大、体积更大的恒星可以表现出更大的表面偏心率和四极形变，但它们更强的自引力导致其形变倾向低于质量更小、体积更小的恒星。对于所有模型，质量分布的变化向恒星表面增大，而压力、能量密度和数密度的变化在中心附近保持较小，并朝表面变得更加显著。更致密的恒星表现出更强的局部惯性系扭转，但在给定角速度下框架拖曳较弱。旋转使振荡模式偏离其非旋转值，并导致不同角速度下不同的振动衰减时间。这里考虑的基本模式频率低于2 kHz，并在所研究的旋转构型中表现出非连续行为。
英文摘要：
We investigate quark stars (QSs) described by three quark matter (QM)equations of state (EoSs) and analyse their radial and quasiradial oscillation modes within the slowly rotating relativistic approximation. The considered EoSs describe massless quarks, massive quarks, and massive quarks with a temperature-dependent gluon mass. Our analysis of radial modes shows that the mode separation depends on the stellar mass and radius for a given compactness, as well as on the stellar temperature. The considered QS models satisfy the slowly rotating relativistic condition of Hartle, Thorne and Chitre formalism, allowing rotation to be treated as a small perturbation of the non-rotating configuration. We find that, although more massive and larger stars can exhibit greater surface eccentricity and quadrupole deformation, their stronger self-gravity results in a lower tendency to deform than less massive and smaller stars. For all models, the variation in mass distribution increases towards the stellar surface, while the variations in pressure, energy density, and number density remain small near the center and become more pronounced towards the surface. More compact stars exhibit stronger twisting of the local inertial frame but weaker frame dragging for a given angular velocity. Rotation shifts the oscillation modes from their non-rotating values and leads to different vibrational decay times at different angular velocities. The fundamental modes considered here exhibit frequencies below $2$ kHz and show non-continuous behaviour across the investigated rotational configurations.
