热效应对热白矮星I-Love普适性的破坏
Thermal Breaking of the I-Love Universality for Hot White Dwarfs
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中文总结 AI 辅助
该研究用MESA构建不同温度的两类白矮星模型，发现高温会破坏I-Love普适关系，冷却可恢复，揭示了其破坏源于等密度面自相似性丧失，明确了I-Love-Q关系的适用条件。
中文摘要 AI 辅助
致密天体的普适I-Love-Q关系在引力波天文学中有重要应用，但热效应会破坏低质量白矮星的这类关系。本研究采用恒星演化代码MESA构建不同温度下0.15倍太阳质量氦核白矮星与0.6倍太阳质量碳氧核白矮星的真实模型，利用Clairaut-Radau方程定量提取内部等密度面偏心率的径向变化。数值结果表明，更高的中心温度会放大偏心率变化，使I-Love关系偏离零温钱德拉塞卡模型，后续冷却则会恢复该关系。这证实温度诱导的普适关系破坏本质上由等密度面自相似性丧失驱动，为I-Love-Q关系在致密天体中的适用条件提供了关键见解。
英文摘要
The universal I-Love-Q relations for compact stars have significant applications in gravitational-wave astronomy, but thermal effects can break these relations in low-mass white dwarfs. In this work, we employ the stellar evolution code MESA to construct realistic models of $0.15 \, M_{\odot}$ helium-core and $0.6 \, M_{\odot}$ carbon-oxygen core white dwarfs at various temperatures. By utilizing the Clairaut-Radau equation, we quantitatively extract the radial variation of the eccentricity of internal isodensity surfaces. Our numerical results demonstrate that higher central temperatures amplify the eccentricity variation, causing the I-Love relations to deviate from the zero-temperature Chandrasekhar model, whereas subsequent cooling restores them. This confirms that the temperature-induced violation of the universal relations is fundamentally driven by the loss of self-similarity in isodensity surfaces, providing key insights into the applicability conditions of I-Love-Q relations in compact objects.
