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Updated: Jul 17, 2025

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Scattering And Absorption of Light in Planetary Regoliths
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分数相对论多热带气体球的分析
Mohamed S Aboueisha1, Mohamed I Nouh2, Emad A-B Abdel-Salam3
1Astronomy Department, National Research Institute of Astronomy and Geophysics, Helwan, 11421, Cairo, Egypt.
Scientific reports
|August 31, 2023
概括
这项研究引入了分数托尔曼-奥本海默-沃尔科夫 (FTOV) 方程来建模恒星配置. 通过加强与欧勒-阿贝尔和帕德方法的融合,它揭示了分数和相对论参数如何影响恒星质量和体积.
科学领域:
- 天体物理学和广义相对论
- 在物理学中的分数计算.
背景情况:
- 相对论效应对于理解诸如白矮星和中子星等各种恒星配置至关重要.
- 托尔曼-奥本海默-沃尔科夫 (TOV) 方程描述了广义相对论中的水静平衡.
研究的目的:
- 在修改后的里曼-利乌维尔 (mRL) 框架中,制定部分托尔曼-奥本海默-沃尔科夫 (FTOV) 方程.
- 开发FTOV方程的分析解决方案,并使用先进的近似技术改善它们的融合.
主要方法:
- 分数TOV (FTOV) 方程在修改后的里曼·利乌维尔 (mRL) 框架中的表述.
- 应用欧勒-阿贝尔转换和帕德近似来增强强数列解决方案的收.
- 计算20个分数气体模型的多热带指数n = 0,0.5,1,1.5,2和各种相对论参数.
主要成果:
- 研究了分数和相对论参数对恒星模型的影响,观察体积和质量的减少与n=0.5.5的参数增加.
- 观察到复杂的体积变化与不同的相对论参数为n=1.1.
- 发现,随着分数和相对论参数的增加,n=1.5和n=2.2的体积下降.
- 为白矮星 (n=3) 计算的最大质量和最小半径,并指出较低的分数参数增加了质量极限 (1.63348 M).
结论:
- 该研究成功地制定并解决了FTOV方程,提供了对恒星结构分数效应的见解.
- 这些发现突出了分数和相对论参数对恒星质量,体积和稳定性极限的重大影响.
- 增强的分析解决方案提供了比经典模型更全面的了解紧的恒星物体.
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