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arXiv 2103.07266gr-qc
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旋转中子星的贝叶斯逆问题

Bayesian Inverse Problem of Rotating Neutron Stars

Sebastian H. Völkel, Christian J. Krüger, Kostas D. Kokkotas

摘要:

在这项工作中,我们提供了一个框架,连接旋转中子星的恒星结构的同向旋转和反向旋转的$f$模式的频率。这些模式的准确计算,为现实的状态方程最近已经提出,他们在这里被用作输入的贝叶斯分析的反问题。这允许定量地重建基本的中子星参数,例如质量、半径、旋转速率或通用标度参数。我们发现,未来的观测两个$f$模式的频率,结合贝叶斯分析,将提供一个有前途的方向来解决逆恒星问题。我们提供了两个互补的方法,一个是状态方程依赖和一个只使用通用的标度关系。我们讨论了每种方法的优点和缺点,如可能的偏见和鲁棒性。重点是天体物理动机的情况下,知情的中子星质量或旋转速率的先验信息可以提供和研究他们如何影响的结果。

英文摘要:

In this work we provide a framework that connects the co-rotating and counter rotating $f$-mode frequencies of rotating neutron stars with their stellar structure. The accurate computation of these modes for realistic equations of state has been presented recently and they are here used as input for a Bayesian analysis of the inverse problem. This allows to quantitatively reconstruct basic neutron star parameters, such as the mass, radius, rotation rate or universal scaling parameters. We find that future observations of both $f$-mode frequencies, in combination with a Bayesian analysis, would provide a promising direction to solve the inverse stellar problem. We provide two complementary approaches, one that is equation of state dependent and one that only uses universal scaling relations. We discuss advantages and disadvantages of each approach, such as possible bias and robustness. The focus is on astrophysically motivated scenarios in which informed prior information on the neutron star mass or rotation rate can be provided and study how they impact the results.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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