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arXiv 2512.01641astro-ph.HEgr-qchep-phhep-thmath-phmath.MP
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中子-暗物质混合星的稳定性边界

Stability Boundary of Neutron-Dark Matter Mixed Stars

Shanghai University(上海大学);Shanghai Key Lab for Astrophysics(上海市天体物理重点实验室);Shanghai Key Laboratory of High Temperature Superconductors(上海市高温超导重点实验室)

Xiao-Ding Zhou, Tian-Shun Chen, Si-Man Wu, Kilar Zhang

AI总结:

严格证明双流体星模型中零频径向振荡模式与静态临界曲线准则的等价性,并推广到多流体系统,发现暗物质混合中子星的稳定构型在三维参数空间中形成曲面,包含具有相同质量和半径但内部组成不同的“双星”。

摘要:

关于双流体星模型的稳定性,我们简要回顾混合星情况后,严格证明了零频径向振荡模式的出现与混合星静态临界曲线准则之间的等价性。这建立了两个独立发展的稳定性准则之间的充分条件关系。尽管这种联系在先前对混合星的研究中常被隐含假设,但很少被明确证明。我们的推导可推广到一般多流体系统。作为示例,我们考虑暗物质混合中子星模型,并展示其稳定性边界与单流体星不同。在这种情况下,稳定构型在由中心压强、质量和半径张成的三维参数空间中形成一个曲面,从而产生一类稳定的混合星。这类混合星包括具有相同质量和半径但内部组成和结构不同的“双星”。这些结果为解释致密星观测和通过天体物理测量限制暗物质性质提供了有用的框架。

英文摘要:

Regarding the stability of two-fluid star models, we rigorously prove the equivalence between the emergence of a zero-frequency radial oscillation mode and the static critical-curve criterion for mixed stars, after briefly reviewing the hybrid star case. This establishes a sufficient-condition relation between two independently developed stability criteria. Although this connection has often been implicitly assumed in previous studies of mixed stars, it has rarely been demonstrated explicitly. Our derivation can be extended to general multi-fluid systems. As an illustrative example, we consider dark matter-admixed neutron star models and show that their stability boundary differs from that of single-fluid stars. In this case, stable configurations form a surface in the three-dimensional parameter space spanned by central pressure, mass, and radius, giving rise to a class of stable mixed stars. This class includes "twin stars" with identical masses and radii but distinct internal compositions and structures. These results provide a useful framework for interpreting compact star observations and for constraining dark matter properties through astrophysical measurements.

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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