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arXiv 2511.02443nucl-thastro-ph.HEgr-qc
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中子星中引力束缚暗物质$f$模振荡的广义相对论研究

General relativistic study of $f$-mode oscillations in neutron stars with gravitationally bound dark matter

National Institute of Technology, Rourkela(鲁尔基拉国家技术学院)

Pinku Routaray

AI总结:

在全广义相对论框架下,研究混合引力束缚暗物质的中子星的非径向振荡,通过求解轴向和极向扰动方程计算$f$模频率和引力波阻尼时间,并建立通用关系及GW170817约束。

摘要:

在全广义相对论框架下,对混合引力束缚暗物质(DM)的中子星(NS)的非径向振荡进行了全面研究。采用相对论平均场(RMF)形式描述强子状态方程(EOS),同时引入一个物理上合理的、引力俘获的非均匀费米子希格斯-门户DM组分来模拟DM混合NS。DM分布由两个自由参数表征:$\alpha M_\chi$,一个结合DM浓度和DM候选粒子质量的有效控制参数;以及$\beta$,控制DM密度分布的陡度参数。通过求解涉及轴向和极向模式的广义相对论扰动方程,计算了DM混合NS的准正则模(QNM)特性,如基模($f$)频率及其对应的引力波(GW)阻尼时间($\tau$)。研究表明,DM分布的引入如何改变$f$模频率并增强阻尼率,反映了物质与时空扰动之间更强的耦合。考虑DM效应,还进行了DM模型参数、NS可观测量和QNM特性之间的相关性分析。针对DM混合NS模型,构建并校准了$f-C-\tau$和$f-\Lambda -\tau$关系的解析拟合。基于星震学通用关系(URs),利用GW170817事件的多信使约束,通过将潮汐形变参数$\Lambda_{1.4}$映射到$(f_{1.4},\tau_{1.4})$空间,为标准DM混合NS模型的振荡特性提供了观测界限。

英文摘要:

A comprehensive investigation of nonradial oscillations in neutron star (NS) admixed with gravitationally bounded dark matter (DM) is carried out within the framework of full general relativity. The relativistic mean field (RMF) formalism is employed to illustrate the hadronic equation of state (EOS), while a physically motivated, gravitationally captured, non-uniform fermionic Higgs-portal DM component is incorporated to model DM-admixed NS. The DM distribution is characterized by two free parameters: $αM_χ$, an effective control parameter that combines the DM concentration and the DM candidate mass, and $β$, a steepness parameter controlling the DM density distribution. The quasi normal mode (QNM) characteristics such as fundamental ($f$) mode frequency and its corresponding gravitational-wave (GW) damping time ($τ$) is calculated for DM-admixed NS by solving the general relativistic perturbed equations involving axial as well as polar modes. The study demonstrates how the inclusion of DM distribution modifies the $f$-mode frequency and enhances the damping rate, reflecting a stronger coupling between matter and spacetime perturbations. Considering DM effects, the correlation analysis among DM model parameters, NS observables and QNM characteristics also carried out. Analytic fits for the $f-C-τ$ and $f-Λ-τ$ relations are constructed and calibrated for DM-admixed NS models. Building upon asteroseismic universal relations (URs), multimessenger constraint from the GW170817 event is employed by mapping the tidal deformability $Λ_{1.4}$ into the $(f_{1.4},τ_{1.4})$ space, thereby providing observational bounds on the oscillation properties of canonical DM-admixed NS model.

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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