$f(T)$引力中采用Bose-Einstein密度描述的各向异性恒星相对论模型
Relativistic model of anisotropic star with Bose-Einstein density depiction in $f(T)$ gravity
AI总结：
本文在$f(T)$远平行引力中结合袋模型EoS与Bose-Einstein暗物质密度剖面，构建并验证了稳定的各向异性致密星模型。
摘要：
本文提出了一种在$f(T)$远平行引力背景下、局限于物理暗物质的各向异性致密星新模型。该模型基于袋模型类型的物态方程（EoS）以及Bose-Einstein暗物质密度剖面。所导出的解满足能量条件、因果性条件以及关于稳定因子和绝热指数的必要条件，表明它们具有良好的物理行为，并代表物理且稳定的物质构型。我们还确定了表面处的最大质量、表面红移和致密度参数。有趣的是，所有这些数值都落在指定范围内，支持了我们方案的物理可行性。此外，通过改变模型参数$k$所导出的不同质量对应于五个致密、真实的致密天体，包括LMC X-4、Her X-1、4U 1538-52、SAX J1808.4-3658和Cen X-3。我们还图示说明了非旋转恒星能量密度和转动惯量的径向对称剖面。
英文摘要：
This article presents a new model for anisotropic compact stars that are confined to physical dark matter in the background of $f(T)$ teleparallel gravity. The model is based on the equation of state (EoS) of the bag model type and the Bose-Einstein dark matter density profile. The derived solutions meet the energy conditions, the causality conditions, and the required conditions on the stability factor and adiabatic index, indicating that they are physically well-behaved and represent the physical and stable matter configuration. We also determine the maximum mass, surface redshift, and compactness parameter at the surface. Interestingly, all of these numbers fall within the specified range, supporting the physical viability of our proposal. Additionally, the various masses that are derived for varying the model parameter $k$ correspond to five compact, realistic compact objects, including LMC X-4, Her X-1, 4U 1538-52, SAX J1808.4-3658, and Cen X-3. We have also illustrated the radially symmetric profiles of energy density and the moment of inertia for non-rotating stars.
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