We explore the existence and configurations of static and slowly rotating neutron stars (NSs) within a specific truncation of teleparallel scalar torsion theory. In this model, a scalar field ϕ is non-minimally coupled to the torsion scalar as ξTϕ ², in the presence of the scalar potential V(ϕ) = -μ ² ϕ ²/2 + λϕ ⁴/4. We establish the hydrostatic equilibrium equations for the static scenario and numerically solve them for both interior and exterior regions, employing appropriate boundary conditions near the center and at a distant location far away from the star's surface. Radial profiles of metric functions and the scalar field, alongside mass-radius diagrams, are plotted, utilizing four different realistic equations of state (EOS). Our results align closely with observational constraints from the GW170817 event, revealing a maximal mass of 2.37 M _⊙ achieved with the BSk21 EOS for a coupling parameter ξ = 0.25. Extending our analysis to encompass slow rotation, we establish the relationship between the star's moment of inertia and its mass. Furthermore, we explore future observations of NSs utilizing the redshift surface observable. Finally, we demonstrate the validity of the universality relation between the two forms of normalized moment of inertia within teleparallel scalar torsion theory with non minimal coupling.

中文翻译：

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非最小耦合标量扭转理论中的中子星

我们在远平行标量挠率理论的特定截断范围内探索静态和缓慢旋转的中子星（NS）的存在和配置。在此模型中，标量场φ与扭转标量非最小耦合为ψT ψ ²、存在标量势的情况下V（φ) = -μ ² φ ² /2 + λφ ⁴ /4。我们建立了静态场景的流体静力平衡方程，并在中心附近和远离恒星表面的较远位置采用适当的边界条件，对内部和外部区域进行数值求解。利用四个不同的现实状态方程 (EOS) 绘制了度量函数和标量场的径向轮廓以及质量半径图。我们的结果与 GW170817 事件的观测限制紧密一致，显示最大质量为 2.37中号 _⊙用 BSk21 EOS 实现耦合参数Ψ = 0.25。将我们的分析扩展到慢速旋转，我们建立了恒星的转动惯量与其质量之间的关系。此外，我们利用红移表面可观测值探索未来对 NS 的观测。最后，我们证明了非最小耦合远程平行标量扭转理论中两种形式的归一化转动惯量之间普遍关系的有效性。