标题： 非线性sigma模型中的自旋玻色子星与普适关系 显示英文标题

标题： Spinning boson stars in nonlinear sigma models and Universal Relations

摘要： 玻色子星是源自自引力复标量场解的假设性致密天体。在这项研究中，我们通过将标量场的动能项推广到非线性sigma模型的形式来扩展传统模型。具体而言，我们获得了由二维目标流形曲率以及各种自相互作用势参数化的一族模型的旋转玻色子星解。我们推导出这些解的全局性质和多极结构，作为目标空间曲率和自相互作用强度函数。我们的结果显示，目标流形中的非零曲率可能对解的结构产生显著影响，允许范围不同的质量和致密程度。然而，我们发现不同多极之间的关系与标准复标量星的情况一致，因此这类关系的普适性被扩展到了弯曲的目标空间。 显示英文摘要

摘要： Boson stars are hypothetical compact objects derived from solutions of a self-gravitating complex scalar field. In this study, we extend the traditional models by generalizing the kinetic term of the scalar field to that of a nonlinear sigma model. Concretely, we obtain spinning boson star solutions for a family of models parametrized by the curvature of their two-dimensional target manifold, as well as for various self-interaction potentials. We derive the global properties and multipolar structure of these solutions as a function of both the curvature of the target space and the strength of self-interactions. Our results suggest that a nonzero curvature in the target manifold can have a significant impact on the structure of the solutions, allowing for a range of notably different masses and degrees of compactness. However, we find that the relations between different multipoles are consistent with those for the standard complex scalar stars, and hence the universality of such relations is extended to curved target spaces.