激发玻色子星的径向谱与动力学特征
Radial spectra and dynamical signatures of excited boson stars
浏览论文内容
中文总结 AI 辅助
该研究针对微型及四次自相互作用玻色子星，构建正则微扰框架计算其径向本征值，发现受约束径向模式零点与ADM质量等临界点重合，明确了相关量间的关系。
中文摘要 AI 辅助
我们计算了球对称玻色子星沿平衡分支的最低径向模式，该分支具有固定数量的径向节点，同时考虑了微型玻色子星和具有四次自相互作用的模型。通过将脉动方程重新表述为在背景标量场零点处仍保持正则的加性变量，本征值问题可直接通过激发构型的节点进行积分。对于所有研究的分支，受约束的基态径向本征值的第一个零点，在数值分辨率范围内，与阿诺维特-德塞-米斯纳（ADM）质量、诺特定理电荷和结合能的第一个同时临界点重合。我们进一步评估了在激发玻色子星的非线性球对称演化中识别出的阈值模型的径向本征值，发现其与节点数和自相互作用强度存在简单的经验关联。我们的结果为激发玻色子星提供了一个正则微扰框架，并阐明了受约束径向模式、平衡临界点与非线性稳定性判据之间的关系。
英文摘要
We compute the lowest radial mode of spherically symmetric boson stars along equilibrium branches with a fixed number of radial nodes, considering both mini boson stars and quartically self-interacting models. By reformulating the pulsation equations in additive variables that remain regular at the zeros of the background scalar field, the eigenvalue problem can be integrated directly through the nodes of excited configurations. For all branches examined, the first zero of the constrained fundamental radial eigenvalue coincides, within numerical resolution, with the first simultaneous critical point of the Arnowitt--Deser--Misner (ADM) mass, Noether charge, and binding energy. We further evaluate the radial eigenvalue for the threshold models identified in nonlinear spherical evolutions of excited boson stars and find a simple empirical correlation with the node number and self-interaction strength. Our results provide a regular perturbative framework for excited boson stars and clarify the relation between constrained radial modes, equilibrium critical points, and nonlinear stability diagnostics.
