AI 中文总结
该研究证明足够缓慢的均匀旋转可稳定超大质量恒星，在质量临界绝热指数左侧邻域内均有效，其线性分析关键在于自相似族的结构性质。
AI 中文摘要
我们证明，任何足够缓慢的均匀旋转都能使超大质量恒星在轴对称扰动下保持稳定，且在质量临界指数左侧邻域内的所有绝热指数下，该稳定性均持续存在。线性分析的关键新要素是自相似族继承自质量临界标度的结构性质：相关自相似方向成为修正线性化算子的约化核方向。
英文摘要
We prove that any sufficiently slow uniform rotation stabilizes the supermassive star under axi-symmetric perturbations, and the stability persists for every adiabatic exponent in a left neighborhood of the mass-critical one. The key new ingredient of the linear analysis is a structural property of the self-similar family inherited from the mass-critical scaling: the associated self-similar direction becomes a reduced kernel direction of a modified linearized operator.
