发表机构
Sichuan Technology and Business University（四川工商学院）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本文研究具有双光子球的有毛黑洞中自旋粒子混沌界，发现内分支始终满足界而外分支可违反，总角动量扩大违反区域，形变参数调节界，自旋影响较弱。
AI 中文摘要
在这项工作中，我们研究了具有双光子球结构的有毛黑洞时空中自旋测试粒子的不稳定圆轨道及相关的经典轨道混沌界。该背景支持两个不同的不稳定圆轨道分支，分别称为内分支和外分支。我们发现，在所考虑的参数范围内，内分支始终满足混沌界，而外分支上可能出现违反。这一行为与许多先前主要关注混沌界近地平线违反的研究形成对比，并揭示了混沌界对轨道分支的明显依赖性。我们的分析进一步表明，粒子的总角动量对局部轨道不稳定性有显著影响，并能扩大外分支上的界违反区域。同时，背景几何的形变参数通过修改轨道李雅普诺夫指数和黑洞表面引力来调节界的有效性。相比之下，粒子自旋的影响相对较弱，主要通过自旋-曲率耦合来移动现有的不稳定圆轨道和相应的临界边界。
英文摘要
In this work, we investigate the unstable circular orbits of spinning test particles and the associated classical orbital chaos bound in a hairy black hole spacetime admitting a double photon sphere structure. This background supports two distinct branches of unstable circular orbits, referred to as the inner and outer branches. We find that, within the parameter ranges considered, the inner branch always satisfies the chaos bound, whereas violations can occur on the outer branch. This behavior contrasts with many previous studies focusing primarily on near-horizon violations of the chaos bound and reveals a clear dependence of the bound on the orbital branch. Our analysis further shows that the total angular momentum of the particle has a pronounced effect on the local orbital instability and can enlarge the bound-violating region on the outer branch. Meanwhile, the deformation parameter of the background geometry regulates the validity of the bound by modifying both the orbital Lyapunov exponent and the black hole surface gravity. By contrast, the effect of the particle spin is comparatively weak and mainly shifts the existing unstable circular orbits and the corresponding critical boundaries through the spin-curvature coupling.
