发表机构
Shandong University(山东大学)
机构由 AI 辅助整理,请以论文原文为准。AI 中文总结
通过三维模拟和线性稳定性分析,研究了旋转玻色子星的动力学不稳定性,发现其环状与双星状构型间的准周期转换,并构建三模哈密顿量解释该现象,排斥性自相互作用可延长其寿命。
AI 中文摘要
我们研究了由Gross-Pitaevskii-Poisson方程描述的具有接触自相互作用的旋转玻色子星的动力学不稳定性。通过三维模拟,我们确认旋转玻色子星在早期非线性阶段会在环状和双星状密度构型之间进行准周期转换。我们发展了一种系统的线性稳定性分析来识别驱动这种不稳定性的模式,并表明排斥性自相互作用可以显著延长旋转玻色子星的寿命。我们进一步构建了一个三模哈密顿量来描述早期非线性阶段,这解释了准周期转换。这一分析框架与模拟结果相当吻合,并为理解旋转玻色子星的动力学提供了清晰的图像。
英文摘要
We investigate the dynamical instability of rotating boson stars described by the Gross--Pitaevskii--Poisson equations with contact self-interactions. Through three-dimensional simulations, we confirm that the rotating boson star undergoes a quasiperiodic conversion between ring-like and twin-star-like density configurations in the early nonlinear stage. We develop a systematic linear stability analysis to identify the modes driving this instability and show that repulsive self-interactions could significantly increase the lifetime of the rotating boson stars. We further construct a three-mode Hamiltonian to describe the early nonlinear stage, which explains the quasiperiodic conversion. This analytical framework agrees reasonably well with the simulation results and provides a clear picture to understand the dynamics of rotating boson stars.