发表机构
China University of Petroleum（中国石油大学）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本文通过三阶WKB方法计算准正则模，分析了规范声学黑洞在标量场、电磁场和狄拉克场扰动下的稳定性，结果表明该黑洞是稳定的。
AI 中文摘要
本文研究了规范声学黑洞在非最小耦合标量场、电磁场和狄拉克场扰动下的稳定性。利用三阶WKB近似方法计算了准正则模(QNMs)。结果表明，对于这三种扰动，有效势的值均为正，而QNMs的虚部为负，规范声学黑洞是稳定的。具体而言，对于标量场扰动，有效势和QNMs依赖于角量子数$l$、泛音数$n$和耦合参数${\zeta}$，且${\zeta}$越大，扰动衰减越快。对于电磁场扰动，有效势和QNMs依赖于$l$和$n$。对于狄拉克场扰动，有效势和QNMs依赖于$n$和总角量子数$|k|$。
英文摘要
In this paper, we investigate the stability of canonical acoustic black hole under the perturbation of non-minimally coupling scalar field, electromagnetic field and Dirac field. The quasi-normal modes(QNMs) are computed using the three-order WKB approximation method. The results show that, for all these three kinds of perturbation, the values of the effective potential are positive, while the imaginary parts of QNMs are negative, the canonical acoustic black hole is a table. In details respectively, for scalar field perturbation, the effective potential and the QNMs depend on the angular quantum number $l$, the overtone number $n$, and the coupling parameter ζ, the perturbation decays more rapidly for bigger ζ. For electromagnetic field perturbation, the effective potential and QNMs depend on $l$ and $n$. For Dirac field perturbation, the effective potential and QNMs depend on $n$ and the total angular quantum number | k |.
Comments17 pages,10 figures, 5 tables
