| 摘要: |
| 研究了Horndeski带毛黑洞的引力拟正则模（QNMs）。利用有限元方法，讨论了拟正则模与黑洞参数之间的关系。拟正则模的振荡频率和衰减速率都随着带毛黑洞的标量荷Q的增加而增加。而振荡频率和衰减速率随着黑洞质量M的增加而降低。当扰动的角动量l增加时，拟正则模的振荡周期减小。然而，对于不同l值，拟正则模的衰减率几乎没有变化。研究结果表明：Horndeski带毛黑洞是稳定的． |
| 关键词: Horndeski带毛黑洞 拟正则模（QNMs） 有限元方法 |
| DOI：10.20192/j.cnki.JSHNU(NS).2024.06.004 |
| 分类号:O41 |
| 基金项目:上海师范大学校级项目 |
|
| Gravitational perturbations in a Horndeski hairy black hole spacetimes |
|
Binbin DAI, Ping XI
|
|
Mathematics and Science College, Shanghai Normal University, Shanghai 200234, China
|
| Abstract: |
| In this paper, we investigate the gravitational quasi-normal modes （QNMs） of Horndeski hairy black holes. By using the ordinary finite element method, the relations between the QNMs and the parameters of black holes are minutely shown. Both the oscillating frequency and the decay rate increase with the increase of the scalar charge Q. While the oscillating frequency and the decay rate decrease with the black hole mass M increasing. And the quasi-period of the oscillation decreases when the angular momentum l of the perturbation field increases. However, the decay rate has barely changed for different values of l. Thus, the numerical results indicate that Horndeski black holes are stable. |
| Key words: Horndeski hairy black holes quasi-normal modes (QNMs) the ordinary finite element method |
