论文标题
在暗物质光环中，类似Kerr的黑洞的重力铃声和超级振动不稳定性
Gravitational ringing and superradiant instabilities of the Kerr-like black holes in a dark matter halo
论文作者
论文摘要
来自星系中心的超大质量黑洞可能会沉浸在暗物质光环中。这种暗物质光环可能会在黑洞周围形成“尖”结构，并在距黑洞一定距离处消失。基于这种有趣的物理背景，我们使用持续的分数方法研究沉浸在暗物质光环中的Kerr样黑洞的重力环，即准模式（QNM）和Quasibound State（QBS）（QBS）。我们认为在冷暗物质（CDM）模型（CDM）模型和标量磁场暗物质（SFDM）模型中，我们考虑了这些黑洞的引力环，并将其与Kerr黑洞进行比较。通过测试具有不同参数$ l，m，a $的QNM/QBS频率的状态，我们确认当CDM模型和SFDM模型中的黑色孔都存在时，我们证实了超级不稳定性的存在。此外，在特定情况下，我们还研究了暗物质参数对黑洞QNM/QB的影响。将来，这些结果可用于超大质量黑洞的重力波检测，并可能提供一种有效的方法来检测暗物质的存在。
Supermassive black holes from the center of galaxy may be immersed in a dark matter halo. This dark matter halo may form a "cusp" structure around the black hole and disappear at a certain distance from the black hole. Based on this interesting physical background, we use the continued fraction method to study gravitational ringring of the Kerr-like black holes immersed in a dark matter halo, i.e., quasinormal modes (QNM) and quasibound states (QBS). We consider these gravitational ringring of black holes both in cold dark matter (CDM) model and scalar field dark matter (SFDM) model at the LSB galaxy, and compare them with Kerr black hole. By testing the states of QNM/QBS frequencies with different parameters $l,m,a$, we confirm the existence of the superradiant instabilities when the black holes both in CDM model and SFDM model. Besides, we also study the impacts of dark matter parameters on the QNM/QBS of black holes at the specific circumstances. In the future, these results may be used for gravitational wave detection of supermassive black holes, and may provide an effective method for detecting the existence of dark matter.
