论文标题
赤道和极性准模式以及量子变形Kerr黑洞的准静脉振荡
Equatorial and polar quasinormal modes and quasiperiodic oscillations of quantum deformed Kerr black hole
论文作者
论文摘要
在本文中，我们着重于准模式（QNM）和旋转的黑洞阴影之间的关系。作为一个特定的例子，我们考虑通过纽曼（Janis-azreg-a \“特别是算法）获得的量子变形，特别是使用QNMS的参数与沿着地球界的频率相关的QNMS和保守数量的参数之间的几何形状 - 播种机的对应关系。最后，我们探索了视角的典型阴影半径，$θ_0=π/2 $，在观看角度的情况下获得了有趣的关系，$θ_0= 0 $（或等效地$θ_0=π$） Quasiperiodic振荡和S2星的运动以限制量子变形参数。
In this paper we focus on the relation between quasinormal modes (QNMs) and a rotating black hole shadows. As a specific example, we consider the quantum deformed Kerr black hole obtained via Newman--Janis--Azreg-A\"ınou algorithm. In particular, using the geometric-optics correspondence between the parameters of a QNMs and the conserved quantities along geodesics, we show that, in the eikonal limit, the real part of QNMs is related to the Keplerian frequency for equatorial orbits. To this end, we explore the typical shadow radius for the viewing angles, $θ_0=π/2$, and obtained an interesting relation in the case of viewing angle $θ_0=0$ (or equivalently $θ_0=π$). Furthermore we have computed the corresponding equatorial and polar modes and the thermodynamical stability of the quantum deformed Kerr black hole. We also investigate other astrophysical applications such as the quasiperiodic oscillations and the motion of S2 star to constrain the quantum deforming parameter.
