Shadow and quasinormal modes of a rotating loop quantum black hole

Shadow and quasinormal modes of a rotating loop quantum black hole
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旋转环量子黑洞的阴影模式和准正常模式

DOI:
10.1103/physrevd.101.084001
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发表时间:
2020-03
期刊:
影响因子:
5
通讯作者:
Wang Anzhong
Wang Anzhong
中科院分区:
物理与天体物理2区
文献类型:
--
作者:
Liu Cheng;Zhu Tao;Wu Qiang;Jusufi Kimet;Jamil Mubasher;Azreg-Ainou Mustapha;Wang Anzhong

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本文从球对称LQBH出发,采用经azrega \ \ {i}nou非复化过程修正的Newman-Janis算法,构造了一个有效的旋转环量子黑洞(LQBH)解,并研究了环量子引力(LQG)对其阴影的影响。给定旋转的LQBH,我们讨论了它的视界、遍历面和从r到0的正则性。根据LQG产生的特定角动量$a$和聚合函数$P$的值,我们发现我们得到的旋转解可以表示一个规则的黑洞,一个规则的极端黑洞,或一个没有视界的规则时空(非黑洞解)。我们还研究了LQG和旋转的影响,并表明,除了特定的角动量外,聚合物功能还会导致黑洞阴影的大小和形状变形。有趣的是,对于给定的$a$和倾角$\theta_0$,阴影的表观大小单调减小,并且随着$P$的增加,阴影变得更加扭曲。我们还考虑了$P$对阴影圆度偏差的影响,并发现对于固定值$a$和$\theta_0$,随着$P$的增加,与圆度偏差增加。此外,我们将$P$与最新的事件视界望远镜(EHT)对超大质量黑洞M87*的观测结果进行比较,探讨了$P$的观测意义。本文还考虑了阴影半径与椭圆极限下的准正态模态以及大质量粒子的偏转之间的关系。
In this paper, we construct an effective rotating loop quantum black hole (LQBH) solution, starting from the spherical symmetric LQBH by applying the Newman-Janis algorithm modified by Azreg-A\"{i}nou's non-complexification procedure, and study the effects of loop quantum gravity (LQG) on its shadow. Given the rotating LQBH, we discuss its horizon, ergosurface, and regularity as $r \to 0$. Depending on the values of the specific angular momentum $a$ and the polymeric function $P$ arising from LQG, we find that the rotating solution we obtained can represent a regular black hole, a regular extreme black hole, or a regular spacetime without horizon (a non-black-hole solution). We also study the effects of LQG and rotation and show that, in addition to the specific angular momentum, the polymeric function also causes deformations in the size and shape of the black hole shadow. Interestingly, for a given value of $a$ and inclination angle $\theta_0$, the apparent size of the shadow monotonically decreases, and the shadow gets more distorted with increasing $P$. We also consider the effects of $P$ on the deviations from the circularity of the shadow and find that the deviation from circularity increases with increasing $P$ for fixed values of $a$ and $\theta_0$. Additionally, we explore the observational implications of $P$ in comparing with the latest Event Horizon Telescope (EHT) observation of the supermassive black hole, M87*. The connection between the shadow radius and quasinormal modes in the eikonal limit as well as the deflection of massive particles are also considered.
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