论文标题
旋转环量子黑洞的阴影和准标准模式
Shadow and Quasinormal Modes of a Rotating Loop Quantum Black Hole
论文作者
论文摘要
在本文中,我们构建了一个有效的旋转回路量子黑洞(LQBH)解决方案,从球形对称LQBH开始,通过应用Azreg-Aïnou的非复杂性程序修改的Newman-Janis算法,研究循环量子重力的影响(LQG)在其阴影上}。给定旋转{LQBH},我们讨论其视野,eRgosurface和jurolartiate {as} $ r \ to 0 $。根据特定角动量$ a $的值和来自{lqg}引起的聚合物函数$ p $,我们{find}我们获得的旋转解决方案可以代表常规的黑洞,常规的极端黑洞或常规的空间{没有地平线(无黑孔解决方案)}。我们还{研究} {LQG}和旋转的效果,以及{show},除了特定的角动量外,聚合物函数{也}还会导致黑洞阴影大小和形状的变形。有趣的是,对于给定的$ a $和倾斜角$θ_0$的给定值,阴影的明显大小单调降低,阴影会随着$ p $的增加而变得更加失真。我们还{考虑$ p $对阴影圆形偏差的影响,并发现与圆形的偏差随着$ a $ a $ a $ a $ a $ a $ a $ a $ a $ p $的增加而增加。此外,我们探讨了$ p $的观察性含义,与最新的事件地平线望远镜(EHT)观察到超大型黑洞,M $ 87 $。还考虑了在艾科尼尔极限中的阴影半径和准模式之间的连接,也考虑了{}偏转的大规模颗粒。
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-Aïnou'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 $θ_0$, 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 $θ_0$. Additionally, we explore the observational implications of $P$ in comparison with the latest Event Horizon Telescope (EHT) observation of the supermassive black hole, M$87$. The connection between the shadow radius and quasinormal modes in the eikonal limit as well as {the} deflection of massive particles are also considered.