Revisiting quantum black holes from effective loop quantum gravity
Revisiting quantum black holes from effective loop quantum gravity
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DOI：
10.1103/physrevd.109.026015
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发表时间：
2023-11
影响因子：
5
通讯作者：
Geeth Ongole;Parampreet Singh;Anzhong Wang
中科院分区：
文献类型：
--
作者：
Geeth Ongole;Parampreet Singh;Anzhong Wang
我们系统地研究了经典克鲁斯卡时空的一系列环量子化，使用环量子引力对四个通用参数 $c_o、m、\delta_b$ 和 $\delta_c$ 的有效描述，其中后两个表示捕获底层量子几何的聚合参数。我们重点关注聚合参数在动力学轨迹上恒定的族，其中 Ashtekar-Olmedo-Singh (AOS) 和 Corichi-Singh (CS) 模型作为特例出现。我们研究了所有这些模型中由于量子引力效应而产生的奇点分辨率的一般特征，并通过分析将解决方案扩展到白洞 (WH) 和黑洞 (BH) 视界到外部。我们发现 Kretschmann 标量渐近展开式中的首项是 $r^{-4}$。然而，对于 AOS 和 CS 模型，质量大于太阳质量的黑洞，可观测宇宙大小的主导项表现为 $r^{-6}$，我们的分析可用于现象学上约束其他模型的参数选择。此外，可以通过要求 BH 视界处的前导阶霍金温度与其宏观 BH 的经典值一致来唯一地固定参数 $c_o$。假设 BH 和 WH 质量具有相同的量级，我们能够确定 $\delta_b$ 和 $\delta_c$ 的一系列选择，它们共享 AOS 模型的所有所需属性。
We systematically study a family of loop quantizations for the classical Kruskal spacetimes using the effective description motivated from loop quantum gravity for four generic parameters, $c_o, m, \delta_b$, and $\delta_c$, where the latter two denote the polymerization parameters that capture the underlying quantum geometry. We focus on the family where polymerization parameters are constant on dynamical trajectories and of which the Ashtekar-Olmedo-Singh (AOS) and Corichi-Singh (CS) models appear as special cases. We study general features of singularity resolution in all these models due to quantum gravity effects and analytically extend the solutions across the white hole (WH) and black hole (BH) horizons to the exterior. We find that the leading term in the asymptotic expansion of the Kretschmann scalar is $r^{-4}$. However, for AOS and CS models, black holes with masses greater than solar mass, the dominant term behaves as $r^{-6}$ for the size of the observable Universe and our analysis can be used to phenomenologically constrain the choice of parameters for other models. In addition, one can uniquely fix the parameter $c_o$ by requiring that the Hawking temperature at the BH horizon to the leading order be consistent with its classical value for a macroscopic BH. Assuming that the BH and WH masses are of the same order, we are able to identify a family of choices of $\delta_b$ and $\delta_c$ which share all the desired properties of the AOS model.