发表机构
School of Physics and Optoelectronics, South China University of Technology（华南理工大学物理与光电工程学院）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本文首次构建三种LQG启发的(2+1)维黑洞框架，均得到渐近平坦、反德西特和德西特三类解，消除了经典维度间的不对称性。
AI 中文摘要
众所周知，在(2+1)维广义相对论中，黑洞解仅存在于反德西特情形，即所谓的巴尼奥斯-泰特尔博伊姆-扎内利（BTZ）黑洞。在本文中，我们首次构建了三个独立的LQG启发的(2+1)维黑洞框架：$\bar{\mu}$方案完整量子修正、量子奥本海默-斯奈德坍缩以及协变有效模型。值得注意的是，所有三种方法都产生了相同的定性图景：当包含LQG启发的修正时，我们发现了三种不同类型的解，分别对应于渐近平坦、反德西特和德西特几何。我们的结果表明，在纳入有效量子引力效应后，经典(2+1)维与(3+1)维解之间的不对称性被消除。
英文摘要
It is well known that in (2+1)-dimensional general relativity, black hole solutions exist only in the anti-de Sitter case--the so-called Banados-Teitelboim-Zanelli (BTZ) black hole. In this letter, we construct, for the first time, three independent LQG-inspired frameworks for (2+1)-dimensional black holes: the $\barμ$-scheme holonomy corrections, the quantum Oppenheimer-Snyder collapse, and a covariant effective model. Remarkably, all three approaches yield the same qualitative picture: when LQG-inspired corrections are included, we find three distinct types of solutions corresponding to asymptotically flat, anti-de Sitter, and de Sitter geometries. Our results demonstrate that the asymmetry between classical (2+1)-dimensional and (3+1)-dimensional solutions is eliminated upon incorporating effective quantum gravity effects.
Comments6+3 pages, 3 figures
