Quantum extension of the Kruskal spacetime
Quantum extension of the Kruskal spacetime
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DOI：
10.1103/physrevd.98.126003
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发表时间：
2018-06
影响因子：
5
通讯作者：
A. Ashtekar;J. Olmedo;Parampreet Singh
中科院分区：
文献类型：
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作者：
A. Ashtekar;J. Olmedo;Parampreet Singh
给出了一种新的宏观Kruskal黑洞的描述，它包含了圈量子引力的量子几何修正。它既包括包含经典奇点的“内部”区域，也包括“外部”渐近区域。奇点自然地被圈量子引力的量子几何效应所解决。由此得到的时空量子延拓具有以下特征：(I)它允许无限多个陷域、反陷域和渐近区；(Ii)所有曲率标量具有一致的(即，与质量无关的)上界；(Iii)在大质量极限下，延拓的所有渐近区具有相同的ADM质量；(Iv)在低曲率区(例如，近视界)，正如人们所期望的那样，量子效应可以忽略不计；(V)最终结果对构造经典相空间描述所必须引入的基准结构不敏感(因为它们是必须的)。以前有效的理论[1-10]分享了这些特征的一部分，但不是全部。我们将我们的结果与这些有效理论的结果以及基于ADS/CFT猜想的预期进行了比较[11]。最后，我们讨论了我们的框架的局限性，特别是对蒸发黑洞的分析。
A new description of macroscopic Kruskal black holes that incorporates the quantum geometry corrections of loop quantum gravity is presented. It encompasses both the `interior' region that contains classical singularities and the `exterior' asymptotic region. Singularities are naturally resolved by the quantum geometry effects of loop quantum gravity. The resulting quantum extension of space-time has the following features: (i) It admits an infinite number of trapped, anti-trapped and asymptotic regions; (ii) All curvature scalars have uniform (i.e., mass independent) upper bounds; (iii) In the large mass limit, all asymptotic regions of the extension have the same ADM mass; (iv) In the low curvature region (e.g., near horizons) quantum effects are negligible, as one would physically expect; and (v) Final results are insensitive to the fiducial structures that have to be introduced to construct the classical phase space description (as they must be). Previous effective theories [1-10] shared some but not all of these features. We compare and contrast our results with those of these effective theories and also with expectations based on the AdS/CFT conjecture [11]. We conclude with a discussion of limitations of our framework, especially for the analysis of evaporating black holes.