Evolution of Λ black holes in the minisuperspace approximation of loop quantum gravity
Evolution of Λ black holes in the minisuperspace approximation of loop quantum gravity
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DOI：
10.1103/physrevd.79.084023
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发表时间：
2008-12
影响因子：
5
通讯作者：
J. Brannlund;S. Kloster;A. DeBenedictis
中科院分区：
文献类型：
--
作者：
J. Brannlund;S. Kloster;A. DeBenedictis
将改进的量子化方法应用于圈量子引力的小超空间近似，研究了在宇宙学常数支持下黑洞的演化。宇宙学常数的增加允许经典的解决方案与平面，圆柱形，环形，和更高的属黑洞。在这里，我们研究这些时空的量子模拟。在所有研究的场景中，在经典对应物中存在的奇异性在量子化版本中被避免，并被反弹所取代，并且在后期演化中，一系列不太严重的反弹。有趣的是，虽然在演化过程中各种对称性和拓扑结构之间存在差异，但反弹渐近线的另一边的演化是Nariai型时空，除了这里分析的平面黑洞，其$T\mathrm{\text{\ensuremath{-}R=\mathrm{\text{constant}}$子空间似乎在长期演化中继续膨胀。在其他情况下，纳赖型宇宙是量子演化中的吸引子，尽管参数不同。我们在这里详细研究每种对称性的量子演化。
Using the improved quantization technique to the minisuperspace approximation of loop quantum gravity, we study the evolution of black holes supported by a cosmological constant. The addition of a cosmological constant allows for classical solutions with planar, cylindrical, toroidal, and higher-genus black holes. Here we study the quantum analog of these space-times. In all scenarios studied, the singularity present in the classical counterpart is avoided in the quantized version and is replaced by a bounce, and in the late evolution, a series of less severe bounces. Interestingly, although there are differences during the evolution between the various symmetries and topologies, the evolution on the other side of the bounce asymptotes to space-times of Nariai-type, with the exception of the planar black hole analyzed here, whose $T\mathrm{\text{\ensuremath{-}}}R=\mathrm{\text{constant}}$ subspaces seem to continue expanding in the long-term evolution. For the other cases, Nariai-type universes are attractors in the quantum evolution, albeit with different parameters. We study here the quantum evolution of each symmetry in detail.