论文标题

小型施瓦茨柴尔德(Schwarzschild de Sitter de Sitter)黑洞,量子极端表面和岛屿

Small Schwarzschild de Sitter black holes, quantum extremal surfaces and islands

论文作者

Goswami, Kaberi, Narayan, K.

论文摘要

我们研究4维Schwarzschild de Sitter黑洞在黑洞质量与DE Sitter量表相比很小的制度中。然后,与黑洞相比,De Sitter温度非常低,我们研究了黑洞,将环境DE Sitter空间视为冷冻的经典背景。我们考虑静态钻石中的遥远观察者,远离黑洞,但在宇宙学的视野内。使用二维工具,我们发现辐射的纠缠熵在时间上表现出线性生长,这表明了黑洞的信息悖论。自以为是,包括在黑洞地平线附近的后期出现的适当岛屿,这导致了合理的页面曲线。在我们考虑的政权中,与平坦的Schwarzschild黑洞有着密切的相似之处。

We study 4-dimensional Schwarzschild de Sitter black holes in the regime where the black hole mass is small compared with the de Sitter scale. Then the de Sitter temperature is very low compared with that of the black hole and we study the black hole, approximating the ambient de Sitter space as a frozen classical background. We consider distant observers in the static diamond, far from the black hole but within the cosmological horizon. Using 2-dimensional tools, we find that the entanglement entropy of radiation exhibits linear growth in time, indicative of the information paradox for the black hole. Self-consistently including an appropriate island emerging at late times near the black hole horizon leads to a reasonable Page curve. There are close parallels with flat space Schwarzschild black holes in the regime we consider.

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