Islands in charged linear dilaton black holes
Islands in charged linear dilaton black holes
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DOI：
10.1103/physrevd.105.046012
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发表时间：
2021-07
影响因子：
5
通讯作者：
Byoungjoon Ahn;Sang-Eon Bak;Hyun-Sik Jeong;Keun-Young Kim;Ya-Wen Sun
中科院分区：
文献类型：
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作者：
Byoungjoon Ahn;Sang-Eon Bak;Hyun-Sik Jeong;Keun-Young Kim;Ya-Wen Sun
研究了渐近非平坦/AdS/dS的非标准黑洞的Page曲线.为此，我们将岛处方应用于带电线性玻色子黑洞，并详细分析了非极值和极值情况下Hawking辐射的纠缠熵。在非极值情况下，我们发现Page曲线符合幺正性原理：在早期，纠缠熵随时间线性增长，没有岛，在后期，它是饱和的贝肯斯坦-霍金熵的两倍，在存在的岛屿。我们观察到Page时间对于我们的方法研究的所有不同模型都是通用的：$t_{\text{Page}}=\frac{3}{ \pi c}\frac{S_{\text{BH}{T_H}。$在极端情况下，岛的规定提供了定义良好的纠缠熵只与岛，这不能得到连续的极限的非极端情况。这意味着，页面曲线可能无法重现的极端情况下，需要进一步的调查。
We investigate the Page curve for a non-standard black hole which is asymptotically non-flat/AdS/dS. For this purpose, we apply the island prescription to the charged linear dilaton black holes and analyze, in detail, the entanglement entropy of Hawking radiation for both the non-extremal case and the extremal case. In the non-extremal case, we find the Page curve consistent with the unitarity principle: at early times the entanglement entropy grows linearly in time without the island and at late times it is saturated double of the Bekenstein-Hawking entropy in the presence of the island. We observe the Page time is universal for all different models studied by our method: $t_{\text{Page}}=\frac{3}{ \pi c}\frac{S_{\text{BH}}}{T_H}.$ For the extremal case, the island prescription provides the well defined entanglement entropy only with the island, which can not be obtained from the continuous limit of the non-extremal case. This implies that the Page curve may not be reproduced for the extremal case and further investigation is needed.