Islands in charged linear dilaton black holes
| Autor: | Ahn, Byoungjoon, Bak, Sang-Eon, Jeong, Hyun-Sik, Kim, Keun-Young, Sun, Ya-Wen |
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| Rok vydání: | 2021 |
| Předmět: | |
| Zdroj: | Phys. Rev. D 105, 046012 (2022) |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1103/PhysRevD.105.046012 |
| Popis: | 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. Comment: v1: 20 pages, 4 figures; v2: minor edits, references added |
| Databáze: | arXiv |
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