Islands in charged linear dilaton black holes
Autor: | Byoungjoon Ahn, Sang-Eon Bak, Hyun-Sik Jeong, Keun-Young Kim, Ya-Wen Sun |
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Rok vydání: | 2022 |
Předmět: | |
Zdroj: | Physical Review |
ISSN: | 2470-0029 2470-0010 |
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: | OpenAIRE |
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