Islands in charged linear dilaton black holes
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arXiv
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| Format: | Preprint |
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2021
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| _version_ | 1866910504731017216 |
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| author | Ahn, Byoungjoon Bak, Sang-Eon Jeong, Hyun-Sik Kim, Keun-Young Sun, Ya-Wen |
| author_facet | Ahn, Byoungjoon Bak, Sang-Eon Jeong, Hyun-Sik Kim, Keun-Young Sun, Ya-Wen |
| contents | 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: $t_{\text{Page}}=\frac{3}{ πc}\frac{S_{\text{BH}}}{T_H}.$ 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. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2107_07444 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | Islands in charged linear dilaton black holes Ahn, Byoungjoon Bak, Sang-Eon Jeong, Hyun-Sik Kim, Keun-Young Sun, Ya-Wen High Energy Physics - Theory 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: $t_{\text{Page}}=\frac{3}{ πc}\frac{S_{\text{BH}}}{T_H}.$ 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. |
| title | Islands in charged linear dilaton black holes |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2107.07444 |