Entanglement island and Page curve for one-sided charged black hole
Abstract In this paper, we extend the method of calculating the entanglement entropy of Hawking radiation of black holes using the “in” vacuum state, which describes one-sided asymptotically flat neutral black hole formed by gravitational collapse, to dynamic charged black holes. We explore the infl...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2024-08-01
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| Series: | Journal of High Energy Physics |
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| Online Access: | https://doi.org/10.1007/JHEP08(2024)023 |
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| author | Yun-Feng Qu Yi-Ling Lan Hongwei Yu Wen-Cong Gan Fu-Wen Shu |
| author_facet | Yun-Feng Qu Yi-Ling Lan Hongwei Yu Wen-Cong Gan Fu-Wen Shu |
| author_sort | Yun-Feng Qu |
| collection | DOAJ |
| description | Abstract In this paper, we extend the method of calculating the entanglement entropy of Hawking radiation of black holes using the “in” vacuum state, which describes one-sided asymptotically flat neutral black hole formed by gravitational collapse, to dynamic charged black holes. We explore the influence of charge on the position of the boundary of island ∂I and the Page time. Due to their distinct geometric structures, we discuss non-extremal and extremal charged black holes separately. In non-extremal cases, the emergence of island saves the bound of entropy at late times, and the entanglement entropy of Hawking radiation satisfies the Page curve. Moreover, we also find that the position of the boundary of island ∂I depends on the position of the cutoff surface (observers), differing from the behavior in eternal charged black holes. In extremal black holes, when the island exists, the entanglement entropy is approximately equal to the Bekenstein-Hawking entropy, while the entanglement entropy becomes ill-defined when island is absent. Our analysis underscores how different geometric configurations significantly influence the behavior of entropy. |
| format | Article |
| id | doaj-art-474dabce62094e03a99abaae2a37c618 |
| institution | OA Journals |
| issn | 1029-8479 |
| language | English |
| publishDate | 2024-08-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj-art-474dabce62094e03a99abaae2a37c6182025-08-20T02:22:20ZengSpringerOpenJournal of High Energy Physics1029-84792024-08-012024812510.1007/JHEP08(2024)023Entanglement island and Page curve for one-sided charged black holeYun-Feng Qu0Yi-Ling Lan1Hongwei Yu2Wen-Cong Gan3Fu-Wen Shu4Department of Physics and Synergetic Innovation Center for Quantum Effects and Applications, Hunan Normal UniversityDepartment of Physics and Synergetic Innovation Center for Quantum Effects and Applications, Hunan Normal UniversityDepartment of Physics and Synergetic Innovation Center for Quantum Effects and Applications, Hunan Normal UniversityCollege of Physics and Communication Electronics, Jiangxi Normal UniversityDepartment of Physics, Nanchang UniversityAbstract In this paper, we extend the method of calculating the entanglement entropy of Hawking radiation of black holes using the “in” vacuum state, which describes one-sided asymptotically flat neutral black hole formed by gravitational collapse, to dynamic charged black holes. We explore the influence of charge on the position of the boundary of island ∂I and the Page time. Due to their distinct geometric structures, we discuss non-extremal and extremal charged black holes separately. In non-extremal cases, the emergence of island saves the bound of entropy at late times, and the entanglement entropy of Hawking radiation satisfies the Page curve. Moreover, we also find that the position of the boundary of island ∂I depends on the position of the cutoff surface (observers), differing from the behavior in eternal charged black holes. In extremal black holes, when the island exists, the entanglement entropy is approximately equal to the Bekenstein-Hawking entropy, while the entanglement entropy becomes ill-defined when island is absent. Our analysis underscores how different geometric configurations significantly influence the behavior of entropy.https://doi.org/10.1007/JHEP08(2024)023AdS-CFT CorrespondenceBlack HolesGauge-Gravity Correspondence |
| spellingShingle | Yun-Feng Qu Yi-Ling Lan Hongwei Yu Wen-Cong Gan Fu-Wen Shu Entanglement island and Page curve for one-sided charged black hole Journal of High Energy Physics AdS-CFT Correspondence Black Holes Gauge-Gravity Correspondence |
| title | Entanglement island and Page curve for one-sided charged black hole |
| title_full | Entanglement island and Page curve for one-sided charged black hole |
| title_fullStr | Entanglement island and Page curve for one-sided charged black hole |
| title_full_unstemmed | Entanglement island and Page curve for one-sided charged black hole |
| title_short | Entanglement island and Page curve for one-sided charged black hole |
| title_sort | entanglement island and page curve for one sided charged black hole |
| topic | AdS-CFT Correspondence Black Holes Gauge-Gravity Correspondence |
| url | https://doi.org/10.1007/JHEP08(2024)023 |
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