Holography and the Page curve of an evaporating black hole
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arXiv
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| Format: | Preprint |
| Published: |
2023
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| _version_ | 1866913662744133632 |
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| author | Khodahami, Amir A. Azizi, Azizollah |
| author_facet | Khodahami, Amir A. Azizi, Azizollah |
| contents | The Page curve exhibits a sharp peak at the Page time corresponding to a phase transition from an empty quantum extremal surface to a non-empty one. This study delves into the impact of this phase transition on the informational content of black hole radiation through constructing a smooth Page curve which represents a gradual transition instead. We utilize replica trick, apply holography in a specific form, and introduce mathematical identities inherent to the curve's smoothness. Our results suggest that a gradual transition could lead to a significant increase in the informational content of the radiation. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2305_16570 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Holography and the Page curve of an evaporating black hole Khodahami, Amir A. Azizi, Azizollah High Energy Physics - Theory General Relativity and Quantum Cosmology The Page curve exhibits a sharp peak at the Page time corresponding to a phase transition from an empty quantum extremal surface to a non-empty one. This study delves into the impact of this phase transition on the informational content of black hole radiation through constructing a smooth Page curve which represents a gradual transition instead. We utilize replica trick, apply holography in a specific form, and introduce mathematical identities inherent to the curve's smoothness. Our results suggest that a gradual transition could lead to a significant increase in the informational content of the radiation. |
| title | Holography and the Page curve of an evaporating black hole |
| topic | High Energy Physics - Theory General Relativity and Quantum Cosmology |
| url | https://arxiv.org/abs/2305.16570 |