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Entanglement entropy and Page curve of black holes with island in massive gravity

By applying the island rule proposed recently, we compute the entanglement entropy of Hawking radiation and study the Page curve for the eternal black holes in massive gravity. We investigate for both the neutral and charged black holes which the corresponding results of Schwarzschild and Reissner–N...

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Main Author: Cao, H. Nam
Format: Bài trích
Language:English
Published: Springer 2022
Subjects:
Entanglement entropy
Page curve
Online Access:https://link.springer.com/article/10.1140/epjc/s10052-022-10343-8
https://dlib.phenikaa-uni.edu.vn/handle/PNK/5941
https://doi.org/10.1140/epjc/s10052-022-10343-8
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spelling oai:localhost:PNK-59412022-08-17T05:54:48Z Entanglement entropy and Page curve of black holes with island in massive gravity Cao, H. Nam Entanglement entropy Page curve By applying the island rule proposed recently, we compute the entanglement entropy of Hawking radiation and study the Page curve for the eternal black holes in massive gravity. We investigate for both the neutral and charged black holes which the corresponding results of Schwarzschild and Reissner–Nordström black holes are restored in the limit of massless graviton. We show for the neutral and non-extremal charged black holes that the island is not formed at the early times of the evaporation and hence the entanglement entropy increases linearly in time. However, for the extremal charged black hole, the calculation of the entanglement entropy at the early times without the island is ill-defined because the metric is divergent at the curvature singularity. This implies that new physics in the UV region must be taken into account to make the metric behaving smoothly at the very short distances. At the late times, with the emergence of one island near the event horizon, the entanglement entropy is saturated by the Bekenstein–Hawking entropy of black holes. In addition, we analyze the impact of massive gravity parameters on the size of island, the entanglement entropy, the Page time, and the scrambling time in detail. 2022-07-13T02:00:01Z 2022-07-13T02:00:01Z 2022 Bài trích https://link.springer.com/article/10.1140/epjc/s10052-022-10343-8 https://dlib.phenikaa-uni.edu.vn/handle/PNK/5941 https://doi.org/10.1140/epjc/s10052-022-10343-8 en Springer
institution Digital Phenikaa
collection Digital Phenikaa
language English
topic Entanglement entropy
Page curve
spellingShingle Entanglement entropy
Page curve
Cao, H. Nam
Entanglement entropy and Page curve of black holes with island in massive gravity
description By applying the island rule proposed recently, we compute the entanglement entropy of Hawking radiation and study the Page curve for the eternal black holes in massive gravity. We investigate for both the neutral and charged black holes which the corresponding results of Schwarzschild and Reissner–Nordström black holes are restored in the limit of massless graviton. We show for the neutral and non-extremal charged black holes that the island is not formed at the early times of the evaporation and hence the entanglement entropy increases linearly in time. However, for the extremal charged black hole, the calculation of the entanglement entropy at the early times without the island is ill-defined because the metric is divergent at the curvature singularity. This implies that new physics in the UV region must be taken into account to make the metric behaving smoothly at the very short distances. At the late times, with the emergence of one island near the event horizon, the entanglement entropy is saturated by the Bekenstein–Hawking entropy of black holes. In addition, we analyze the impact of massive gravity parameters on the size of island, the entanglement entropy, the Page time, and the scrambling time in detail.
format Bài trích
author Cao, H. Nam
author_facet Cao, H. Nam
author_sort Cao, H. Nam
title Entanglement entropy and Page curve of black holes with island in massive gravity
title_short Entanglement entropy and Page curve of black holes with island in massive gravity
title_full Entanglement entropy and Page curve of black holes with island in massive gravity
title_fullStr Entanglement entropy and Page curve of black holes with island in massive gravity
title_full_unstemmed Entanglement entropy and Page curve of black holes with island in massive gravity
title_sort entanglement entropy and page curve of black holes with island in massive gravity
publisher Springer
publishDate 2022
url https://link.springer.com/article/10.1140/epjc/s10052-022-10343-8
https://dlib.phenikaa-uni.edu.vn/handle/PNK/5941
https://doi.org/10.1140/epjc/s10052-022-10343-8
_version_ 1751856318631641088
score 8.891695

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