Entanglement islands, Page curves and phase transitions of Kerr-AdS black holes.

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Title: Entanglement islands, Page curves and phase transitions of Kerr-AdS black holes.
Authors: Das, Digen1,2 (AUTHOR) rs_digendas@dibru.ac.in, Awal, Mozib Bin1 (AUTHOR) rs_mozibbinawal@dibru.ac.in, Phukon, Prabwal1,3 (AUTHOR) prabwal@dibru.ac.in
Source: European Physical Journal C -- Particles & Fields. Jun2026, Vol. 86 Issue 6, p1-13. 13p.
Subjects: Phase transitions, Kerr black holes, Quantum entropy, Hawking radiation, Quantum information theory, Quantum mechanics
Abstract: We study the Page curve and information paradox for Kerr AdS black hole in light of entanglement entropy by employing the recently proposed island paradigm. By incorporating the island rule, we show that the entanglement entropy of Kerr AdS black hole grows linearly at early times and declines to a constant value at late times in agreement with the well established Page curve. The novelty of this study resides in the investigation of influence of phase transitions on the page curve in two different ensembles. We find that a first order phase transition results in a sharp discontinuity in the Page curve. We study the evaporation process in different scenarios and find that in all the situations, the Page curve doesn't violate the unitary principle of quantum mechanics. [ABSTRACT FROM AUTHOR]
Copyright of European Physical Journal C -- Particles & Fields is the property of Springer Nature and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
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  Data: Entanglement islands, Page curves and phase transitions of Kerr-AdS black holes.
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  Data: <searchLink fieldCode="AR" term="%22Das%2C+Digen%22">Das, Digen</searchLink><relatesTo>1,2</relatesTo> (AUTHOR)<i> rs_digendas@dibru.ac.in</i><br /><searchLink fieldCode="AR" term="%22Awal%2C+Mozib+Bin%22">Awal, Mozib Bin</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> rs_mozibbinawal@dibru.ac.in</i><br /><searchLink fieldCode="AR" term="%22Phukon%2C+Prabwal%22">Phukon, Prabwal</searchLink><relatesTo>1,3</relatesTo> (AUTHOR)<i> prabwal@dibru.ac.in</i>
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  Data: <searchLink fieldCode="JN" term="%22European+Physical+Journal+C+--+Particles+%26+Fields%22">European Physical Journal C -- Particles & Fields</searchLink>. Jun2026, Vol. 86 Issue 6, p1-13. 13p.
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  Data: <searchLink fieldCode="DE" term="%22Phase+transitions%22">Phase transitions</searchLink><br /><searchLink fieldCode="DE" term="%22Kerr+black+holes%22">Kerr black holes</searchLink><br /><searchLink fieldCode="DE" term="%22Quantum+entropy%22">Quantum entropy</searchLink><br /><searchLink fieldCode="DE" term="%22Hawking+radiation%22">Hawking radiation</searchLink><br /><searchLink fieldCode="DE" term="%22Quantum+information+theory%22">Quantum information theory</searchLink><br /><searchLink fieldCode="DE" term="%22Quantum+mechanics%22">Quantum mechanics</searchLink>
– Name: Abstract
  Label: Abstract
  Group: Ab
  Data: We study the Page curve and information paradox for Kerr AdS black hole in light of entanglement entropy by employing the recently proposed island paradigm. By incorporating the island rule, we show that the entanglement entropy of Kerr AdS black hole grows linearly at early times and declines to a constant value at late times in agreement with the well established Page curve. The novelty of this study resides in the investigation of influence of phase transitions on the page curve in two different ensembles. We find that a first order phase transition results in a sharp discontinuity in the Page curve. We study the evaporation process in different scenarios and find that in all the situations, the Page curve doesn't violate the unitary principle of quantum mechanics. [ABSTRACT FROM AUTHOR]
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  Data: <i>Copyright of European Physical Journal C -- Particles & Fields is the property of Springer Nature and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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        Value: 10.1140/epjc/s10052-026-15820-y
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        Type: general
      – SubjectFull: Kerr black holes
        Type: general
      – SubjectFull: Quantum entropy
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      – SubjectFull: Hawking radiation
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      – SubjectFull: Quantum information theory
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      – SubjectFull: Quantum mechanics
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      – TitleFull: Entanglement islands, Page curves and phase transitions of Kerr-AdS black holes.
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              M: 06
              Text: Jun2026
              Type: published
              Y: 2026
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