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Islands in Schwarzschild black holes

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arxiv 2004.05863 v2 pith:5Q5RM24L submitted 2020-04-13 hep-th gr-qc

Koji Hashimoto , Norihiro Iizuka , Yoshinori Matsuo This is my paper · ORCID
classification hep-thgr-qc
keywords blackentropypagetimeentanglementeternalholeholes
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We study the Page curve for asymptotically flat eternal Schwarzschild black holes in four and higher spacetime dimensions. Before the Page time, the entanglement entropy grows linearly in time. After the Page time, the entanglement entropy of a given region outside the black hole is largely modified by the emergence of an island, which extends to the outer vicinity of the event horizon. As a result, it remains a constant value which reproduces the Bekenstein-Hawking entropy, consistent with the finiteness of the von Neumann entropy for an eternal black hole.

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Cited by 5 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. The Remnant of an Evaporating Rotating Regular Black Hole from the Generalized Entropy in the Final Stage of Evaporation

    hep-th 2026-07 conditional novelty 5.0 of 10

    A rotating regular black hole leaves a remnant because the correction term in the generalized entropy of Hawking radiation vanishes at a finite mass above the extremal limit.

  2. Dark Matter Signatures in Black Hole Thermodynamics and Information Recovery

    gr-qc 2026-08 conditional novelty 4.0 of 10

    For black holes embedded in perfect fluid dark matter, the island formula reproduces the Page curve and predicts that higher dark matter density shortens the Page time by raising the Hawking temperature.

  3. Wald-like entropy and Islands in Dimensionally Reduced Einstein-Hilbert Gravity

    hep-th 2026-07 conditional novelty 4.0 of 10

    Wald-like Noether charge of the DREH plus Polyakov-Liouville action yields the island generalized entropy and unitary Page curves for eternal and quasi-stationary evaporating black holes.

  4. Island of acoustic black hole in Schwarzschild spacetime

    hep-th 2025-12 conditional novelty 4.0 of 10

    For a Schwarzschild-surrounded acoustic black hole, phonon entanglement entropy follows a Page curve in the non-extremal case but diverges (no Page time) in the extremal case, according to the island formula.

  5. Replica Wormholes, Modular Entropy, and Capacity of Entanglement in JT Gravity

    hep-th 2025-01 conditional novelty 4.0 of 10

    In JT gravity toy models, late-time modular entropy and capacity of entanglement scale inversely with n times the inverse temperature, supporting a thermal reading of the replica parameter.

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