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Page Curve for Eternal Schwarzschild Black Hole in Dimensionally-Reduced Model of Dilaton Gravity

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arxiv 2207.07409 v1 pith:DUDAJ2RN submitted 2022-07-15 hep-th

Stefan Djordjević , Aleksandra Gočanin , Dragoljub Gočanin , Voja Radovanović This is my paper · ORCID
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keywords blackdimensionalholequantumactioncomputecurvedilaton
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As a contribution to the subject of the information loss paradox in (1+1)-dimensional gravitational systems, we study a model of (1+1)-dimensional dilaton gravity derived from the four-dimensional Einstein-Hilbert action by dimensional reduction. The reduced action involves the cosmological constant and admits black hole solutions. After including the back-reaction of quantum fields to 1-loop order, we solve the semi-classical field equations perturbatively and compute the quantum correction to the Hawking temperature. We consider the quantum extremal surface approach and invoke the ``island rule'' to compute the fine-grained entropy of the Hawking radiation for an eternal Schwarzschild black hole and demonstrate that it follows the unitary Page curve.

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Cited by 4 Pith papers

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

  1. Collapse Scenario and Final State of Evaporation for Schwarzschild Black Hole in Dimensionally-Reduced Model of Dilaton Gravity

    hep-th 2025-06 conditional novelty 6.0 of 10

    A Schwarzschild-like black hole in a dimensionally reduced dilaton gravity model evaporates completely, ending in Minkowski space-time with a thunderpop shockwave.

  2. New insights on mutual information in the island approach to the Page curve

    hep-th 2026-07 conditional novelty 5.0 of 10

    At scrambling time I(B+:B−)=0 forces I(I:R)→∞, interpreted as conservation of geometric correlation, while I(I:R+:R−) is shown always negative via Cauchy-slice identities.

  3. Page Curve for an Evaporating Schwarzschild Black Hole in Dimensionally-Reduced Model of Dilaton Gravity

    hep-th 2025-07 conditional novelty 5.0 of 10

    In a dimensionally-reduced dilaton-gravity model, the island formula produces a Page curve for an evaporating Schwarzschild black hole, with the entropy vanishing at the endpoint.

  4. 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.

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