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From the BTZ black hole to JT gravity: geometrizing the island

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arxiv 2102.00922 v4 pith:NFWPZ3IB submitted 2021-02-01 hep-th

Evita Verheijden , Erik Verlinde This is my paper · ORCID
classification hep-th
keywords blackholegravitybathentropyevaporationfiniteisland
verification ladder T0 review T1 audit T2 compute T3 formal

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abstract

We study the evaporation of two-dimensional black holes in JT gravity from a three-dimensional point of view. A partial dimensional reduction of AdS$_3$ in Poincar\'e coordinates leads to an extremal 2D black hole in JT gravity coupled to a 'bath': the holographic dual of the remainder of the 3D spacetime. Partially reducing the BTZ black hole gives us the finite temperature version. We compute the entropy of the radiation using geodesics in the three-dimensional spacetime. We then focus on the finite temperature case and describe the dynamics by introducing time-dependence into the parameter controlling the reduction. The energy of the black hole decreases linearly as we slowly move the dividing line between black hole and bath. Through a re-scaling of the BTZ parameters we map this to the more canonical picture of exponential evaporation. Finally, studying the entropy of the radiation over time leads to a geometric representation of the Page curve. The appearance of the island region is explained in a natural and intuitive fashion.

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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. Holography of K-complexity: Switchbacks and Shockwaves

    hep-th 2025-10 conditional novelty 6.0 of 10

    Operator Krylov complexity in triple-scaled DSSYK matches JT-gravity geodesic lengths with shockwaves and exhibits the switchback effect when the Lanczos algorithm is perturbed by two-sided operator insertions.

  2. Islands, Double Holography, and the Entanglement Membrane

    hep-th 2024-12 conditional novelty 6.0 of 10

    A double-holographic Page curve is realized as an entanglement membrane with a vertical growing segment before the Page time and two saturated butterfly-velocity lines exiting through a boundary after it.

  3. JT gravity and deformed CFTs

    hep-th 2025-07 conditional novelty 5.0 of 10

    Deformed CFTs on a strip with a stretched-horizon conformal boundary are proposed as UV completions of pure and matter-coupled JT gravity, reproducing its entropy and a Page-curve-like saturation.

  4. Notes on solution phase space and BTZ black hole

    gr-qc 2024-11 accept novelty 3.0 of 10

    A detailed worked example showing that the solution phase space method reproduces the known mass, angular momentum, entropy, first law, and Smarr relation for the BTZ black hole and three-dimensional Kerr-dS spacetime.

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