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Quantum inequalities for quantum black holes

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arxiv 2406.17860 v1 pith:XPU7MAAR submitted 2024-06-25 hep-th gr-qc

Antonia M. Frassino , Robie A. Hennigar , Juan F. Pedraza , Andrew Svesko This is my paper
classification hep-thgr-qc
keywords quantumblackholesdimensionsinequalitiesinequalitypenrosebackreaction
verification ladder T0 review T1 audit T2 compute T3 formal
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We formulate spacetime inequalities applicable to quantum-corrected black holes to all orders of backreaction in semiclassical gravity. Namely, we propose refined versions of the quantum Penrose and reverse isoperimetric inequalities, valid for all known three-dimensional asymptotically anti-de Sitter quantum black holes. Previous proposals of the quantum Penrose inequality apply in higher dimensions but fail when applied in three dimensions beyond the perturbative regime. Our quantum Penrose inequality, valid in three dimensions, holds at all orders of backreaction. This suggests cosmic censorship must exist in non-perturbative semiclassical gravity. Our quantum reverse isoperimetric inequality implies a maximum entropy state for quantum black holes at fixed volume.

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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. Weak Cosmic Censorship with spinning particles in Kerr-(A)dS spacetimes

    gr-qc 2025-07 conditional novelty 6.0 of 10

    Extremal Kerr-de Sitter black holes cannot be overspun by spinning test particles, and apparent Kerr-anti-de Sitter overspinning configurations are eliminated once the particle's finite size is respected.

  2. Violating Weak Cosmic Censorship in AdS$_3$ via Gedanken Experiment

    hep-th 2025-08 unverdicted novelty 5.0 of 10

    Under the test-particle approximation, an extremal quantum-corrected BTZ black hole can have its horizon destroyed by a particle with large angular momentum, giving a potential counterexample to weak cosmic censorship.

  3. Timelike entanglement and central charge for quantum BTZ black holes

    hep-th 2025-07 reject novelty 5.0 of 10

    The paper numerically computes timelike entanglement entropy for quantum BTZ black holes and claims that the effective central charge drops sharply as quantum backreaction crosses a critical value.

  4. Analytical approach to criticality of AdS black holes

    gr-qc 2025-06 conditional novelty 5.0 of 10

    A self-reciprocal relation between coexisting black hole phases reduces two coexistence conditions to a single algebraic equation, giving exact coexistence lines for several AdS black holes and the Van der Waals fluid.

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