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Semiclassical instability of inner-extremal regular black holes

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arxiv 2303.03562 v2 pith:7JU5KRYG submitted 2023-03-07 gr-qc

classification gr-qc
keywords blackinstabilityregulargravityholesinner-extremalsemiclassicalsurface
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The construction of black hole spacetimes that are regular (singularity-free) is plagued by the "mass inflation" instability, a classical perturbation instability induced by the surface gravity at the inner horizon and characterized by exponentially diverging stress-energy there. Recently, a class of "inner-extremal" regular black holes was proposed that possesses a vanishing inner-horizon surface gravity and therefore avoids mass inflation, while still maintaining a horizon separation and a non-zero outer-horizon surface gravity. However, when semiclassical effects are taken into account, it is found that an inner-horizon instability remains for generic inner-extremal regular black holes formed from collapse. This semiclassical divergence is analyzed from the perspective of both the effective Hawking temperature and the renormalized stress-energy tensor, and its origin and genericity are examined in detail.

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Cited by 4 Pith papers

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

  1. Semiclassical regularity of compact trapped regions: From dynamical horizons to inner extremality

    gr-qc 2026-07 conditional novelty 7.0 of 10

    In finite-lifetime dynamical geometries the in-vacuum RSET stays finite at the inner horizon, growing exponentially for non-extremal cases but only as a power law for inner-extremal ones.

  2. Semiclassical Black Hole-White Hole transitions: an analytical treatment

    gr-qc 2026-08 conditional novelty 6.0 of 10

    The |in>-vacuum stress-energy in 2D collapse models amplifies at the inner horizon and can flip the ingoing null expansion, turning a trapped region into an anti-trapped one.

  3. Taming the Aretakis instability: extremal black holes with multi-degenerate horizons

    gr-qc 2026-04 unverdicted novelty 6.0 of 10

    Black holes with infinitely degenerate horizons are proposed to be stable against Aretakis instability, potentially serving as end states.

  4. Regular black hole with sub-Planckian curvature and suppressed exponential mass inflation

    gr-qc 2026-05 unverdicted novelty 5.0 of 10

    A regular black hole metric is constructed with sub-Planckian curvature controlled by the inner horizon radius and power-law rather than exponential mass inflation near the inner horizon.

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