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On the viability of regular black holes
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The evaporation of black holes raises a number of conceptual issues, most of them related to the final stages of evaporation, where the interplay between the central singularity and Hawking radiation cannot be ignored. Regular models of black holes replace the central singularity with a nonsingular spacetime region, in which an effective classical geometric description is available. It has been argued that these models provide an effective, but complete, description of the evaporation of black holes at all times up to their eventual disappearance. However, here we point out that known models fail to be self-consistent: the regular core is exponentially unstable against perturbations with a finite timescale, while the evaporation time is infinite, therefore making the instability impossible to prevent. We also discuss how to overcome these difficulties, highlighting that this can be done only at the price of accepting that these models cannot be fully predictive regarding the final stages of evaporation.
Forward citations
Cited by 14 Pith papers
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Regular Black Holes in Nonlocal Quasitopological Gravity
Infinite-derivative completions of quasitopological gravities are ghost-free, avoid strong coupling, and admit exact spherically symmetric vacuum regular black holes obeying a perturbative Birkhoff theorem.
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Semiclassical regularity of compact trapped regions: From dynamical horizons to inner extremality
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.
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Semiclassical Black Hole-White Hole transitions: an analytical treatment
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.
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Scalar perturbations and strong cosmic censorship in a regular ABGB-de Sitter black hole spacetime
In regular ABGB-de Sitter black holes, near-extremal scalar perturbations decay fast enough (β>1/2) to violate strong cosmic censorship, and adding scalar mass can push the regularity parameter past β=1.
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Charging up regular black holes
Charged Bardeen and Hayward metrics become singular under deformed Einstein–Maxwell equations; more stringent regularity conditions are derived and improved regular charged metrics are constructed.
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Tidal Deformation Bounds and Perturbation Transfer in Bounded Curvature Spacetimes
Bounded tidal fields imply a rigorous limit on accumulated geodesic deviation set by τ* = λ_max^{-1/2} and a critical wavenumber k* ~ τ*^{-1} for perturbation transfer with exponential suppression at high k.
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Radiating black holes in general relativity need not be singular
A spherically symmetric charged black hole evaporating via Hawking radiation can remain regular, with neither a singularity nor a Cauchy horizon, due to electromagnetic repulsion and energy-condition violation.
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Cauchy Horizon (In)Stability of Regular Black Holes
For regular black holes, the Cauchy horizon mass typically grows exponentially or as a power law; for the asymptotically safe collapse model it grows logarithmically, reaching the horizon without a transient mass-infl...
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Violations of the null convergence condition in kinematical transitions between singular and regular black holes, horizonless compact objects, and bounces
During kinematical transitions between singular and regular black holes, horizonless compact objects, and bounces, the null convergence condition is violated even when both endpoint spacetimes respect it.
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Regular black hole with sub-Planckian curvature and suppressed exponential mass inflation
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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Chaotic imprints of dark matter in extreme mass-ratio inspirals
A toy model shows that adding a hand-made angle-dependent force to dark-matter spacetimes produces visual chaos and irregular numerical-Kludge waveforms, but the force is not a realistic dark-matter perturbation.
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Thermodynamic Phase Transitions and Quantum Entropy Corrections in the Simpson-Visser Regular Black Hole
For the Simpson-Visser regular black hole, the heat capacity diverges at a = √2 m, but the claimed quantum entropy corrections are internally inconsistent: the 1/a² term has the wrong sign and the remnant-entropy form...
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Energy Extraction and Evolution of Regular Black Holes: The Case of Bardeen Spacetime
A Bardeen regular black hole could evolve into a singular black hole if a charged Penrose process drains its magnetic charge.
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Towards a Non-singular Paradigm of Black Hole Physics
This is a review built around a week-long workshop, synthesizing the state and open problems of regular black holes and black hole mimickers as alternatives to singular black holes.
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