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October 17, 20250 citationsOpen Access

Entanglement islands and black hole decay in regular dilaton gravity

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MFMaxim Fitkevich

Key Points

  • Generalized entanglement entropy diverges for near-extremal black holes, indicating potential instability.
  • The CGHS model serves as a key example, with modifications allowing for regular black holes characterized by finite curvature.
  • Semiclassical regularization method estimates decay amplitude of remnants, suggesting possible unitarity loss.
  • The conjecture highlights that remnants may decay via quantum fluctuations into horizonless spacetimes.

Abstract

We consider a class of two-dimensional dilaton gravity models with linear dilaton vacuum including Callan-Giddings-Harvey-Strominger (CGHS) model as the special case. General thermodynamic properties of black holes in such models are evaluated. We focus on the CGHS model and its modification with regular black holes as empty-space solutions characterized by ever-present finite curvature. We find generalized entanglement entropy blows-up for near-extremal regular black holes considered as remnants. That signalling a possible breakdown of the semiclassical approximation near the endpoint of evaporation. We conjecture that remnants are unstable and decay by quantum fluctuations into horizonless spacetimes. We give an estimate for the decay amplitude by using a semiclassical regularization method and propose a path to mitigate the unitarity loss problem.

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Cite This Study

Maxim Fitkevich (2025) studied this question.

synapsesocial.com/papers/68f19f20de32064e504dddc3https://doi.org/10.48550/arxiv.2507.17933
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