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PreprintCC BY 4.0arXiv

Thin-Shell Black Bounce

Abstract

A recently proposed class of black-bounce solutions sourced by anisotropic fluids, whose exterior reproduces the Reissner-Nordström geometry all the way down to a minimal-area bounce, was put forward by Lessa and Olmo. In this work, we show that this solution conceals a thin-shell structure precisely at the bounce. Motivated by this observation, we construct a new class of black-bounce solutions with static, spherical symmetry featuring the emergence of a minimal-area bounce supported by a thin shell. This nontrivial topological structure is shown to arise from the degeneracy of the metric at the bounce, where the inverse metric becomes ill-defined, leading to curvature tensors with distributional discontinuities precisely at that point. As a consequence, a delta-function thin shell of energy-condition-violating matter is necessarily present at the bounce. To generate such solutions, we draw on proposals from quantum gravity that predict the existence of a fundamental minimum length scale, employing energy density profiles that encode these quantum-gravitational effects in an effective manner, replacing the point-like description of matter at minimal-length scales with a smeared one. We consider two well-motivated profiles, of Lorentzian and Gaussian type, to generate a novel class of solutions exhibiting the features of either regular black holes or wormholes, whose center conceals a thin-shell bounce. In addition, we investigate the thermodynamics of these compact objects.

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BibTeX
@misc{lessa2026thinshell,
  title = {{Thin-Shell Black Bounce}},
  author = {Leandro A. Lessa and Renan B. Magalhães and Gonzalo J. Olmo},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.25354},
  eprint = {2609.25354},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.25354},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Thin-Shell Black Bounce
AU  - Leandro A. Lessa
AU  - Renan B. Magalhães
AU  - Gonzalo J. Olmo
PY  - 2026
DA  - 2026/09/21
PB  - arXiv
DO  - 10.48550/arxiv.2609.25354
UR  - https://arxiv.org/abs/2609.25354
AB  - A recently proposed class of black-bounce solutions sourced by anisotropic fluids, whose exterior reproduces the Reissner-Nordström geometry all the way down to a minimal-area bounce, was put forward by Lessa and Olmo. In this work, we show that this solution conceals a thin-shell structure precisely at the bounce. Motivated by this observation, we construct a new class of black-bounce solutions with static, spherical symmetry featuring the emergence of a minimal-area bounce supported by a thin shell. This nontrivial topological structure is shown to arise from the degeneracy of the metric at the bounce, where the inverse metric becomes ill-defined, leading to curvature tensors with distributional discontinuities precisely at that point. As a consequence, a delta-function thin shell of energy-condition-violating matter is necessarily present at the bounce. To generate such solutions, we draw on proposals from quantum gravity that predict the existence of a fundamental minimum length scale, employing energy density profiles that encode these quantum-gravitational effects in an effective manner, replacing the point-like description of matter at minimal-length scales with a smeared one. We consider two well-motivated profiles, of Lorentzian and Gaussian type, to generate a novel class of solutions exhibiting the features of either regular black holes or wormholes, whose center conceals a thin-shell bounce. In addition, we investigate the thermodynamics of these compact objects.
ER  -