Spontaneous ghostification: how a dying black hole comes back as a naked singularity

Fuente: arXiv
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Main Authors: Bonanno, Alfio, Silveravalle, Samuele
Format: Preprint
Published: 2025
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author Bonanno, Alfio
Silveravalle, Samuele
author_facet Bonanno, Alfio
Silveravalle, Samuele
contents A quantum ghost that destabilizes the Schwarzschild solution, transforming it into a naked singularity, may seem like a physicist's worst nightmare. However, we argue that this scenario represents the natural evolution of a black hole within a conservative high-energy gravity framework and may, in fact, be a desirable outcome. Quadratic curvature terms typically appear as corrections to the Einstein-Hilbert action at high energies; nonetheless, such theories are generally considered incomplete due to the presence of ghost particles at the quantum level, which can spoil vacuum stability. We argue that this instability can only be triggered at the final stages of black hole evaporation, starting a phase transition-like process that alters the nature of the spacetime, similarly to spontaneous scalarization. We propose that the endpoint is a stable, exotic naked singularity, possible only in modified gravity theories, and avoids some of the pathological features associated with standard naked singularities.
format Preprint
id arxiv_https___arxiv_org_abs_2505_20360
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Spontaneous ghostification: how a dying black hole comes back as a naked singularity
Bonanno, Alfio
Silveravalle, Samuele
General Relativity and Quantum Cosmology
High Energy Physics - Theory
A quantum ghost that destabilizes the Schwarzschild solution, transforming it into a naked singularity, may seem like a physicist's worst nightmare. However, we argue that this scenario represents the natural evolution of a black hole within a conservative high-energy gravity framework and may, in fact, be a desirable outcome. Quadratic curvature terms typically appear as corrections to the Einstein-Hilbert action at high energies; nonetheless, such theories are generally considered incomplete due to the presence of ghost particles at the quantum level, which can spoil vacuum stability. We argue that this instability can only be triggered at the final stages of black hole evaporation, starting a phase transition-like process that alters the nature of the spacetime, similarly to spontaneous scalarization. We propose that the endpoint is a stable, exotic naked singularity, possible only in modified gravity theories, and avoids some of the pathological features associated with standard naked singularities.
title Spontaneous ghostification: how a dying black hole comes back as a naked singularity
topic General Relativity and Quantum Cosmology
High Energy Physics - Theory
url https://arxiv.org/abs/2505.20360