Can finite-density QCD matter support a regular black hole core?
Abstract
We investigate whether finite-density QCD matter can provide the stress-energy needed to regularize the center of a spherically symmetric black hole collapse. In a generalized Vaidya geometry, the field equations impose a vacuum-like radial pressure; we therefore model the QCD sector phenomenologically by identifying the transverse pressure with the effective QCD pressure. This is neither an isotropic equilibrium treatment nor a first principles simulation of nonequilibrium collapse. Local energy-momentum conservation is used to reconstruct radial temperature, density, and mass profiles for two QCD-inspired equations of state: a finite-chemical-potential chiral model and a finite-density mean-field quark-gluon-plasma model. Although the chiral model admits an exact Lambert-function solution, its physical high-temperature branch has a non-integrable central density. The mean-field model also yields singular temperature and density profiles. Neither produces the cubic near-center mass scaling required for finite curvature. More generally, regularity under the transverse null energy condition uniquely demands a vacuum-like relation between transverse pressure and energy density, which neither QCD closure approaches. Thus, finite quark chemical potential alters the phase-transition thermodynamics but does not generate a self-regularizing core in this framework. Positive-energy mixtures of baryonic matter and radiation also fail to provide the required stress. A smooth matching to an inner de Sitter-like component illustrates the additional short-distance physics needed.
Versions
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BibTeX
@misc{lambiase2026finitedensity,
title = {{Can finite-density QCD matter support a regular black hole core?}},
author = {G. Lambiase and A. Övgün and V. Vertogradov},
howpublished = {arXiv},
year = {2026},
month = aug,
doi = {10.48550/arxiv.2605.27170},
eprint = {2605.27170},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2605.27170},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Can finite-density QCD matter support a regular black hole core?
AU - G. Lambiase
AU - A. Övgün
AU - V. Vertogradov
PY - 2026
DA - 2026/08/18
PB - arXiv
DO - 10.48550/arxiv.2605.27170
UR - https://arxiv.org/abs/2605.27170
AB - We investigate whether finite-density QCD matter can provide the stress-energy needed to regularize the center of a spherically symmetric black hole collapse. In a generalized Vaidya geometry, the field equations impose a vacuum-like radial pressure; we therefore model the QCD sector phenomenologically by identifying the transverse pressure with the effective QCD pressure. This is neither an isotropic equilibrium treatment nor a first principles simulation of nonequilibrium collapse. Local energy-momentum conservation is used to reconstruct radial temperature, density, and mass profiles for two QCD-inspired equations of state: a finite-chemical-potential chiral model and a finite-density mean-field quark-gluon-plasma model. Although the chiral model admits an exact Lambert-function solution, its physical high-temperature branch has a non-integrable central density. The mean-field model also yields singular temperature and density profiles. Neither produces the cubic near-center mass scaling required for finite curvature. More generally, regularity under the transverse null energy condition uniquely demands a vacuum-like relation between transverse pressure and energy density, which neither QCD closure approaches. Thus, finite quark chemical potential alters the phase-transition thermodynamics but does not generate a self-regularizing core in this framework. Positive-energy mixtures of baryonic matter and radiation also fail to provide the required stress. A smooth matching to an inner de Sitter-like component illustrates the additional short-distance physics needed.
ER -