G(2) Glueball Boson Stars as Restricted Kerr Mimickers in the Thomas--Fermi Limit
Abstract
We investigate whether horizonless compact stars made of dark glueball matter from a broken exceptional G(2) gauge sector can reproduce selected Kerr observables within a Thomas--Fermi effective-fluid description. We introduce GC9, a scale-separated G(2)-inspired positive nonic-density closure whose high-density stiffness, bag-free surface and Q-ball safety make it a useful compact-star benchmark. After Thomas--Fermi rescaling, reduced stellar observables are independent of the microscopic glueball mass mG, while the collective stiffness ΛT fixes the dimensional mass and radius. Solving the TOV, Hinderer and Hartle--Thorne systems, we obtain a stable maximum-mass compactness C=0.3247, tidal deformability Λ=4.37, I̅ C3/2=0.947, and slow-rotation quadrupole Q̅=1.522. At j=0.328, the same-order ISCO shift is 1.24%. The stable endpoint has no light ring, but its exterior Regge--Wheeler barrier supports a genuine static axial mode, Mω=0.463846−0.098881i, with a damping time about ten percent shorter than Schwarzschild and a real frequency 24.1% higher. A polarization-balanced vector realization has the same isotropic bulk EOS; moderate residual anisotropy changes static and first-order observables only at the few-percent level, while the full coupled vector spectrum remains open. Cowling calculations identify matter-supported quadrupolar modes. The scalar-burst, seeded-collapse and cosmological sections are phenomenological: a fixed ΛT gives a compact Kerr-comparison branch only near its own maximum mass, so the multi-sector scenario assumes distinct constant-ΛT branches from the keV supermassive sector to the PeV asteroid-mass sector. GC9 therefore defines a falsifiable restricted Kerr-mimicry framework for gravitational-wave, horizon-scale and compact-dark-matter tests.
Related
- Massive boson stars: Waveform-based branch diagnosis with neural reconstruction
- Fermion-Boson Stars in Scalar-Tensor Gravity
- Anisotropic Fluid Model for Massive Boson Stars: Spherically Symmetric Configurations
- Large-scale chaos in restricted hierarchical triples driven by short-range forces
- Nonlocal Gravity, Restricted CPL Dynamics and DESI Constraints
BibTeX
@misc{masi2026glueball,
title = {{G(2) Glueball Boson Stars as Restricted Kerr Mimickers in the Thomas--Fermi Limit}},
author = {Nicolò Masi},
howpublished = {arXiv},
year = {2026},
month = aug,
doi = {10.48550/arxiv.2608.28688},
eprint = {2608.28688},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2608.28688},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - G(2) Glueball Boson Stars as Restricted Kerr Mimickers in the Thomas--Fermi Limit
AU - Nicolò Masi
PY - 2026
DA - 2026/08/26
PB - arXiv
DO - 10.48550/arxiv.2608.28688
UR - https://arxiv.org/abs/2608.28688
AB - We investigate whether horizonless compact stars made of dark glueball matter from a broken exceptional G(2) gauge sector can reproduce selected Kerr observables within a Thomas--Fermi effective-fluid description. We introduce GC9, a scale-separated G(2)-inspired positive nonic-density closure whose high-density stiffness, bag-free surface and Q-ball safety make it a useful compact-star benchmark. After Thomas--Fermi rescaling, reduced stellar observables are independent of the microscopic glueball mass m_G, while the collective stiffness Λ_T fixes the dimensional mass and radius. Solving the TOV, Hinderer and Hartle--Thorne systems, we obtain a stable maximum-mass compactness C=0.3247, tidal deformability Λ=4.37, I̅ C^3/2=0.947, and slow-rotation quadrupole Q̅=1.522. At j=0.328, the same-order ISCO shift is 1.24%. The stable endpoint has no light ring, but its exterior Regge--Wheeler barrier supports a genuine static axial mode, Mω=0.463846−0.098881i, with a damping time about ten percent shorter than Schwarzschild and a real frequency 24.1% higher. A polarization-balanced vector realization has the same isotropic bulk EOS; moderate residual anisotropy changes static and first-order observables only at the few-percent level, while the full coupled vector spectrum remains open. Cowling calculations identify matter-supported quadrupolar modes. The scalar-burst, seeded-collapse and cosmological sections are phenomenological: a fixed Λ_T gives a compact Kerr-comparison branch only near its own maximum mass, so the multi-sector scenario assumes distinct constant-Λ_T branches from the keV supermassive sector to the PeV asteroid-mass sector. GC9 therefore defines a falsifiable restricted Kerr-mimicry framework for gravitational-wave, horizon-scale and compact-dark-matter tests.
ER -