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Vanishing Island: Spectral Criticality in Boson Stars
Abstract
We identify a cusp-type endpoint at which a finite radially stable region of solitonic boson stars disappears. Two fundamental radial zero-mode boundaries coalesce there, while the constrained quadratic stiffness and cubic coefficient vanish and the quartic coefficient remains finite and non-zero. The soft radial mode obeys Ωsoft∝ (σcusp−σ)1/2, revealing a divergent linear timescale at the endpoint. The same critical structure persists under the tested deformation of the scalar self-interaction.
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BibTeX
@misc{ge2026vanishing,
title = {{Vanishing Island: Spectral Criticality in Boson Stars}},
author = {Bo-Xuan Ge},
howpublished = {arXiv},
year = {2026},
month = nov,
doi = {10.48550/arxiv.2611.01826},
eprint = {2611.01826},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2611.01826},
}
RIS
TY - UNPB
TI - Vanishing Island: Spectral Criticality in Boson Stars
AU - Bo-Xuan Ge
PY - 2026
DA - 2026/11/01
PB - arXiv
DO - 10.48550/arxiv.2611.01826
UR - https://arxiv.org/abs/2611.01826
AB - We identify a cusp-type endpoint at which a finite radially stable region of solitonic boson stars disappears. Two fundamental radial zero-mode boundaries coalesce there, while the constrained quadratic stiffness and cubic coefficient vanish and the quartic coefficient remains finite and non-zero. The soft radial mode obeys Ω_soft∝ (σ_cusp−σ)^1/2, revealing a divergent linear timescale at the endpoint. The same critical structure persists under the tested deformation of the scalar self-interaction.
ER -