Scalar halos and conical matching for finite-width vortices at a wormhole throat
Abstract
We study the static matter constraint associated with a conical deficit that varies along a string near a wormhole throat. A positive scalar-dependent factor multiplying the complete Abelian-Higgs Lagrangian couples a finite-width vortex to a canonical kink. At critical coupling, we obtain the leading longitudinally varying vortex tension. The flat-kink fluctuation operator has an even translational mode and an odd shape mode of mass √3/Lχ. Reflection symmetry excludes the translational mode from the leading sourced response. We formulate the response with nonzero dressed-string boundary conditions at the longitudinal ends and derive a finite-range transverse halo. In the overlap w≪ρ≪ Lχ, its mixed stress satisfies 2πC δTχ ρl=∂lμv(0) to leading order, where 2πC is the azimuthal circumference. Together with the local weak-gravity deficit relation, this supplies the leading mixed Einstein constraint of a restricted varying cone. At fixed longitudinal position the sourced halo instead decays beyond Lχ. Consequently, it cannot sustain that restricted cone throughout an outer overlap unless another source contributes the missing mixed stress. This obstruction is conditional on the response of the wormhole-supporting sector and is not a no-go result for general axisymmetric metrics. A finite-width calculation checks the linear-response crossover. We specify the perturbative domain and explain why a rotating extension requires an independent solution of Gauss's law. No complete backreacted wormhole solution or stability result is claimed.
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BibTeX
@misc{subhash2026scalar,
title = {{Scalar halos and conical matching for finite-width vortices at a wormhole throat}},
author = {Vedant Subhash},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.26901},
eprint = {2609.26901},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.26901},
}
RIS
TY - UNPB
TI - Scalar halos and conical matching for finite-width vortices at a wormhole throat
AU - Vedant Subhash
PY - 2026
DA - 2026/09/24
PB - arXiv
DO - 10.48550/arxiv.2609.26901
UR - https://arxiv.org/abs/2609.26901
AB - We study the static matter constraint associated with a conical deficit that varies along a string near a wormhole throat. A positive scalar-dependent factor multiplying the complete Abelian-Higgs Lagrangian couples a finite-width vortex to a canonical kink. At critical coupling, we obtain the leading longitudinally varying vortex tension. The flat-kink fluctuation operator has an even translational mode and an odd shape mode of mass √3/L_χ. Reflection symmetry excludes the translational mode from the leading sourced response. We formulate the response with nonzero dressed-string boundary conditions at the longitudinal ends and derive a finite-range transverse halo. In the overlap w≪ρ≪ L_χ, its mixed stress satisfies 2πC δT^χ ρ_l=∂_lμ_v^(0) to leading order, where 2πC is the azimuthal circumference. Together with the local weak-gravity deficit relation, this supplies the leading mixed Einstein constraint of a restricted varying cone. At fixed longitudinal position the sourced halo instead decays beyond L_χ. Consequently, it cannot sustain that restricted cone throughout an outer overlap unless another source contributes the missing mixed stress. This obstruction is conditional on the response of the wormhole-supporting sector and is not a no-go result for general axisymmetric metrics. A finite-width calculation checks the linear-response crossover. We specify the perturbative domain and explain why a rotating extension requires an independent solution of Gauss's law. No complete backreacted wormhole solution or stability result is claimed.
ER -