Noether Symmetries in Scalar--Vector--Two-Form Cosmology with a Topological BF Interaction
Abstract
We study a canonical scalar field coupled to isotropic triplets of Abelian one-forms and two-forms through scalar-dependent kinetic functions and a constant topological BF interaction. By retaining the lapse in the homogeneous reduction, we recover the Friedmann constraint and identify a sufficient domain in which all twelve physical modes have positive kinetic terms and luminal high-frequency propagation. A separate exponential model admits an accelerating mixed solution with a∝ t2, nonzero asymptotic form fractions, and bounded normalized linear perturbations. For the Noether analysis, we choose a quadratic effective potential in flat minisuperspace coordinates and solve the zero-boundary determining equations. The canonical scalar potential is hyperbolic-squared or exponential, rather than a power law in the scalar field. The causal character of the potential coordinate separates three branches: Branch I admits a de Sitter limit, Branch II cannot sustain acceleration on regular future-complete expanding trajectories, and Branch III gives an exact solution with both form sectors active and late expansion a∝ t4/3. Comparisons with consistent uncoupled and reduced-field limits separate the form contributions from the scalar-driven acceleration. The BF term changes the finite-time exchange between the form sectors but supplies no direct negative-pressure source.
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BibTeX
@misc{akbarieh2026noether,
title = {{Noether Symmetries in Scalar--Vector--Two-Form Cosmology with a Topological BF Interaction}},
author = {Amin Rezaei Akbarieh and Yusuf Kucukakca},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.37278},
eprint = {2610.37278},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.37278},
}
RIS
TY - UNPB
TI - Noether Symmetries in Scalar--Vector--Two-Form Cosmology with a Topological BF Interaction
AU - Amin Rezaei Akbarieh
AU - Yusuf Kucukakca
PY - 2026
DA - 2026/10/27
PB - arXiv
DO - 10.48550/arxiv.2610.37278
UR - https://arxiv.org/abs/2610.37278
AB - We study a canonical scalar field coupled to isotropic triplets of Abelian one-forms and two-forms through scalar-dependent kinetic functions and a constant topological BF interaction. By retaining the lapse in the homogeneous reduction, we recover the Friedmann constraint and identify a sufficient domain in which all twelve physical modes have positive kinetic terms and luminal high-frequency propagation. A separate exponential model admits an accelerating mixed solution with a∝ t^2, nonzero asymptotic form fractions, and bounded normalized linear perturbations. For the Noether analysis, we choose a quadratic effective potential in flat minisuperspace coordinates and solve the zero-boundary determining equations. The canonical scalar potential is hyperbolic-squared or exponential, rather than a power law in the scalar field. The causal character of the potential coordinate separates three branches: Branch I admits a de Sitter limit, Branch II cannot sustain acceleration on regular future-complete expanding trajectories, and Branch III gives an exact solution with both form sectors active and late expansion a∝ t^4/3. Comparisons with consistent uncoupled and reduced-field limits separate the form contributions from the scalar-driven acceleration. The BF term changes the finite-time exchange between the form sectors but supplies no direct negative-pressure source.
ER -