Anisotropic Cosmology with Inhomogeneous $SU(2) $ and SL(2,ℝ) Nonlinear σ-Models

Abstract

We investigate the cosmological dynamics of the nonlinear σ-model in a locally rotational symmetric Bianchi V background geometry. We employ the SU(2) and the SL(2,ℝ) internal symmetries, for which the kinetic metric of the multi-scalar fields is a space of constant curvature. We assume an inhomogeneous ansatz for the scalar fields, such that the σ-model, which allows the existence of nontrivial solutions in the Bianchi V geometry. For an exponential potential, we perform a detailed analysis of the phase space, we determine the stationary points, and we study their stability properties. The scalar field inhomogeneities prevent both the slow-roll and hyperbolic inflationary epochs. The existence of a cosmological constant is required to describe cosmic acceleration.

Anisotropic ising model on 2D Kagomé lattice as an inhomogeneous XYZ integrable model
Shahane A. Khachatryan, Hrachia Babujian, Ara G. Sedrakyan
Nuclear Physics B30 Oct 2026Peer-reviewedCC BY 4.0Full textAtomic, molecular & optical physicsCrossref
Affine spin-pencil factorization of generalized driven anisotropic Rabi--Stark Hamiltonians in an inhomogeneous orthosymplectic superalgebra
B. M. Rodriguez-Lara, F. H. Maldonado-Villamizar, A. Kafuri +1
arXiv29 Sep 2026PreprintarXiv licenceFull textQuantum physics & quantum informationarXiv
Analysis of C-point and V-point Inhomogeneous Vector Beams Stability under Anisotropic Turbulence in Ground-to-Air Transmission
Sagar, Sanjay Kumar Mishra, Akhilesh Kumar Mishra
arXiv26 Oct 2026PreprintCC BY 4.0Full textOptics & photonicsarXiv
Nonlinear responses induced by inhomogeneous edge states in a centrosymmetric topological insulator
Yitian Guo, Chengxin Jiang, Chenxi Liu +19
Nature Communications28 Oct 2026Peer-reviewedCC BY-NC-ND 4.0Atomic, molecular & optical physicsCrossref
Self-similar vector solitons for the coupled higher-order nonlinear Schrodinger equations in inhomogeneous optical fibers
Houria Triki, Vladimir I. Kruglov
arXiv10 Sep 2026PreprintarXiv licenceFull textStatistical & nonlinear physicsarXiv

Cite

BibTeX RIS

BibTeX

@misc{dimakis2026anisotropic,
  title = {{Anisotropic Cosmology with Inhomogeneous $SU(2) $ and $SL(2,\mathbbR)$ Nonlinear $σ$-Models}},
  author = {N. Dimakis and A. Giacomini and G. Leon and F. Moncada and A. Paliathanasis},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.09049},
  eprint = {2610.09049},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.09049},
}

RIS

TY  - UNPB
TI  - Anisotropic Cosmology with Inhomogeneous $SU(2) $ and SL(2,ℝ) Nonlinear σ-Models
AU  - N. Dimakis
AU  - A. Giacomini
AU  - G. Leon
AU  - F. Moncada
AU  - A. Paliathanasis
PY  - 2026
DA  - 2026/10/06
PB  - arXiv
DO  - 10.48550/arxiv.2610.09049
UR  - https://arxiv.org/abs/2610.09049
AB  - We investigate the cosmological dynamics of the nonlinear σ-model in a locally rotational symmetric Bianchi V background geometry. We employ the SU(2) and the SL(2,ℝ) internal symmetries, for which the kinetic metric of the multi-scalar fields is a space of constant curvature. We assume an inhomogeneous ansatz for the scalar fields, such that the σ-model, which allows the existence of nontrivial solutions in the Bianchi V geometry. For an exponential potential, we perform a detailed analysis of the phase space, we determine the stationary points, and we study their stability properties. The scalar field inhomogeneities prevent both the slow-roll and hyperbolic inflationary epochs. The existence of a cosmological constant is required to describe cosmic acceleration.
ER  -

Abstract

Related

Cite