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Abstract <p>We consider a 7-dimensional cosmology on a principal bundle with the non-Abelian Lie group <i>SU</i>(2). The metric on the base is just the Friedmann<i>–</i>Lemaitre<i>–</i>Robertson<i>–</i>Walker metric and the metric on the Lie group is bi-invariant and depends on the corresponding scale factor. We prove that the Riemannian curvature of the Lie group contributes to the scalar curvature of the bundle and this contribution can be interpreted as the cosmological constant Λ (dark energy is the physical manifestation of the curvature of the Lie group). The result is a new cosmological model, which is a generalization of the Standard Cosmological Model ΛCDM with two new parameters that can be found by means of a regression problem with data on the luminosity of type-Ia supernovae.</p>

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Cosmology on a Principal Bundle with the Non-Abelian Lie group SU(2) with a Bi-Invariant Metric

  • 期刊论文

  • 发表日期：

    2025年12月1日

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  • V. R. Krym

摘要

Abstract

We consider a 7-dimensional cosmology on a principal bundle with the non-Abelian Lie group SU(2). The metric on the base is just the Friedmann–Lemaitre–Robertson–Walker metric and the metric on the Lie group is bi-invariant and depends on the corresponding scale factor. We prove that the Riemannian curvature of the Lie group contributes to the scalar curvature of the bundle and this contribution can be interpreted as the cosmological constant Λ (dark energy is the physical manifestation of the curvature of the Lie group). The result is a new cosmological model, which is a generalization of the Standard Cosmological Model ΛCDM with two new parameters that can be found by means of a regression problem with data on the luminosity of type-Ia supernovae.