Dynamics of inflation with mutually orthogonal vector fields in a closed universe

Abstract

We study the dynamics of a homogeneous, isotropic, and positively curved universe in the presence of a SU(2) gauge field or a triplet of mutually orthogonal vector fields. In the SU(2) case we use the previously known ansatz for the gauge-field configuration, but the case without non-abelian symmetries is more nontrivial and we develop a new ansatz. We in particular consider axion-SU(2) inflation and inflation with vector fields having U(1)$\times$U(1)$\times$U(1) symmetry, and analyze their dynamics in detail numerically. Novel effects of the spatial curvature come into play through vector fields, which causes unconventional pre-inflationary dynamics. It is found that the closed universe with vector fields is slightly more stable against collapse than that filled solely with an inflaton field.

arXiv comment9 pages, 7 figures

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Cited by in corpus (8)

• Constant-roll inflation in the generalized SU(2) Proca theory
• Chromo-natural inflation supported by enhanced friction from Horndeski gravity
• Inflation with antisymmetric tensor field: new candidates
• How does SU($N$)-natural inflation isotropize the universe?
• Inflation using a triplet of Antisymmetric tensor fields
• Scalar and vector modes in inflation with antisymmetric tensor field
• The canonical energy-momentum currents in cosmology
• Power-law Bianchi type I inflation with multiple vector fields