https://doi.org/10.1140/epjc/s10052-025-14856-w
Regular Article - Theoretical Physics
Kaluza–Klein inspired a model of the inflation with the inverse power law potential in Bianchi type-I universe
1
Khon Kaen Particle Physics and Cosmology Theory Group (KKPaCT), Department of Physics, Faculty of Science, Khon Kaen University, 123 Mitraphap Rd., 40002, Khon Kaen, Thailand
2
School of Science, Walailak University, Thasala, 80160, Nakhon Si Thammarat, Thailand
Received:
12
July
2025
Accepted:
22
September
2025
Published online:
10
October
2025
This work considers the dynamics of the gauge vector and inflaton (dilaton) fields inspired by Kaluza–Klein theory in an inflationary universe with Bianchi type-I spacetime. The inverse power-law potential of the inflaton field is used to study dynamical system analysis. As a result, all fixed points in the autonomous system are non-hyperbolic fixed points, and one cannot determine their stability. Therefore, a center manifold theory is required to analyze the stability of the dynamical system properly. Interestingly, we found an isotropic attractor point which means that the universe undergoes accelerated expansion (inflation) from an anisotropic phase to an isotropic phase of the universe. According to the dynamical system analysis of the anisotropic Bianchi type-I universe with the inspired Kaluza–Klein model, our results supported the isotropization of the observed universe.
© The Author(s) 2025
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Funded by SCOAP3.
