
TL;DR
This paper provides exact and analytic solutions for the gauge-flation model, demonstrating the behavior of the scalar field and Hubble parameter, and discusses the reheating period within this non-Abelian gauge field inflation framework.
Contribution
It introduces exact and analytic solutions for the gauge-flation model, enhancing understanding of its dynamics and reheating process.
Findings
Exact solutions for scalar field and Hubble parameter are derived.
Hubble parameter and fields can behave as damped oscillators.
Reheating period in gauge-flation is analyzed.
Abstract
Recently Maleknejad and Sheikh-Jabbari have proposed a new model for inflation with non-Abelian gauge fields (Gauge-flation), and they have studied the model by numerical methods\cite{Sheikh}. In this model, the isotropy of space-time is recovered by suitable combination of gauge configurations, and a scalar field is constructed by gauge field and the scale factor, which produces inflation period. In this work, exact solutions for the scalar field and the Hubble parameter are presented and we provide analytic solutions for the numerical results. We explicitly present Hubble parameter and fields as functions of time and it is also demonstrated that in some conditions they are damped oscillator. Moreover, reheating period in the model is discussed.
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