Abstract
We present a dynamical analysis of the inflationary flow equations. Our technique uses the Hubble 'jerk' parameter {xi}{identical_to}(m{sub Pl}{sup 4}/16{pi}{sup 2})H{sup -2}(dH/d{phi}d{sup 3}H/d{phi}{sup 3}) (where H is the Hubble parameter and {phi} the inflaton) as a discriminant of stability of fixed points. The results of the analysis are used to explain qualitatively the distribution of various observable parameters (e.g. the tensor-scalar ratio, r, and scalar spectral index, n{sub s}) seen in numerical solutions of the flow equations using stochastic initial conditions. Finally, we give a physical interpretation of the flow in phase-space in terms of slow-roll motion of the inflaton.
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