Dynamics of the Inflationary Flow Equations

Details Dynamics of the Inflationary Flow Equations Dynamics of the Inflationary Flow Equations

2005-08-16

arxiv.org/abs/astro-ph/0508355v3

Phys.Rev. D72 (2005) 083520

Astronomy and Astrophysics

Astrophysics

9 pages 4 figures. Accepted for publication in Physical Review D

Scientific paper

10.1103/PhysRevD.72.083520

We present a dynamical analysis of the inflationary flow equations. Our technique uses the Hubble `jerk' parameter 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_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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