New Solutions of the Inflationary Flow Equations

Abstract

The inflationary flow equations are a frequently used method of surveying the space of inflationary models. In these applications the infinite hierarchy of differential equations is truncated in a way which has been shown to be equivalent to restricting the set of models considered to those characterized by polynomial inflaton potentials. This paper explores a different method of solving the flow equations, which does not truncate the hierarchy and in consequence covers a much wider class of models while retaining the practical usability of the standard approach.

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Cited by in corpus (7)

• MCMC analysis of WMAP3 and SDSS data points to broken symmetry inflaton potentials and provides a lower bound on the tensor to scalar ratio
• Reconstructing a general inflationary action
• Approach to exact inflation in modified Friedmann equation
• Inflation in DBI models with constant gamma
• Hubble multi-scalar inflation
• Higher order terms in the inflaton potential and the lower bound on the tensor to scalar ratio r
• Some characteristics of three exact solutions of Einstein equations minimally coupled to a Quintessence field