Uniform Rate Inflation

Abstract

In this work, I consider an inflation model with a quadratic potential and a negative cosmological constant. An analytical solution of the equation of motion for the inflaton field is found without slow-roll approximation. The result is that the inflation field is rolling at a constant speed. The prediction for cosmological perturbation is calculated.1 One motivation to consider a negative cosmological constant is that Anti-de Sitter (AdS) vacua are ubiquitous in string theory. Sometimes it is even suggested that string theory has no de Sitter (dS) vacua [7].