Emergence of cosmological scaling behavior in the asymptotic regime

Abstract

© 2019 American Physical Society. We consider a scalar field system with a class of potentials given by the expression V(φ) φmexp(-λφn/MPln), m≥0, n≥1, for which Γ=VφφV/Vφ2→1 as |φ|→∞. We carry out a dynamical analysis for the underlying system choosing a suitable set of autonomous variables and find all of the fixed points. In particular, we show that the scaling solution is an attractor of the system in the asymptotic regime. We indicate the application of the solution to models of quintessential inflation.