A new cosmological tracker solution for Quintessence

Abstract

In this paper we propose a quintessence model with the potential $V(Φ)=V_{o}[ \sinh {(α\sqrt{κ_{o}}ΔΦ})] ^β$, which asymptotic behavior corresponds to an inverse power-law potential at early times and to an exponential one at late times. We demonstrate that this is a tracker solution and that it could have driven the Universe into its current inflationary stage. The exact solutions and the description for a complete evolution of the Universe are also given. We compare such model with the current cosmological observations.