New cosmological tracker solution for quintessence

L. Arturo Ureña-López and Tonatiuh Matos

Abstract

In this paper we propose a quintessence model with the potential 𝑉(𝛷⁢)=𝑉0⁢[sinh⁡(𝛼⁢√𝜅0⁢𝛥⁢𝛷)]𝛽 with 𝛽<0, whose 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 a model with current cosmological observations.

DOI: 10.1103/PhysRevD.62.081302