Deformation of Two Coupled Scalar Fields with Cosmological Solution

Abstract

We know that the cosmic acceleration in modern cosmology are discussed in Refs. [1–3]. The amount of dark energy is almost 70% of total energy of the universe. This energy causes the present cosmic acceleration. The dark energy is a hypothetical form of energy which permeates the whole space and tends to increase rate of expansion of the universe. The existence of dark energy is the most popular way to explain recent observations that the universe appears to be expanding at an accelerating rate. The standard Friedman–Robertson–Walker (FRW) model with the real scalar fields can be a candidate to describe the dark energy. Also the presence of acceleration in cosmology leads us to consider scalar fields. In order to investigate the rate of expansion we obtain first-order differential equation which solves the corresponding equation of motion. Evidently, the presence of first-order equation eases the process of solving specific models and also can be used to fully understand the related cosmic evolution. The key motivation for the present work has appeared after the work [4] which deals with FRW cosmology driven by real scalar field. As we know, if the scale factor a(t) is known, the potential V (t) and ∗corresponding author; e-mail: pouriya@ipm.ir