Cosmic Dynamics with Quintessence as Dark Energy Model

Various models of dark energy have been proposed to explain cosmic acceleration. Quintessence is one of dark energy models in the form of a scalar field. With its Lagrangian that takes a form of kinetic component and its potential, it is possible for this scalar field to drive late-time cosmic acceleration. In this work, cosmic dynamics with the presence of a quintessence has been derived. I will start by reviewing about phase plane analysis of a model with exponential potential. After that, cosmic dynamics for the case of non-exponential potential is derived. In the case of non-exponential potential, there will be a tracker solution that attract other trajectories to a common evolutionary path. In addition, I will discuss about reconstruction of quintessence from observations, starting from reconstruction of the field potential, to the evolution of its equation of state. I will also review about statefinder parameters (Sahni et al., 2003) that can be used to distinguish any dark energy models from cosmological constant. Finally, (w_ϕ,w'_ϕ) plane as a classification of quintessence models is discussed. Keywords: quintessence, exponential potential, tracker solution, evolution of equation of state