Dynamical evolution of quintessence cosmology in a physical phase space

Abstract

The phase space analysis of cosmological parameters ${\Omega }_{\varphi }$ and ${\gamma }_{\varphi }$ is given. Based on this, the well-known quintessence cosmology is studied with an exponential potential $V(\varphi )=V_0\exp (-\lambda \varphi )$. Given observational data, the current state of universe could be pinpointed in the phase diagrams, thus making the diagrams more informative. The scaling solution of quintessence usually is not supposed to give the cosmic accelerating expansion, but we prove it could educe the transient acceleration. We also find that the differential equations of system used widely in study of scalar field are incomplete, and then a numerical method is used to figure out the range of application.

Accepted: 21 March 2016, Int J Theor Phys 2016

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• Dynamics of cosmological scalar fields
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Cited by in corpus (3)

• Dynamical systems applied to cosmology: dark energy and modified gravity
• Dynamical System Analysis of Quintessence Models with Exponential Potential -- Revisited
• A dynamical systems perspective on the thermodynamics of late-time cosmology