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Dynamical Evolution of Quintessence Cosmology in a Physical Phase Space

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Abstract

The phase space analysis of cosmological parameters Ω ϕ and γ ϕ is given. Based on this, the well-known quintessence cosmology is studied with an exponential potential \(V(\phi )=V_{0}\exp (-\lambda \phi )\). 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.

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Acknowledgments

We appreciate the anonymous referees for their helpful suggestions to improve our manuscript. J.-Z. Qi would like to express his gratitude towards Prof. Rong-Jia Yang and Prof. Yun-Gui Gong for their generous help. This work is supported by the National Natural Science Foundation of China (Grant Nos. 11235003, 11175019, and 11178007).

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Authors and Affiliations

  1. Department of Physics, Institute of Theoretical Physics, Beijing Normal University, Beijing, 100875, China

    Jing-Zhao Qi, Ming-Jian Zhang & Wen-Biao Liu

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  1. Jing-Zhao Qi
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  2. Ming-Jian Zhang
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  3. Wen-Biao Liu
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Correspondence to Wen-Biao Liu.

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Qi, JZ., Zhang, MJ. & Liu, WB. Dynamical Evolution of Quintessence Cosmology in a Physical Phase Space. Int J Theor Phys 55, 3672–3681 (2016). https://doi.org/10.1007/s10773-016-2996-9

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  • DOI: https://doi.org/10.1007/s10773-016-2996-9

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