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Dynamics of Multiple Scalar Fields Model of Dark Energy with Spatial Curvature

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Abstract

The dynamical system of multiple scalar fields in FRW universe with different spatial curvature have been analyzed in this paper. In the radiation-dominated phase, the constant curvature factor k does not work on the cosmic dynamical behaviors, including the scaling solution, energy density parameter and equation-of-state parameter. These aspects are affected by curvature factor k in the matter-dominated phase. In the special scalar field-dominated phase, the energy density parameter normalization restricts the Universe is spatial flat and the curvature factor k is not present in the dynamics. In this paper, the Universe is closed in the matter-dominated phase, and flat in the scalar field-dominated phase. The spatial flatness and the w ϕ =−1 in the third phase are coincide with the current observations.

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Acknowledgements

The authors are very thankful to Prof. P. Wu for his instructive directions.

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Correspondence to Linsen Zhang.

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Zhang, L., Chen, F. Dynamics of Multiple Scalar Fields Model of Dark Energy with Spatial Curvature. Int J Theor Phys 51, 3655–3663 (2012). https://doi.org/10.1007/s10773-012-1252-1

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  • DOI: https://doi.org/10.1007/s10773-012-1252-1

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