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Reexamining generalized Chaplygin gas with the sign-changeable interaction

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Abstract

In this paper, we reexamine the generalized Chaplygin gas (GCG) cosmology with the sign-changeable interaction. The dynamical analysis show that there exists de-Sitter attractors in this model, which means that the late-time behaviors of the model is insensitive to the initial condition and thus alleviates the coincidence problem. Furthermore, we find that this interaction oscillates and tends to zero finally by numerical calculations of the nonlinear equations. In some specific cases of initial conditions, the interaction is positive (the energy transition from dark energy to dark matter) at high redshift while it is negative (the energy transition from dark matter to dark energy) at low redshift for suitable ranges of the parameters.

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Acknowledgements

We thank Prof. X.Z. Li for helpful discussions. This work is supported by National Science Foundation of China grant. No. 11205102 and Innovation Program of Shanghai Municipal Education Commission (12YZ089).

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  1. Shanghai United Center for Astrophysics (SUCA), Shanghai Normal University, 100 Guilin Road, Shanghai, 200234, China

    Ping Xi & Ping Li

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  1. Ping Xi
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  2. Ping Li
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Appendix

Appendix

Table 3 All the critical points and their physical conditions for the interacting GCG cosmology with \(Q=3\beta qH(\rho_{g}+\rho_{m})\)
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Table 4 All the critical points and their physical conditions for the interacting GCG cosmology with \(Q=3\beta qH\rho_{g}\)
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Xi, P., Li, P. Reexamining generalized Chaplygin gas with the sign-changeable interaction. Astrophys Space Sci 360, 3 (2015). https://doi.org/10.1007/s10509-015-2512-3

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