Abstract
There are various cosmological models with polytropic equation of state associated to dark energy. Polytropic EoS has important applications in astrophysics, therefore a study of it on cosmological framework continues to be interesting. From the other hand, there are various forms of interactions phenomenologically involved into the darkness of the universe able to solve important cosmological problems. This is a motivation for us to perform a phase space analysis of various cosmological scenarios where non-linear interacting polytropic gas models are involved. Dark matter is taken to be a pressureless fluid.
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References
Abazajian, K., et al.: Astron. J. 128, 502–512 (2004)
Abazajian, K., et al.: Astron. J. 129, 1755–1759 (2005)
Acquaviva, G., et al.: arXiv:1505.01965 (2015)
Arevalo, F., et al.: Class. Quantum Gravity 29, 23 (2012)
Bamba, K., et al.: Astrophys. Space Sci. 342, 155–228 (2012)
Bamba, K., et al.: arXiv:1508.05451 (2015)
Bento, M.C., et al.: Phys. Rev. D 66, 043507 (2002)
Bento, M.C., et al.: Gen. Relativ. Gravit. 35, 2063–2069 (2003)
Brevik, I., et al.: Universe 1, 24–37 (2015)
Buchert, T., et al.: Annu. Rev. Nucl. Part. Sci. 62, 57–79 (2012)
Cai, R.G., et al.: J. Cosmol. Astropart. Phys. 0503, 002 (2005)
Cai, R.G., et al.: Phys. Rev. D 81, 103514 (2010)
Cai, R.-G., et al.: Phys. Rev. D 84, 123501 (2011)
Capozziello, S., et al.: J. Cosmol. Astropart. Phys. 04, 005 (2005)
Chen, X.M., et al.: J. Cosmol. Astropart. Phys. 0904, 001 (2009)
Chen, X., et al.: J. Cosmol. Astropart. Phys. 07, 005 (2012)
Chimento, L.P.: Phys. Rev. D 81, 043525 (2010)
Clifton, T., et al.: Phys. Rep. 513, 1 (2012)
Forte, M.: Gen. Relativ. Gravit. 46, 1811 (2014)
Fuhrer, F., et al.: arXiv:1509.03073 (2015)
Giovannini, M.: Class. Quantum Gravity 32, 15 (2015)
Guo, K., et al.: J. Cosmol. Astropart. Phys. 0505, 002 (2005)
Hawkins, E., et al.: Mon. Not. R. Astron. Soc. 346, 78–96 (2003)
He, J.H., et al.: Phys. Rev. D 80, 063530 (2009)
Jamil, M., et al.: Eur. Phys. J. C 56, 429 (2008)
Jarv, L., et al.: J. Cosmol. Astropart. Phys. 0408, 016 (2004)
Kamenshchik, A.Yu., et al.: Phys. Lett. B 511, 265–268 (2001)
Karami, K., et al.: Eur. Phys. J. C 64, 85 (2009)
Khurshudyan, M., et al.: Astrophys. Space Sci. 357, 113 (2015a)
Khurshudyan, M., et al.: arXiv:1509.02263 (2015b)
Kremer, G.M.: Phys. Rev. D 68, 123507 (2003)
Koyama, K., et al.: Phys. Rev. D 75, 084040 (2007)
Leon, G., et al.: Phys. Lett. B 732, 285 (2014)
Li, M.: J. Cosmol. Astropart. Phys. 12, 002 (2005)
Li, M., et al.: J. Cosmol. Astropart. Phys. 04, 003 (2012)
Nojiri, S., et al.: Phys. Rev. D 72, 023003 (2005)
Perlmutter, S., et al.: Astrophys. J. 517, 565–586 (1999)
Pourhassan, B., et al.: Results Phys. 4, 101–102 (2014)
Rasanen, S., et al.: Class. Quantum Gravity 28, 164008 (2011)
Riess, A.G., et al.: Astron. J. 116, 1009 (1998)
Sasidharan, A., et al.: arXiv:1411.5154 (2014)
Setare, M.R.: Phys. Lett. B 642, 421 (2006)
Setare, M.R.: Phys. Lett. B 653, 116 (2007a)
Setare, M.R.: Phys. Lett. B 648, 329 (2007b)
Setare, M.R.: Eur. Phys. J. C 52, 689 (2007c)
Setare, M.R.: Phys. Lett. B 654, 1 (2007d)
Setare, M.R.: Int. J. Mod. Phys. D 18, 419 (2009)
Setare, M.R., et al.: Phys. Lett. B 673, 241 (2009)
Som, S., et al.: Astrophys. Space Sci. 352, 867 (2014)
Tegmark, M., et al.: Phys. Rev. D 69, 103501 (2004)
Velten, H., et al.: Eur. Phys. J. C 74, 11 (2014)
Villata, M.: Astrophys. Space Sci. 345, 1–9 (2013)
Wei, H.: Nucl. Phys. B 845, 381 (2011)
Wei, H., et al.: Phys. Rev. D 73, 083002 (2006)
Wu, P., et al.: Class. Quantum Gravity 24, 4661 (2007)
Xu, Y.D., et al.: Astrophys. Space Sci. 343, 807 (2013)
Yang, R., et al.: Class. Quantum Gravity 28, 065012 (2011)
Yoo, J., et al.: Int. J. Mod. Phys. D 21, 1230002 (2012)
Zhang, H., et al.: Phys. Rev. D 73, 043518 (2006)
Acknowledgements
M. Khurshudyan is grateful to Prof. E. Kokanyan for warm hospitality, comprehensive support and stimulating discussion.
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Khurshudyan, M. Some non-linear interactions in polytropic gas cosmology: phase space analysis. Astrophys Space Sci 360, 33 (2015). https://doi.org/10.1007/s10509-015-2540-z
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DOI: https://doi.org/10.1007/s10509-015-2540-z