Abstract
The polytropic gas model is investigated as an interacting dark energy scenario. The cosmological implications of the model including the evolution of EoS parameter w Λ, energy density ΩΛ and deceleration parameter q are investigated. We show that, depending on the parameter of model, the interacting polytropic gas can behave as a quintessence or phantom dark energy. In this model, the phantom divide is crossed from below to up. The evolution of q in the context of polytropic gas dark energy model represents the decelerated phase at the early time and accelerated phase later. The singularity of this model is also discussed. Eventually, we establish the correspondence between interacting polytropic gas model with tachyon, K-essence and dilaton scalar fields. The potential and the dynamics of these scalar field models are reconstructed according to the evolution of interacting polytropic gas.
Similar content being viewed by others
References
Perlmutter, S., et al.: Astrophys. J. 517, 565 (1999)
Bennett, C.L., et al.: Astrophys. J. Suppl. Ser. 148, 1 (2003)
Tegmark, M., et al.: Phys. Rev. D 69, 103501 (2004)
Allen, S.W., et al.: Mon. Not. R. Astron. Soc. 353, 457 (2004)
Alam, U., Sahni, V., Starobinsky, A.A.: J. Cosmol. Astropart. Phys. 0406, 008 (2004)
Huterer, D., Cooray, A.: Phys. Rev. D 71, 023506 (2005)
Gong, Y.G.: Int. J. Mod. Phys. D 14, 599 (2005)
Gong, Y.G.: Class. Quantum Gravity 22, 2121 (2005)
Wang, Y., Tegmark, M.: Phys. Rev. D 71, 103513 (2005)
Gong, Y.-g., Zhang, Y.-Z.: Phys. Rev. D 72, 043518 (2005)
Wetterich, C.: Nucl. Phys. B 302, 668 (1988)
Ratra, B., Peebles, J.: Phys. Rev. D 37, 321 (1988)
Caldwell, R.R.: Phys. Lett. B 545, 23 (2002)
Nojiri, S., Odintsov, S.D.: Phys. Lett. B 562, 147 (2003)
Nojiri, S., Odintsov, S.D.: Phys. Lett. B 565, 1 (2003)
Elizalde, E., Nojiri, S., Odinstov, S.D.: Phys. Rev. D 70, 043539 (2004)
Nojiri, S., Odintsov, S.D., Tsujikawa, S.: Phys. Rev. D 71, 063004 (2005)
Anisimov, A., Babichev, E., Vikman, A.: J. Cosmol. Astropart. Phys. 06, 006 (2005)
Chiba, T., Okabe, T., Yamaguchi, M.: Phys. Rev. D 62, 023511 (2000)
Armendáriz-Picón, C., Mukhanov, V., Steinhardt, P.J.: Phys. Rev. Lett. 85, 4438 (2000)
Armendáriz-Picón, C., Mukhanov, V., Steinhardt, P.J.: Phys. Rev. D 63, 103510 (2001)
Sen, A.: J. High Energy Phys. 04, 048 (2002)
Padmanabhan, T.: Phys. Rev. D 66, 021301 (2002)
Padmanabhan, T., Choudhury, T.R.: Phys. Rev. D 66, 081301 (2002)
Gasperini, M., Piazza, F., Veneziano, G.: Phys. Rev. D 65, 023508 (2002)
Arkani-Hamed, N., Creminelli, P., Mukohyama, S., Zaldarriaga, M.: J. Cosmol. Astropart. Phys. 04, 001 (2004)
Piazza, F., Tsujikawa, S.: J. Cosmol. Astropart. Phys. 07, 004 (2004)
Kamenshchik, A., Moschella, U., Pasquier, V.: Phys. Lett. B 511, 265 (2001)
Bento, M.C., Bertolami, O., Sen, A.A.: Phys. Rev. D 66, 043507 (2002)
Setare, M.R.: Eur. Phys. J. C 52, 689 (2007)
Deffayet, C., Dvali, G.R., Gabadaaze, G.: Phys. Rev. D 65, 044023 (2002)
Sahni, V., Shtanov, Y.: J. Cosmol. Astropart. Phys. 0311, 014 (2003)
Horava, P., Minic, D.: Phys. Rev. Lett. 85, 1610 (2000)
Horava, P., Minic, D.: Phys. Rev. Lett. 509, 138 (2001)
Thomas, S.: Phys. Rev. Lett. 89, 081301 (2002)
Setare, M.R.: Phys. Lett. B 644, 99 (2007)
Setare, M.R.: Phys. Lett. B 654, 1 (2007)
Setare, M.R.: Phys. Lett. B 642, 1 (2006)
Setare, M.R.: Eur. Phys. J. C 50, 991 (2007)
Setare, M.R.: Phys. Lett. B 648, 329 (2007)
Setare, M.R.: Phys. Lett. B 653, 116 (2007)
Cai, R.G.: Phys. Lett. B 657, 228 (2007)
Wei, H., Cai, R.G.: Phys. Lett. B 660, 113 (2008)
’t Hooft, G.: gr-qc/9310026 (1993)
Susskind, L.: J. Math. Phys. 36, 6377 (1995)
Karolyhazy, F.: Nuovo Cimento A 42, 390 (1966)
Karolyhazy, F., Frenkel, A., Lukacs, B.: In: Shimony, A., Feschbach, H. (eds.) Physics as Natural Philosophy. MIT Press, Cambridge (1982)
Karolyhazy, F., Frenkel, A., Lukacs, B.: In: Penrose, R., Isham, C.J. (eds.) Quantum Concepts in Space and Time. Clarendon Press, Oxford (1986)
Bertolami, O., Gil Pedro, F., Le Delliou, M.: Phys. Lett. B 654, 165 (2007)
Feng, C., Wang, B., Gong, Y., Su, R.K.: J. Cosmol. Astropart. Phys. 0709, 005 (2007)
Bennett, C.L., et al.: Astrophys. J. Suppl. Ser. 148, 1 (2003)
Spergel, D.N.: Astrophys. J. Suppl. Ser. 148, 175 (2003)
Tegmark, M., et al.: Phys. Rev. D 69, 103501 (2004)
Seljak, U., Slosar, A., McDonald, P.: J. Cosmol. Astropart. Phys. 10, 014 (2006)
Spergel, D.N., et al.: Astrophys. J. Suppl. Ser. 170, 377 (2007)
Mukhopadhyay, U., Ray, S.: Mod. Phys. Lett. A 23, 3198 (2008)
Karami, K., Abdolmaleki, A.: Astrophys. Space Sci. 330, 133 (2010)
Karami, K., Ghaffari, S., Fehri, J.: Eur. Phys. J. C 64, 85 (2009)
Nojiri, S., Odintsov, S.D., Tsujikawa, S.: Phys. Rev. D 71, 063004 (2005)
Wei, H., Cai, R.G.: Eur. Phys. J. C 59, 105 (2009)
Karami, K., Abdolmaleki, A.: arXiv:1009.3587 (2009)
Christensen-Dalsgard, J.: Lecture Notes on Stellar Structure and Evolution, 6th edn. Aarhus University Press, Aarhus (2004)
Spergel, D.N., et al.: Astrophys. J. Suppl. Ser. 170, 377 (2007)
Sheykhi, A.: Phys. Lett. B 680, 113 (2009)
Wei, H., Cai, R.G.: Phys. Lett. B 660, 113 (2008)
Zhang, L., Cui, J., Zhang, J., Zhang, X.: Int. J. Mod. Phys. D 19, 21 (2010)
Chimento, L.P.: Phys. Rev. D 81, 043525 (2010)
Bagla, J.S., Jassal, H.K., Padmanabhan, T.: Phys. Rev. D 67, 063504 (2003). astro-ph/0212198
Shao, Y., Gui, Y.-X., Wang, W.: Mod. Phys. Lett. A 22, 1175–1182 (2007). gr-qc/0703112
Calcagni, G., Liddle, A.R.: Phys. Rev. D 74, 043528 (2006). astro-ph/0606003
Copeland, E.J., Garousi, M.R., Sami, M., Tsujikawa, S.: Phys. Rev. D 71, 043003 (2005). hep-th/0411192
Sen, A.: J. High Energy Phys. 0204, 048 (2002)
Sen, A.: J. High Energy Phys. 0207, 065 (2002)
Sen, A.: Mod. Phys. Lett. A 17, 1797 (2002). arXiv:hep-th/0312153
Sen, A.: J. High Energy Phys. 9910, 008 (1999)
Bergshoeff, E.A., de Roo, M., de Wit, T.C., Eyras, E., Panda, S.: J. High Energy Phys. 0005, 009 (2000)
Kluson, J.: Phys. Rev. D 62, 126003 (2000)
Kutasov, D., Niarchos, V.: Nucl. Phys. B 666, 56 (2003)
Sen, A.: Mod. Phys. Lett. A 17, 1797 (2002)
Lambert, N.D., Sachs, I.: Phys. Rev. D 67, 026005 (2003)
Chiba, T., et al.: Phys. Rev. D 62, 023511 (2000)
Armendariz-Picon, C., et al.: Phys. Rev. Lett. 85, 4438 (2000)
Armendariz-Picon, C., et al.: Phys. Rev. Lett. 63, 103510 (2001)
Piazza, F., Tsujikawa, S.: J. Cosmol. Astropart. Phys. 0407, 004 (2004)
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Malekjani, M., Khodam-Mohammadi, A. & Taji, M. Cosmological Implications of Interacting Polytropic Gas Dark Energy Model in Non-flat Universe. Int J Theor Phys 50, 3112–3124 (2011). https://doi.org/10.1007/s10773-011-0812-0
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10773-011-0812-0