Abstract
We investigate the background dynamics when dark energy is coupled to dark matter in the universe described by loop quantum cosmology. We consider dark energy of the form modified Chaplygin gas. The dynamical system of equations is solved numerically and a stable scaling solution is obtained. It henceforth resolves the famous cosmic coincidence problem in modern cosmology. The statefinder parameters are also calculated to classify this dark energy model.
References
Alcaniz, J.S., Lima, J.A.S.: Phys. Rev. D 72, 063516 (2005)
Barreiro, T., Sen, A.A.: Phys. Rev. D 70, 124013 (2004)
Barriero, T., et al.: Phys. Rev. D 78, 043530 (2008)
Carturan, D., Finelli, F.: Phys. Rev. D 68, 103501 (2003)
Chen, S., Wang, B., Jing, J.: Phys. Rev. D 78, 123503 (2008)
Copeland, E.J., Sami, M., Tsujikawa, T.: Int. J. Mod. Phys. D 15, 1753 (2006)
Dao-Jun, L., Xin-Zhou, L.: Chin. Phys. Lett. 22, 1600 (2005)
Debnath, U.: arXiv:0710.1708 [gr-qc] (2007)
del Campo, S., et al.: arXiv:0812.2210v1 [gr-qc] (2008)
Feng, C., et al.: Phys. Lett. B 665, 111 (2008)
Fu, X., Yu, H., Wu, P.: Phys. Rev. D 78, 063001 (2008)
Guo, Z.-K., Zhang, Y.-Z.: Phys. Rev. D 71, 023501 (2005)
Hu, B., Ling, Y.: Phys. Rev. D 73, 123510 (2006)
Jamil, M.: Int. J. Theor. Phys. 49, 62 (2010)
Jamil, M., Farooq, M.U.: J. Cosmol. Astropart. Phys. 03, 001 (2010)
Jamil, M., Rahman, F.: Eur. Phys. J. C 64, 97 (2009)
Jamil, M., Saridakis, E.N.: J. Cosmol. Astropart. Phys. 07, 028 (2010)
Jamil, M., Saridakis, E.N., Setare, M.R.: Phys. Rev. D 81, 023007 (2010a)
Jamil, M., Sheykhi, A., Farooq, M.U.: Int. J. Mod. Phys. D 19, 1831 (2010b)
Jing, H., et al.: Chin. Phys. Lett. 25, 347 (2008)
Kamenshchik, A., et al.: Phys. Lett. B 511, 265 (2001)
Lu, J., et al.: Phys. Lett. B 662, 87 (2008)
Makler, M., et al.: Phys. Lett. B 555, 1 (2003)
Padmanabhan, T.: Phys. Rep. 380, 235 (2003)
Panotopoulos, G.: Phys. Rev. D 77, 107303 (2008)
Peebles, P.J.E., Ratra, B.: Astrophys. J. Lett. 325, L17 (1988)
Perlmutter, S., et al.: Astrophys. J. 517, 565 (1999)
Riess, A., et al.: Astron. J. 116, 1009 (1998)
Sahni, V., Starobinsky, A.A.: Int. J. Mod. Phys. D 9, 373 (2000)
Sahni, V., et al.: J. Exp. Theor. Phys. 77, 201 (2003)
Setare, M.R.: Phys. Lett. B 642, 1 (2006)
Setare, M.R.: Eur. Phys. J. C 50, 991 (2007a)
Setare, M.R.: Phys. Lett. B 648, 329 (2007b)
Setare, M.R.: Eur. Phys. J. C 52, 689 (2007c)
Setare, M.R.: Int. J. Mod. Phys. D 18, 419 (2009)
Wu, P., Yu, H.: Class. Quantum Gravity 24, 4661 (2007)
Wu, P., Zhang, S.N.: J. Cosmol. Astropart. Phys. 06, 007 (2008)
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Jamil, M., Debnath, U. Interacting modified Chaplygin gas in loop quantum cosmology. Astrophys Space Sci 333, 3–8 (2011). https://doi.org/10.1007/s10509-011-0651-8
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10509-011-0651-8