Abstract
In the present work we analyze the g-essence model for the particular Lagrangian: \(L=R+2[\alpha X^{n}+\epsilon Y-V(\psi,\bar{\psi})]\). The g-essence models were proposed recently as an alternative and a generalization of the scalar k-essence models. We have presented the three types of the solutions for the g-essence model. We reconstructed the corresponding potentials and the dynamics of the scalar and fermionic fields according the evolution of the scale factor. The results show that the g-essence model predicts that our universe can be in both of the decelerated and accelerated expansion phases. In late time limit, we show that there is a family of exact solutions in which the free parameter may be remains in the range of m>−1. Further we discuss the existence of the de Sitter solutions in such a model.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Armendariz-Picon, C., Damour, T., Mukhanov, V.F.: Phys. Lett. B 458, 209–218 (1999)
Armendariz-Picon, C., Mukhanov, V.F., Steinhardt, P.J.: Phys. Rev. Lett. 85, 4438–4441 (2000)
Armendariz-Picon, C., Mukhanov, V.F., Steinhardt, P.J.: Phys. Rev. D 63, 103510 (2001)
Armendariz-Picon, C., Greene, P.: Gen. Relativ. Gravit. 35, 1637–1658 (2003)
Anischenko, S.V., Cherkas, S.L., Kalashnikov, V.L.: (2010). arXiv:0911.0769
Balantekin, A.B., Dereli, T.: Phys. Rev. D 75, 024039 (2007)
Birrell, N.D., Davies, P.C.W.: Quantum Fields in Curved Space. Cambridge University Press, Cambridge (1982)
Boehmer, C.G., Burnett, J.: (2010a). arXiv:1001.1141
Boehmer, C.G., Burnett, J.: Mod. Phys. Lett. A. 25, 101–110 (2010b)
Boehmer, C.G., Burnett, J., Mota, D.F., Shawar, D.J.: (2010). arXiv:1003.3858
Cai, Y.F., Wang, J.: Class. Quant. Grav. 25, 165014 (2008)
Cataldo, M., Chimento, L.: (2007). arXiv:0710.4306
Cataldo, M., Chimento, L.: (2011). arXiv:1101.0281
Chiba, T., Okabe, T., Yamaguchi, M.: Phys. Rev. D 62, 023511 (2000)
Chimento, L.P., Devecchi, F.P., Forte, M., Kremer, G.M.: Class. Quant. Grav. 25, 085007 (2008)
Dereli, T., Ozdemir, N., Sert, O.: (2010). arXiv:1002.0958
Dzhunushaliev, V., Folomeev, V., Myrzakulov, R.: Phys. Lett. B 693, 209–212 (2010a)
Dzhunushaliev, V., Folomeev, V., Myrzakulov, R., Singleton, D.: Phys. Rev. D 82, 45032 (2010b)
Elizalde, E., Myrzakulov, R., Obukhov, V.V., Saez-Gomez, D.: Classical and Quantum Gravity 27, 095007 (2010)
Inagaki, T., Rybalov, Y., Meng, X.: (2011). arXiv:1102.5036
Jamil, M., Myrzakulov, Y., Razina, O., Myrzakulov, R.: (2011). arXiv:1107.1008
Kulnazarov, I., Yerzhanov, K., Razina, O., Myrzakul, Sh., Tsyba, P., Myrzakulov, R.: Eur. Phys. J. C 71, 1698 (2011)
Miao, S.P., Woodard, R.P.: Phys. Ref. D. 74, 044019 (2006)
Myrzakulov, R.: (2010). arXiv:1008.4486
Myrzakulov, R.: (2012). arXiv:1204.1093
Myrzakulov, R.: (2011). arXiv:1011.4337
Myrzakulov, R., Saez-Gomez, D., Tureanu, A.: Gen. Rel. Grav. 43, 1671–1684 (2011)
Perlmutter, S., et al.: Astrophys. J. 517, 565–586 (1999)
Rakhi, R., Vijayagovindan, G.V., Indulekha, K.: (2009). arXiv:0912.1222
Rakhi, R., Vijayagovindan, G.V., Noble, P.A., Indulekha, K.: IJMPA 25, 1267–1278 (2010)
Ryder, L.H.: Quantum Field Theory. Cambridge University Press, Cambridge (1996)
Ribas, M.O., Devecchi, F.P., Kremer, G.M.: Phys. Rev. D 72, 123502 (2005)
Ribas, M.O., Devecchi, F.P., Kremer, G.M.: Europhys. Lett. 81, 19001 (2008)
Ribas, M.O., Kremer, G.M.: Grav. Cosmol. 16, 173–177 (2010)
Ribas, M.O., Devecchi, F.P., Kremer, G.M.: Europhys. Lett. 93, 19002 (2011)
Riess, et al.: Astrophys. J. 116, 1009–1038 (1998)
Saha, B.: Phys. Rev. D 64, 123501 (2001)
Saha, B.: Phys. Rev. D 69, 124006 (2004)
Saha, B.: Rom. Rep. Phys. 62(1), 209–216 (2010a)
Saha, B.: Cent. Eur. J. Phys. 8, 920–923 (2010b)
Saha, B.: Astrophys. Space Sci. 331, 243–255 (2011)
Saha, B., Visinescu, M.: (2010). arXiv:0906.0156
Samojeden, L.L., Kremer, G.M., Devecchi, F.P.: Europhys. Lett. 87, 10001 (2009)
Samojeden, L.L., Devecchi, F.P., Kremer, G.M.: Phys. Rev. D 81, 027301 (2010)
Shankaranarayanan, S.: Int. J. Mod. Phys. D. 18(14), 2173–2179 (2009)
Shankaranarayanan, S.: (2010). arXiv:1002.1128
Tsyba, P.Y., Kulnazarov, I.I., Yerzhanov, K.K., Myrzakulov, R.: International Journal of Theoretical Physics 50, 1876–1886 (2011a)
Tsyba, P., Yerzhanov, K., Esmakhanova, K., Kulnazarov, I., Nugmanova, G., Myrzakulov, R.: (2011b). arXiv:1103.5918
Vakili, B., Sepangi, H.R.: Annals Phys. 323, 548–565 (2008)
Vikman, A.: K-essence: cosmology, causality and emergent geometry. Ph.D. thesis, Munchen (2007)
Wald, R.M.: General Relativity. The University of Chicago Press, Chicago (1984)
Wang, J., Yang, S.-P.: (2009). arXiv:0901.1441
Wang, J., Cui, S.-W., Zhang, C.-M.: Phys. Lett. B 683, 101–107 (2010)
Wei, H.: Phys. Lett. B. 695, 307–311 (2011)
Weinberg, S.: The Quantum Theory of Fields. Cambridge University Press, New York (2007)
Woodard, R.P.: J. Phys. Conf. Ser. 86, 012032 (2007)
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Yerzhanov, K., Yesmakhanova, K., Tsyba, P. et al. g-Essence as the cosmic speed-up. Astrophys Space Sci 341, 681–688 (2012). https://doi.org/10.1007/s10509-012-1104-8
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10509-012-1104-8