Abstract
In this paper, the holographic dark energy model with new infrared cut-off proposed by Granda and Oliveros has been investigated in spatially non flat universe. The dependency of the evolution of equation of state, deceleration parameter and cosmological evolution of Hubble parameter on the parameters of new HDE model are calculated. Also, the statefinder parameters r and s in this model are derived and the evolutionary trajectories in s−r plane are plotted. We show that the evolutionary trajectories are dependent on the model parameters of new HDE model. Eventually, in the light of SNe + BAO + OHD + CMB observational data, we plot the evolutionary trajectories in s−r and q−r planes for best fit values of the parameters of new HDE model.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Abazajian, K., et al. [SDSS Collaboration]: Astron. J. 128, 502 (2004). astro-ph/0403325
Abazajian, K., et al. [SDSS Collaboration]: Astron. J. 129, 1755 (2005). astro-ph/0410239
Abramo, L.R.W., Finelli, F.: Phys. Lett. B 575, 165 (2003)
Alam, U., Sahni, V., Saini, T.D., Starobinsky, A.A.: Mon. Not. R. Astron. Soc. 344, 1057 (2003)
Alam, U., Sahni, V., Starobinsky, A.A.: J. Cosmol. Astropart. Phys. 06, 008 (2004)
Allen, S.W., Rapetti, D.A., Schmidt, R.W., Ebeling, H., Morris, R.G., Fabian, A.C.: Mon. Not. R. Astron. Soc. 383, 879 (2008)
Amendola, L.: Phys. Rev. D 62, 043511 (2000)
Anisimov, A., Babichev, E., Vikman, A.: J. Cosmol. Astropart. Phys. 06, 006 (2005)
Arkani-Hamed, N., Creminelli, P., Mukohyama, S., Zaldarriaga, M.: J. Cosmol. Astropart. Phys. 04, 001 (2004)
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)
Bennett, C.L., et al.: Astrophys. J. Suppl. 148, 1 (2003)
Benoit, A., et al.: Astron. Astrophys. 399, L25 (2003a)
Benoit, A., et al.: Astron. Astrophys. 399, L19 (2003b)
Bento, M.C., Bertolami, O., Sen, A.A.: Phys. Rev. D 66, 043507 (2002)
Bergshoeff, E.A., de Roo, M., de Wit, T.C., Eyras, E., Panda, S.: J. High Energy Phys. 05, 009 (2000)
Bousso, R.: Gen. Relativ. Gravit. 40, 607 (2008)
Cai, R.G.: Phys. Lett. B 657, 228 (2007)
Caldwell, R.R.: Phys. Lett. B 545, 23 (2002)
Caldwell, R.R., Kamionkowski, M.: J. Cosmol. Astropart. Phys. 0409, 009 (2004)
Carroll, S.M.: Living Rev. Relativ. 4, 1 (2001). astro-ph/0004075
Carroll, P., Peebles, J.E., Ratra, B.: Rev. Mod. Phys. 75, 559 (2003). astro-ph/0207347
Chang, Z., Wu, F.Q., Zhang, X.: Phys. Lett. B 633, 14 (2006)
Chang, B.R., Liu, H.Y., Xu, L.X., Zhang, C.W., Ping, Y.L.: J. Cosmol. Astropart. Phys. 0701, 016 (2007)
Chiba, T., Okabe, T., Yamaguchi, M.: Phys. Rev. D 62, 023511 (2000)
Cohen, A.G., Kaplan, D.B., Nelson, A.E.: Phys. Rev. Lett. 82, 4971 (1999)
Comelli, D., Pietroni, M., Riotto, A.: Phys. Lett. B 571, 115 (2003)
Copeland, E.J., Sami, M., Tsujikawa, S.: Int. J. Mod. Phys. D 15, 1753 (2006)
Daly, R.A., et al.: Astrophys. J. 677, 1 (2008)
Deffayet, C., Dvali, G.R., Gabadadze, G.: Phys. Rev. D 65, 044023 (2002)
Dunkley, J., et al.: Astrophys. J. Suppl. 180, 306 (2009)
Duruisseau, J.P., Kerner, R.: Class. Quantum Gravity 3, 817 (1986)
Eisenstein, D.J., et al.: Astrophys. J. 633, 560 (2005)
Elizalde, E., Nojiri, S., Odinstov, S.D.: Phys. Rev. D 70, 043539 (2004)
Elizalde, E., Nojiri, S., Odintsov, S.D., Wang, P.: Phys. Rev. D 71, 103504 (2005)
Enqvist, K., Sloth, M.S.: Phys. Rev. Lett. 93, 221302 (2004)
Enqvist, K., Hannestad, S., Sloth, M.S.: J. Cosmol. Astropart. Phys. 0502, 004 (2005)
Frieman, J.A., Turner, M.S., Huterer, D.: Ann. Rev. Astron. Astrophys. 46, 385 (2008)
Gasperini, M., Piazza, F., Veneziano, G.: Phys. Rev. D 65, 023508 (2002)
Granda, L.N., Oliveros, A.: Phys. Lett. B 669, 275 (2008)
Granda, L.N., Oliveros, A.: Phys. Lett. B 671, 202 (2009)
Hicken, M., et al.: Astrophys. J. 700, 1097 (2009)
Horava, P., Minic, D.: Phys. Rev. Lett. 85, 1610 (2000)
Hsu, S.D.H.: Phys. Lett. B 594, 13 (2004)
Hu, B., Ling, Y.: Phys. Rev. D 73, 123510 (2006)
Huang, Q.G., Gong, Y.G.: J. Cosmol. Astropart. Phys. 0408, 006 (2004)
Huang, Q.G., Li, M.: J. Cosmol. Astropart. Phys. 0408, 013 (2004)
Huang, Q.G., Li, M.: J. Cosmol. Astropart. Phys. 0503, 001 (2005)
Huterer, D., Cooray, A.: Phys. Rev. D 71, 023506 (2005)
Ito, M.: Europhys. Lett. 71, 712 (2005)
Jamil, M., Rashid, M.A.: Eur. Phys. J. C 58, 111 (2008)
Jamil, M., Rashid, M.A.: Eur. Phys. J. C 60, 141 (2009)
Kamenshchik, A., Moschella, U., Pasquier, V.: Phys. Lett. B 511, 265 (2001)
Kao, H.C., Lee, W.L., Lin, F.L.: Phys. Rev. D 71, 123518 (2005)
Karami, K., Fehri, J.: Phys. Lett. B 684, 61 (2010)
Kerner, R.: Gen. Relativ. Gravit. 14, 453 (1982)
Khodam-Mohammadi, A., Malekjani, M.: Astrophys. Space Sci. (2010). doi:10.1007/s10509-010-0422-y. gr-qc/1003.0543
Khodam-Mohammadi, A., Majari, P., Malekjani, M.: Astrophys. Space Sci. doi:10.1007/s10509-010-0480-1. arXiv:1007.2705 (2010)
Kim, H., Lee, H.W., Myung, Y.S.: Phys. Lett. B 632, 605 (2006)
Komatsu, E., et al.: Astrophys. J. Suppl. 180, 330 (2009)
Li, M.: Phys. Lett. B 603, 1 (2004)
Li, H., Guo, Z.K., Zhang, Y.Z.: Int. J. Mod. Phys. D 15, 869 (2006)
Ma, Y.Z.: Nucl. Phys. B 804, 262285 (2008)
Ma, Y.Z., Gong, Y.: Eur. Phys. J. C 60, 303 (2009)
Malekjani, M., Khodam-Mohammadi, A.: Int. J. Mod. Phys. D 19, 1 (2010). arXiv:1004.0508
Netterfield, C.B., et al.: Astrophys. J. 571, 604 (2002)
Nojiri, S., Odintsov, S.D.: Phys. Lett. B 562, 147 (2003a)
Nojiri, S., Odintsov, S.D.: Phys. Lett. B 565, 1 (2003b)
Nojiri, S., Odintsov, S.D.: Gen. Relativ. Gravit. 38, 1285 (2006)
Nojiri, S., Odintsov, S.D., Tsujikawa, S.: Phys. Rev. D 71, 063004 (2005)
Padmanabhan, T.: Phys. Rev. D 66, 021301 (2002)
Padmanabhan, T.: Phys. Rep. 380, 235 (2003). hep-th/0212290
Padmanabhan, T., Choudhury, T.R.: Phys. Rev. D 66, 081301 (2002)
Pavon, D., Zimdahl, W.: Phys. Lett. B 628, 206 (2005)
Percival, W.J., et al.: Mon. Not. R. Astron. Soc. 401, 2148 (2010)
Perlmutter, S., et al.: Nature 391, 51 (1998)
Piazza, F., Tsujikawa, S.: J. Cosmol. Astropart. Phys. 07, 004 (2004)
Ratra, B., Peebles, P.J.E.: J. Phys. Rev. D 37, 321 (1988)
Riess, A.G., et al.: Astron. J. 116, 1009 (1998)
Riess, A.G., et al.: Astron. J. 117, 707 (1999)
Sahni, V., Shtanov, Y.: J. Cosmol. Astropart. Phys. 11, 014 (2003)
Sahni, V., Starobinsky, A.A.: Int. J. Mod. Phys. D 9, 373 (2000). astro-ph/9904398
Sahni, V., Saini, T.D., Starobinsky, A.A., Alam, U.: J. Exp. Theor. Phys. Lett. 77, 201 (2003)
Saridakis, E.N.: Phys. Lett. B 660, 138 (2008a)
Saridakis, E.N.: J. Cosmol. Astropart. Phys. 0804, 020 (2008b)
Saridakis, E.N.: Phys. Lett. B 661, 335 (2008c)
Seljak, U., Slosar, A., McDonald, P.: J. Cosmol. Astropart. Phys. 10, 014 (2006)
Sen, A.: J. High Energy Phys. 10, 008 (1999)
Sen, A.: J. High Energy Phys. 04, 048 (2002a)
Sen, A.: J. High Energy Phys. 07, 065 (2002b)
Setare, M.R.: Phys. Lett. B 642, 1 (2006a)
Setare, M.R.: Phys. Lett. B 642, 421 (2006b)
Setare, M.R.: J. Cosmol. Astropart. Phys. 0701, 023 (2007a)
Setare, M.R.: Phys. Lett. B 644, 99 (2007b)
Setare, M.R.: Eur. Phys. J. C 50, 991 (2007c)
Setare, M.R.: Phys. Lett. B 648, 329 (2007d)
Setare, M.R.: Phys. Lett. B 653, 116 (2007e)
Setare, M.R.: Astrophys. Space Sci. 326, 27 (2010)
Setare, M.R., Saridakis, E.N.: Phys. Lett. B 670, 1 (2008)
Setare, M.R., Zhang, J., Zhang, X.: J. Cosmol. Astropart. Phys. 0703, 007 (2007)
Shao, Y., Gui, Y.: Mod. Phys. Lett. A 23, 65 (2008)
Shen, J., Wang, B., Abdalla, E., Su, R.K.: Phys. Lett. B 609, 200 (2005)
Sievers, J.L., et al.: Astrophys. J. 591, 599 (2003)
Simon, J., Verde, L., Jimenez, R.: Phys. Rev. D 71, 123001 (2005)
Spergel, D.N., et al. [WMAP Collaboration]: Astrophys. J. Suppl. 148, 175 (2003). astro-ph/0302209
Spergel, D.N., et al.: Astrophys. J. Suppl. 170, 377 (2007)
Starobinsky, A.A.: Phys. Lett. B 91, 99 (1980)
Susskind, L.: J. Math. Phys. 36, 6377 (1995)
’t Hooft, G.: gr-qc/9310026 (2009)
Tegmark, M., et al. [SDSS Collaboration]: Phys. Rev. D 69, 103501 (2004). astro-ph/0310723
Thomas, S.D.: Phys. Rev. Lett. 89, 081301 (2002)
Wang, Y., Tegmark, M.: Phys. Rev. D 71, 103513 (2005)
Wang, Y., Xu, L.: Phys. Rev. D 81, 083523 (2010)
Wang, B., Gong, Y., Abdalla, E.: Phys. Lett. B 624, 141 (2005)
Wang, B., Gong, Y.G., Su, R.K.: Phys. Lett. B 605, 9 (2005)
Wang, B., Gong, Y., Abdalla, E.: Phys. Rev. D 74, 083520 (2006)
Wei, H., Cai, R.G.: Phys. Lett. B 655, 1 (2007)
Wei, H., Cai, R.G.: Phys. Lett. B 660, 113 (2008)
Wei, H., Zhang, S.N.: Phys. Rev. D 76, 063003 (2007)
Weinberg, S.: Rev. Mod. Phys. 61, 1 (1989)
Wetterich, C.: Nucl. Phys. B 302, 668 (1988)
Wu, Q., Gong, Y., Wang, A., Alcaniz, J.S.: Phys. Lett. B 659, 34 (2008)
Zhang, X.: Int. J. Mod. Phys. D 14, 1597 (2005)
Zhang, X.: Phys. Lett. B 611, 1 (2005)
Zhang, X., Wu, F.Q.: Phys. Rev. D 72, 043524 (2005)
Zhang, J., Zhang, X., Liu, H.: Phys. Lett. B 659, 26 (2008)
Zhang, L., Cui, J., Zhang, J., Zhang, X.: Int. J. Mod. Phys. D 19, 21 (2010)
Zimdahl, W., Pavon, D.: Gen. Relativ. Gravit. 36, 1483 (2004)
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Malekjani, M., Khodam-Mohammadi, A. & Nazari-pooya, N. Cosmological evolution and statefinder diagnostic for new holographic dark energy model in non flat universe. Astrophys Space Sci 332, 515–524 (2011). https://doi.org/10.1007/s10509-010-0550-4
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10509-010-0550-4