Abstract
Motivated by the holographic principle, it has been suggested that the dark energy density may be inversely proportional to the area A of the event horizon of the universe. However, such a model would have a causality problem. In this work, we consider the entropy-corrected version of the holographic dark energy model in the non-flat FRW universe and we propose to replace the future event horizon area with the inverse of the Ricci scalar curvature. We obtain the equation of state (EoS) parameter ω Λ, the deceleration parameter q and \(\Omega_{D}'\) in the presence of interaction between Dark Energy (DE) and Dark Matter (DM). Moreover, we reconstruct the potential and the dynamics of the tachyon, K-essence, dilaton and quintessence scalar field models according to the evolutionary behavior of the interacting entropy-corrected holographic dark energy model.
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Abazajian, K., et al.: Astron. J. 128, 502 (2004)
Abazajian, K., et al.: Astron. J. 129, 1755 (2005)
Allen, S.W., et al.: Mon. Not. R. Astron. Soc. 353, 457 (2004)
Amendola, L., Tocchini-Valetini, D.: Phys. Rev. D 64, 043509 (2001)
Amendola, L., Tocchini-Valetini, D.: Phys. Rev. D 66, 043528 (2002)
Amendola, L., Campos, G.C., Rosenfeld, R.: Phys. Rev. D 75, 083506 (2007)
Anisimov, A.: J. Cosmol. Astropart. Phys. 6, 6 (2005)
Arkani-Hamed, N., Creminelli, P., Mukohyama, S., Zaldarriaga, M.: J. Cosmol. Astropart. Phys. 4, 1 (2004)
Armendariz-Picon, C., Mukhanov, V., Steinhardt, P.J.: Phys. Rev. Lett. 85, 4438 (2000)
Armendariz-Picon, C., Mukhanov, V., Steinhardt, P.J.: Phys. Rev. D 63, 103510 (2001)
Astier, P., et al.: Astron. Astrophys. 447, 31 (2006)
Bagla, J.S., Jassal, H.K., Padmanabhan, T.: Phys. Rev. D 67, 063504 (2003)
Banerjee, R., Majhi, B.R.: Phys. Lett. B 662, 62 (2008)
Banerjee, R., Modak, S.K.: J. High Energy Phys. 5, 63 (2009)
Banerjee, R., Ranjan Majhi, B.: J. High Energy Phys. 6, 95 (2008)
Bennett, C.L., et al.: Astrophys. J. 148, 1 (2003)
Benoît, A., et al.: Astron. Astrophys. 399, L19 (2003a)
Benoît, A., et al.: Astron. Astrophys. 399, L25 (2003b)
Bento, M.C., Bertolami, O., Sen, A.A.: Phys. Rev. D 66, 043507 (2002)
Bergshoeff, E.A., et al.: J. High Energy Phys. 5, 9 (2000)
Bertolami, O., Gil Pedro, F., Le Delliou, M.: Phys. Lett. B 654, 165 (2007)
Cai, R.-G.: Phys. Lett. B 657, 228 (2007)
Cai, R.-G., Cao, L.-M., Hu, Y.-P.: Class. Quantum Gravity 26, 15 (2009)
Calcagni, G., Liddle, A.R.: Phys. Rev. D 74, 043528 (2006)
Caldwell, R.R.: Phys. Lett. B 545, 23 (2002)
Caldwell, R.R., Kamionkowski, M.: J. Cosmol. Astropart. Phys. 9, 9 (2004)
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)
Copeland, E.J., et al.: Phys. Rev. D 71, 043003 (2005)
Copeland, E.J., Sami, M., Tsujikawa, S.: Int. J. Mod. Phys. D 15, 1753 (2006)
Deffayet, C., Dvali, G., Gabadadze, G.: Phys. Rev. D 65, 044023 (2002)
Easson, D.A., Frampton, P.H., Smoot, G.F.: arXiv:1003.1528 [hep-th] (2010)
Elizalde, E., Nojiri, S., Odintsov, S.D.: Phys. Rev. D 70, 043539 (2004)
Elizalde, E., Nojiri, S., Odintsov, S.D., Wang, P.: Phys. Rev. D 71, 103504 (2005)
Elizalde, E., et al.: Eur. Phys. J. C Part. Fields 53, 447 (2008)
Enqvist, K., Hannestad, S., Sloth, M.S.: J. Cosmol. Astropart. Phys. 2, 4 (2005)
Farooq, M.U., Jamil, M., Rashid, M.A.: Int. J. Theor. Phys. 49, 2278 (2010a)
Farooq, M.U., Jamil, M., Rashid, M.A.: Int. J. Theor. Phys. 49, 2334 (2010b)
Feng, B., Wang, X., Zhang, X.: Phys. Lett. B 607, 35 (2005)
Feng, C., Wang, B., Gong, Y., Su, R.-K.: J. Cosmol. Astropart. Phys. 9, 5 (2007)
Fischler, W., Susskind, L.: (arXiv:hep-th/9806039) (1998)
Gasperini, M., Piazza, F., Veneziano, G.: Phys. Rev. D 65, 023508 (2002)
Gong, Y.: Phys. Rev. D 70, 064029 (2004)
Granda, L.N., Oliveros, A.: Phys. Lett. B 669, 275 (2008)
Guberina, B., Horvat, R., Stefancic, H.: J. Cosmol. Astropart. Phys. 5, 1 (2005)
Guberina, B., Horvat, R., Nikolić, H.: Phys. Lett. B 636, 80 (2006)
Hořava, P., Minic, D.: Phys. Rev. Lett. 85, 1610 (2000)
Hsu, S.D.H.: Phys. Lett. B 594, 13 (2004)
Huang, Q.G., Li, M.: J. Cosmol. Astropart. Phys. 8, 13 (2004)
Huang, Q.G., Li, M.: J. Cosmol. Astropart. Phys. 3, 1 (2005)
Ichiki, K., Keum, Y.Y.: J. Cosmol. Astropart. Phys. 6, 5 (2008)
Jamil, M., Farooq, M.U.: Int. J. Theor. Phys. 49, 42 (2010a)
Jamil, M., Farooq, M.U.: J. Cosmol. Astropart. Phys. 3, 2 (2010b)
Jamil, M., Rashid, M.A.: Eur. Phys. J. C 58, 111 (2008a)
Jamil, M., Rashid, M.A.: Astrophys. J. 56, 429 (2008b)
Jamil, M., Saridakis, E.N.: J. Cosmol. Astropart. Phys. 7, 28 (2010)
Jamil, M., Sheykhi, A.: Int. J. Theor. Phys. 50, 625 (2011)
Jamil, M., Saridakis, E.N., Setare, M.R.: Phys. Lett. B 679, 172 (2009a)
Jamil, M., Farooq, M.U., Rashid, M.A.: Eur. Phys. J. C 61, 471 (2009b)
Jamil, M., Sheykhi, A., Farooq, M.U.: Int. J. Mod. Phys. D 19, 1831 (2010)
Jamil, M., et al.: Int. J. Theor. Phys. 579 (2011)
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., Khaledian, M.S., Felegary, F., Zarmi, Z.: Phys. Lett. B 686, 216 (2010)
Karami, K., Khaledian, M.S., Jamil, M.: Phys. Scr. 83, 025901 (2011)
Khodam-Mohammadi, A.: Mod. Phys. Lett. A 26, 2487 (2011)
Khodam-Mohammadi, A., Malekjani, M.: Commun. Theor. Phys. 55, 942 (2011a)
Khodam-Mohammadi, A., Malekjani, M.: arXiv:1101.1632 [gr-qc] (2011b)
Klusoň, J.: Phys. Rev. D 62, 126003 (2000)
Kutasov, D., Niarchos, V.: Nucl. Phys. B 666, 56 (2003)
Lambert, N.D., Sachs, I.: Phys. Rev. D 67, 025005 (2003)
Li, M.: Astrophys. J. 603, 1 (2004)
Li, M., Li, X.-D., Wang, S., Wang, Y.: Commun. Theor. Phys. 56, 525 (2011)
Majhi, B.R.: Phys. Rev. D 79, 044005 (2009)
Micheletti, S.M.R.: J. Cosmol. Astropart. Phys. 4, 9 (2010)
Mohseni Sadjadi, H., Jamil, M.: Europhys. Lett. 926, 69001 (2010)
Netterfield, C.B., et al.: Astrophys. J. 571, 604 (2002)
Nojiri, S., Odintsov, S.D.: Int. J. Mod. Phys. A 16, 3273 (2001)
Nojiri, S., Odintsov, S.D.: Astrophys. J. 565, 1 (2003a)
Nojiri, S., Odintsov, S.D.: Phys. Lett. B 562, 147 (2003b)
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)
Padmanabhan, T., Choudhury, T.R.: Phys. Rev. D 66, 081301 (2002)
Peebles, P.J., Ratra, B.: Rev. Mod. Phys. 75, 559 (2003)
Peiris, H.V., et al.: Astrophys. J. Suppl. Ser. 148, 213 (2003)
Perlmutter, S., et al.: Astrophys. J. 517, 565 (1999)
Piazza, F., Tsujikawa, S.: J. Cosmol. Astropart. Phys. 7, 4 (2004)
Ratra, B., Peebles, P.J.E.: Phys. Rev. D 37, 3406 (1988)
Sadjadi, H.M., Jamil, M.: Gen. Relativ. Gravit. 43, 1759 (2011)
Sahni, V., Shtanov, Y.: J. Cosmol. Astropart. Phys. 11, 14 (2003)
Seljak, U., Slosar, A., McDonald, P.: J. Cosmol. Astropart. Phys. 10, 14 (2006)
Sen, A.: J. High Energy Phys. 10, 8 (1999)
Sen, A.: J. High Energy Phys. 7, 65 (2002a)
Sen, A.: J. High Energy Phys. 4, 48 (2002b)
Sen, A.: Mod. Phys. Lett. A 17, 1797 (2002c)
Setare, M.R.: Phys. Lett. B 642, 421 (2006)
Setare, M.R.: Eur. Phys. J. C 52, 689 (2007a)
Setare, M.R.: Phys. Lett. B 653, 116 (2007b)
Setare, M.R.: Phys. Lett. B 648, 329 (2007c)
Setare, M.R.: Phys. Lett. B 644, 99 (2007d)
Setare, M.R.: Eur. Phys. J. C 50, 991 (2007e)
Setare, M.: Phys. Lett. B 654, 1 (2007f)
Setare, M.R., Jamil, M.: Phys. Lett. B 690, 1 (2010a)
Setare, M.R., Jamil, M.: J. Cosmol. Astropart. Phys. 2, 10 (2010b)
Setare, M.R., Jamil, M.: Europhys. Lett. 92, 49003 (2010c)
Setare, M.R., Jamil, M.: Gen. Relativ. Gravit. 43, 293 (2011)
Setare, M.R., Shafei, S.: J. Cosmol. Astropart. Phys. 9, 11 (2006)
Setare, M.R., Vagenas, E.C.: Phys. Lett. B 666, 111 (2008)
Shao, Y., Gui, Y.-X., Wang, W.: Mod. Phys. Lett. A 22, 1175 (2007)
Shen, J., Wang, B., Abdalla, E., Su, R.-K.: Phys. Lett. B 609, 200 (2005)
Sheykhi, A.: Phys. Lett. B 681, 205 (2009)
Sheykhi, A.: Astrophys. J. 27, 025007 (2010)
Sheykhi, A., Jamil, M.: Gen. Relativ. Gravit. 43, 2661 (2011a)
Sheykhi, A., Jamil, M.: Phys. Lett. B 694, 284 (2011b)
Sheykhi, A., et al.: arXiv:1005.4541 [gen-ph] (2010)
Sievers, J.L., et al.: Astrophys. J. 591, 599 (2003)
Spergel, D.N., et al.: Astrophys. J. Suppl. Ser. 148, 175 (2003)
Spergel, D.N., et al.: Astrophys. J. Suppl. Ser. 170, 377 (2007)
Tegmark, M., et al.: Phys. Rev. D 69, 103501 (2004)
’t Hooft, G.: arXiv:gr-qc/9310026 [gr-qc] (1993)
Wang, Y., Xu, L.: Phys. Rev. D 81, 083523 (2010)
Wang, B., Gong, Y., Su, R.-K.: Phys. Lett. B 605, 9 (2005a)
Wang, B., Gong, Y., Abdalla, E.: Astrophys. J. 624, 141 (2005b)
Wei, H.: Commun. Theor. Phys. 52, 743 (2009)
Wei, H., Cai, R.G.: Phys. Lett. B 660, 113 (2008)
Wei, S.W., Liu, Y.X., Wang, Y.Q., Guo, H.: arXiv:1002.1550 [hep-th] (2010)
Weinberg, S.: Rev. Mod. Phys. 61, 1 (1989)
Wetterich, C.: Nucl. Phys. B 302, 668 (1988)
Zhang, X.: Phys. Rev. D 74, 103505 (2006)
Zhang, X.: Phys. Rev. D 79, 103509 (2009)
Zhang, X., Wu, F.Q.: Phys. Rev. D 72, 043524 (2005)
Zhang, X., Wu, F.Q.: Phys. Rev. D 76, 023502 (2007)
Zhang, H., Zhu, Z.H.: Phys. Rev. D 73, 043518 (2006)
Zimdahl, W., Pavón, D., Chimento, L.P.: Phys. Lett. B 521, 133 (2001)
Zimdahl, W., Pavón, D.: Gen. Relativ. Gravit. 35, 413 (2003)
Zhu, T., Ren, J.R.: Eur. Phys. J. C 62, 413 (2009)
Amani, A.R., Sadeghi, J., Farajollahi, H., Pourali, M.: Can. J. Phys. 90, 61 (2012)
Acknowledgements
We are grateful to the referee for valuable comments and suggestions, which have allowed us to improve this paper significantly. Also M. Jamil would like to thank the warm hospitality of the Abdus Salam ICTP, Trieste where this work was initiated.
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Pasqua, A., Khodam-Mohammadi, A., Jamil, M. et al. Interacting Ricci dark energy with logarithmic correction. Astrophys Space Sci 340, 199–208 (2012). https://doi.org/10.1007/s10509-012-1031-8
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DOI: https://doi.org/10.1007/s10509-012-1031-8