×

Interacting Ricci dark energy with logarithmic correction. (English) Zbl 1284.83193

Summary: 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 \(\omega_\Lambda\), the deceleration parameter \(q\) and \(\Omega_D^\prime\) 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.

MSC:

83F05 Relativistic cosmology

References:

[1] Abazajian, K., et al.: Astron. J. 128, 502 (2004) · doi:10.1086/421365
[2] Abazajian, K., et al.: Astron. J. 129, 1755 (2005) · doi:10.1086/427544
[3] Allen, S.W., et al.: Mon. Not. R. Astron. Soc. 353, 457 (2004) · doi:10.1111/j.1365-2966.2004.08080.x
[4] Amendola, L., Tocchini-Valetini, D.: Phys. Rev. D 64, 043509 (2001) · doi:10.1103/PhysRevD.64.043509
[5] Amendola, L., Tocchini-Valetini, D.: Phys. Rev. D 66, 043528 (2002) · doi:10.1103/PhysRevD.66.043528
[6] Amendola, L., Campos, G.C., Rosenfeld, R.: Phys. Rev. D 75, 083506 (2007)
[7] Anisimov, A.: J. Cosmol. Astropart. Phys. 6, 6 (2005)
[8] Arkani-Hamed, N., Creminelli, P., Mukohyama, S., Zaldarriaga, M.: J. Cosmol. Astropart. Phys. 4, 1 (2004) · doi:10.1088/1475-7516/2004/04/001
[9] Armendariz-Picon, C., Mukhanov, V., Steinhardt, P.J.: Phys. Rev. Lett. 85, 4438 (2000) · doi:10.1103/PhysRevLett.85.4438
[10] Armendariz-Picon, C., Mukhanov, V., Steinhardt, P.J.: Phys. Rev. D 63, 103510 (2001) · doi:10.1103/PhysRevD.63.103510
[11] Astier, P., et al.: Astron. Astrophys. 447, 31 (2006) · doi:10.1051/0004-6361:20054185
[12] Bagla, J.S., Jassal, H.K., Padmanabhan, T.: Phys. Rev. D 67, 063504 (2003) · doi:10.1103/PhysRevD.67.063504
[13] Banerjee, R., Majhi, B.R.: Phys. Lett. B 662, 62 (2008) · Zbl 1282.83025 · doi:10.1016/j.physletb.2008.02.044
[14] Banerjee, R., Modak, S.K.: J. High Energy Phys. 5, 63 (2009) · doi:10.1016/j.hedp.2009.02.005
[15] Banerjee, R., Ranjan Majhi, B.: J. High Energy Phys. 6, 95 (2008)
[16] Bennett, C.L., et al.: Astrophys. J. 148, 1 (2003) · doi:10.1086/377253
[17] Benoît, A., et al.: Astron. Astrophys. 399, L19 (2003a) · doi:10.1051/0004-6361:20021850
[18] Benoît, A., et al.: Astron. Astrophys. 399, L25 (2003b) · doi:10.1051/0004-6361:20021722
[19] Bento, M.C., Bertolami, O., Sen, A.A.: Phys. Rev. D 66, 043507 (2002) · doi:10.1103/PhysRevD.66.043507
[20] Bergshoeff, E.A., et al.: J. High Energy Phys. 5, 9 (2000)
[21] Bertolami, O., Gil Pedro, F., Le Delliou, M.: Phys. Lett. B 654, 165 (2007) · doi:10.1016/j.physletb.2007.08.046
[22] Cai, R.-G.: Phys. Lett. B 657, 228 (2007) · Zbl 1246.83248 · doi:10.1016/j.physletb.2007.09.061
[23] Cai, R.-G., Cao, L.-M., Hu, Y.-P.: Class. Quantum Gravity 26, 15 (2009) · Zbl 1172.83347 · doi:10.1088/0264-9381/26/15/155018
[24] Calcagni, G., Liddle, A.R.: Phys. Rev. D 74, 043528 (2006) · doi:10.1103/PhysRevD.74.043528
[25] Caldwell, R.R.: Phys. Lett. B 545, 23 (2002) · doi:10.1016/S0370-2693(02)02589-3
[26] Caldwell, R.R., Kamionkowski, M.: J. Cosmol. Astropart. Phys. 9, 9 (2004)
[27] Chiba, T., Okabe, T., Yamaguchi, M.: Phys. Rev. D 62, 023511 (2000)
[28] Cohen, A.G., Kaplan, D.B., Nelson, A.E.: Phys. Rev. Lett. 82, 4971 (1999) · Zbl 0949.83045 · doi:10.1103/PhysRevLett.82.4971
[29] Copeland, E.J., et al.: Phys. Rev. D 71, 043003 (2005)
[30] Copeland, E.J., Sami, M., Tsujikawa, S.: Int. J. Mod. Phys. D 15, 1753 (2006) · Zbl 1203.83061 · doi:10.1142/S021827180600942X
[31] Deffayet, C., Dvali, G., Gabadadze, G.: Phys. Rev. D 65, 044023 (2002)
[32] Easson, D.A., Frampton, P.H., Smoot, G.F.: arXiv:1003.1528 [hep-th] (2010)
[33] Elizalde, E., Nojiri, S., Odintsov, S.D.: Phys. Rev. D 70, 043539 (2004)
[34] Elizalde, E., Nojiri, S., Odintsov, S.D., Wang, P.: Phys. Rev. D 71, 103504 (2005) · doi:10.1103/PhysRevD.71.103504
[35] Elizalde, E., et al.: Eur. Phys. J. C Part. Fields 53, 447 (2008) · doi:10.1140/epjc/s10052-007-0463-8
[36] Enqvist, K., Hannestad, S., Sloth, M.S.: J. Cosmol. Astropart. Phys. 2, 4 (2005)
[37] Farooq, M.U., Jamil, M., Rashid, M.A.: Int. J. Theor. Phys. 49, 2278 (2010a) · Zbl 1200.83137 · doi:10.1007/s10773-010-0415-1
[38] Farooq, M.U., Jamil, M., Rashid, M.A.: Int. J. Theor. Phys. 49, 2334 (2010b) · Zbl 1201.83048 · doi:10.1007/s10773-010-0420-4
[39] Feng, B., Wang, X., Zhang, X.: Phys. Lett. B 607, 35 (2005) · doi:10.1016/j.physletb.2004.12.071
[40] Feng, C., Wang, B., Gong, Y., Su, R.-K.: J. Cosmol. Astropart. Phys. 9, 5 (2007)
[41] Fischler, W., Susskind, L.: ( arXiv:hep-th/9806039 ) (1998)
[42] Gasperini, M., Piazza, F., Veneziano, G.: Phys. Rev. D 65, 023508 (2002)
[43] Gong, Y.: Phys. Rev. D 70, 064029 (2004) · doi:10.1103/PhysRevD.70.064029
[44] Granda, L.N., Oliveros, A.: Phys. Lett. B 669, 275 (2008) · doi:10.1016/j.physletb.2008.10.017
[45] Guberina, B., Horvat, R., Stefancic, H.: J. Cosmol. Astropart. Phys. 5, 1 (2005) · doi:10.1088/1475-7516/2005/05/001
[46] Guberina, B., Horvat, R., Nikolić, H.: Phys. Lett. B 636, 80 (2006) · doi:10.1016/j.physletb.2006.03.041
[47] Hořava, P., Minic, D.: Phys. Rev. Lett. 85, 1610 (2000) · Zbl 1369.83106 · doi:10.1103/PhysRevLett.85.1610
[48] Hsu, S.D.H.: Phys. Lett. B 594, 13 (2004) · doi:10.1016/j.physletb.2004.05.020
[49] Huang, Q.G., Li, M.: J. Cosmol. Astropart. Phys. 8, 13 (2004)
[50] Huang, Q.G., Li, M.: J. Cosmol. Astropart. Phys. 3, 1 (2005) · doi:10.1088/1475-7516/2005/03/001
[51] Ichiki, K., Keum, Y.Y.: J. Cosmol. Astropart. Phys. 6, 5 (2008)
[52] Jamil, M., Farooq, M.U.: Int. J. Theor. Phys. 49, 42 (2010a) · Zbl 1186.83123 · doi:10.1007/s10773-009-0176-x
[53] Jamil, M., Farooq, M.U.: J. Cosmol. Astropart. Phys. 3, 2 (2010b) · doi:10.1088/1475-7516/2010/03/001
[54] Jamil, M., Rashid, M.A.: Eur. Phys. J. C 58, 111 (2008a) · doi:10.1140/epjc/s10052-008-0722-3
[55] Jamil, M., Rashid, M.A.: Astrophys. J. 56, 429 (2008b)
[56] Jamil, M., Saridakis, E.N.: J. Cosmol. Astropart. Phys. 7, 28 (2010) · doi:10.1088/1475-7516/2010/03/001
[57] Jamil, M., Sheykhi, A.: Int. J. Theor. Phys. 50, 625 (2011) · Zbl 1213.83150 · doi:10.1007/s10773-010-0585-x
[58] Jamil, M., Saridakis, E.N., Setare, M.R.: Phys. Lett. B 679, 172 (2009a) · doi:10.1016/j.physletb.2009.07.048
[59] Jamil, M., Farooq, M.U., Rashid, M.A.: Eur. Phys. J. C 61, 471 (2009b) · doi:10.1140/epjc/s10052-009-1021-3
[60] Jamil, M., Sheykhi, A., Farooq, M.U.: Int. J. Mod. Phys. D 19, 1831 (2010) · Zbl 1204.83101 · doi:10.1142/S0218271810018116
[61] Jamil, M., et al.: Int. J. Theor. Phys. 579 (2011)
[62] Kamenshchik, A., Moschella, U., Pasquier, V.: Phys. Lett. B 511, 265 (2001) · Zbl 0969.83556 · doi:10.1016/S0370-2693(01)00571-8
[63] Kao, H.C., Lee, W.L., Lin, F.L.: Phys. Rev. D 71, 123518 (2005) · doi:10.1103/PhysRevD.71.123518
[64] Karami, K., Khaledian, M.S., Felegary, F., Zarmi, Z.: Phys. Lett. B 686, 216 (2010) · doi:10.1016/j.physletb.2010.02.075
[65] Karami, K., Khaledian, M.S., Jamil, M.: Phys. Scr. 83, 025901 (2011) · Zbl 1221.83044 · doi:10.1088/0031-8949/83/02/025901
[66] Khodam-Mohammadi, A.: Mod. Phys. Lett. A 26, 2487 (2011) · Zbl 1274.83159 · doi:10.1142/S0217732311036826
[67] Khodam-Mohammadi, A., Malekjani, M.: Commun. Theor. Phys. 55, 942 (2011a) · Zbl 1264.83049 · doi:10.1088/0253-6102/55/5/37
[68] Khodam-Mohammadi, A., Malekjani, M.: arXiv:1101.1632 [gr-qc] (2011b)
[69] Klusoň, J.: Phys. Rev. D 62, 126003 (2000)
[70] Kutasov, D., Niarchos, V.: Nucl. Phys. B 666, 56 (2003) · Zbl 1057.81547 · doi:10.1016/S0550-3213(03)00498-X
[71] Lambert, N.D., Sachs, I.: Phys. Rev. D 67, 025005 (2003)
[72] Li, M.: Astrophys. J. 603, 1 (2004) · doi:10.1086/381386
[73] Li, M., Li, X.-D., Wang, S., Wang, Y.: Commun. Theor. Phys. 56, 525 (2011) · Zbl 1247.83282 · doi:10.1088/0253-6102/56/3/24
[74] Majhi, B.R.: Phys. Rev. D 79, 044005 (2009) · doi:10.1103/PhysRevD.79.044005
[75] Micheletti, S.M.R.: J. Cosmol. Astropart. Phys. 4, 9 (2010)
[76] Mohseni Sadjadi, H., Jamil, M.: Europhys. Lett. 926, 69001 (2010) · doi:10.1209/0295-5075/92/69001
[77] Netterfield, C.B., et al.: Astrophys. J. 571, 604 (2002) · doi:10.1086/340118
[78] Nojiri, S., Odintsov, S.D.: Int. J. Mod. Phys. A 16, 3273 (2001) · Zbl 1011.81064 · doi:10.1142/S0217751X01004128
[79] Nojiri, S., Odintsov, S.D.: Astrophys. J. 565, 1 (2003a)
[80] Nojiri, S., Odintsov, S.D.: Phys. Lett. B 562, 147 (2003b) · Zbl 1027.83543 · doi:10.1016/S0370-2693(03)00594-X
[81] Nojiri, S., Odintsov, S.D., Tsujikawa, S.: Phys. Rev. D 71, 063004 (2005)
[82] Padmanabhan, T.: Phys. Rev. D 66, 021301 (2002)
[83] Padmanabhan, T.: Phys. Rep. 380, 235 (2003) · Zbl 1027.83544 · doi:10.1016/S0370-1573(03)00120-0
[84] Padmanabhan, T., Choudhury, T.R.: Phys. Rev. D 66, 081301 (2002)
[85] Peebles, P.J., Ratra, B.: Rev. Mod. Phys. 75, 559 (2003) · Zbl 1205.83082 · doi:10.1103/RevModPhys.75.559
[86] Peiris, H.V., et al.: Astrophys. J. Suppl. Ser. 148, 213 (2003) · doi:10.1086/377228
[87] Perlmutter, S., et al.: Astrophys. J. 517, 565 (1999) · Zbl 1368.85002 · doi:10.1086/307221
[88] Piazza, F., Tsujikawa, S.: J. Cosmol. Astropart. Phys. 7, 4 (2004)
[89] Ratra, B., Peebles, P.J.E.: Phys. Rev. D 37, 3406 (1988) · doi:10.1103/PhysRevD.37.3406
[90] Sadjadi, H.M., Jamil, M.: Gen. Relativ. Gravit. 43, 1759 (2011) · Zbl 1217.83061 · doi:10.1007/s10714-011-1155-0
[91] Sahni, V., Shtanov, Y.: J. Cosmol. Astropart. Phys. 11, 14 (2003)
[92] Seljak, U., Slosar, A., McDonald, P.: J. Cosmol. Astropart. Phys. 10, 14 (2006)
[93] Sen, A.: J. High Energy Phys. 10, 8 (1999)
[94] Sen, A.: J. High Energy Phys. 7, 65 (2002a)
[95] Sen, A.: J. High Energy Phys. 4, 48 (2002b)
[96] Sen, A.: Mod. Phys. Lett. A 17, 1797 (2002c) · Zbl 1083.81578 · doi:10.1142/S0217732302008071
[97] Setare, M.R.: Phys. Lett. B 642, 421 (2006) · Zbl 1248.83177 · doi:10.1016/j.physletb.2006.10.014
[98] Setare, M.R.: Eur. Phys. J. C 52, 689 (2007a) · doi:10.1140/epjc/s10052-007-0405-5
[99] Setare, M.R.: Phys. Lett. B 653, 116 (2007b) · Zbl 1246.83273 · doi:10.1016/j.physletb.2007.08.011
[100] Setare, M.R.: Phys. Lett. B 648, 329 (2007c) · Zbl 1248.83179 · doi:10.1016/j.physletb.2007.03.025
[101] Setare, M.R.: Phys. Lett. B 644, 99 (2007d) · Zbl 1248.83178 · doi:10.1016/j.physletb.2006.11.033
[102] Setare, M.R.: Eur. Phys. J. C 50, 991 (2007e) · doi:10.1140/epjc/s10052-007-0262-2
[103] Setare, M.: Phys. Lett. B 654, 1 (2007f) · doi:10.1016/j.physletb.2007.08.038
[104] Setare, M.R., Jamil, M.: Phys. Lett. B 690, 1 (2010a) · doi:10.1016/j.physletb.2010.05.002
[105] Setare, M.R., Jamil, M.: J. Cosmol. Astropart. Phys. 2, 10 (2010b)
[106] Setare, M.R., Jamil, M.: Europhys. Lett. 92, 49003 (2010c) · doi:10.1209/0295-5075/92/49003
[107] Setare, M.R., Jamil, M.: Gen. Relativ. Gravit. 43, 293 (2011) · Zbl 1211.83026 · doi:10.1007/s10714-010-1087-0
[108] Setare, M.R., Shafei, S.: J. Cosmol. Astropart. Phys. 9, 11 (2006)
[109] Setare, M.R., Vagenas, E.C.: Phys. Lett. B 666, 111 (2008) · Zbl 1328.83216 · doi:10.1016/j.physletb.2008.07.013
[110] Shao, Y., Gui, Y.-X., Wang, W.: Mod. Phys. Lett. A 22, 1175 (2007) · Zbl 1117.85015 · doi:10.1142/S0217732307021809
[111] Shen, J., Wang, B., Abdalla, E., Su, R.-K.: Phys. Lett. B 609, 200 (2005) · doi:10.1016/j.physletb.2005.01.051
[112] Sheykhi, A.: Phys. Lett. B 681, 205 (2009) · doi:10.1016/j.physletb.2009.10.011
[113] Sheykhi, A.: Astrophys. J. 27, 025007 (2010)
[114] Sheykhi, A., Jamil, M.: Gen. Relativ. Gravit. 43, 2661 (2011a) · Zbl 1228.83148 · doi:10.1007/s10714-011-1190-x
[115] Sheykhi, A., Jamil, M.: Phys. Lett. B 694, 284 (2011b) · doi:10.1016/j.physletb.2010.10.019
[116] Sheykhi, A., et al.: arXiv:1005.4541 [gen-ph] (2010)
[117] Sievers, J.L., et al.: Astrophys. J. 591, 599 (2003) · doi:10.1086/375510
[118] Spergel, D.N., et al.: Astrophys. J. Suppl. Ser. 148, 175 (2003) · doi:10.1086/377226
[119] Spergel, D.N., et al.: Astrophys. J. Suppl. Ser. 170, 377 (2007) · doi:10.1086/513700
[120] Tegmark, M., et al.: Phys. Rev. D 69, 103501 (2004) · doi:10.1103/PhysRevD.69.103501
[121] ’t Hooft, G.: arXiv:gr-qc/9310026 [gr-qc] (1993)
[122] Wang, Y., Xu, L.: Phys. Rev. D 81, 083523 (2010)
[123] Wang, B., Gong, Y., Su, R.-K.: Phys. Lett. B 605, 9 (2005a) · doi:10.1016/j.physletb.2004.11.027
[124] Wang, B., Gong, Y., Abdalla, E.: Astrophys. J. 624, 141 (2005b) · doi:10.1086/428892
[125] Wei, H.: Commun. Theor. Phys. 52, 743 (2009) · Zbl 1187.82023 · doi:10.1088/0253-6102/52/5/40
[126] Wei, H., Cai, R.G.: Phys. Lett. B 660, 113 (2008) · doi:10.1016/j.physletb.2007.12.030
[127] Wei, S.W., Liu, Y.X., Wang, Y.Q., Guo, H.: arXiv:1002.1550 [hep-th] (2010)
[128] Weinberg, S.: Rev. Mod. Phys. 61, 1 (1989) · Zbl 1129.83361 · doi:10.1103/RevModPhys.61.1
[129] Wetterich, C.: Nucl. Phys. B 302, 668 (1988) · doi:10.1016/0550-3213(88)90193-9
[130] Zhang, X.: Phys. Rev. D 74, 103505 (2006)
[131] Zhang, X.: Phys. Rev. D 79, 103509 (2009)
[132] Zhang, X., Wu, F.Q.: Phys. Rev. D 72, 043524 (2005)
[133] Zhang, X., Wu, F.Q.: Phys. Rev. D 76, 023502 (2007)
[134] Zhang, H., Zhu, Z.H.: Phys. Rev. D 73, 043518 (2006)
[135] Zimdahl, W., Pavón, D., Chimento, L.P.: Phys. Lett. B 521, 133 (2001) · Zbl 1020.83041 · doi:10.1016/S0370-2693(01)01174-1
[136] Zimdahl, W., Pavón, D.: Gen. Relativ. Gravit. 35, 413 (2003) · Zbl 1016.83049 · doi:10.1023/A:1022369800053
[137] Zhu, T., Ren, J.R.: Eur. Phys. J. C 62, 413 (2009) · Zbl 1188.83067 · doi:10.1140/epjc/s10052-009-1044-9
[138] Amani, A.R., Sadeghi, J., Farajollahi, H., Pourali, M.: Can. J. Phys. 90, 61 (2012) · doi:10.1139/p11-140
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.