×

Holographic dark energy in braneworld models with a Gauss-Bonnet term in the bulk. Interacting behavior and the \(w=-1\) crossing. (English) Zbl 1282.83084

Summary: We apply bulk holographic dark energy in general braneworld models with a Gauss-Bonnet term in the bulk and an induced gravity term and a perfect fluid on the brane. Without making any additional assumptions we extract the Friedmann equation on the physical brane and we show that a \(\rho -\rho \Lambda \) coupling arises naturally by the full 5D dynamics. The low-energy (late-time) evolution reveals that the effective 4D holographic dark energy behaves as “quintom”, that is it crosses the phantom divide \(w= - 1\) during the evolution. In particular, the Gauss-Bonnet contribution decreases the present value of w\(\Lambda \), while it increases the growing rate of w\(\Lambda (z)\) with \(z\), in comparison with the case where such a term is absent.

MSC:

83F05 Relativistic cosmology
83E15 Kaluza-Klein and other higher-dimensional theories

References:

[1] Li, M., Phys. Lett. B, 603, 1 (2004)
[2] Gao, C.; Chen, X.; Shen, Y.-G.
[3] Gong, Y.-G., Phys. Rev. D, 70, 064029 (2004)
[4] Guberina, B.; Horvat, R.; Nikolic, H., Phys. Rev. D, 72, 125011 (2005)
[5] Setare, M. R., JCAP, 0701, 023 (2007)
[6] Setare, M. R., Phys. Lett. B, 654, 1 (2007)
[7] Balbi, A., Astrophys. J., 545, L1 (2000), (MAXIMA-1)
[8] ’t Hooft, G., Salamfest, 0284 (1993)
[9] Bousso, R., Rev. Mod. Phys., 74, 825 (2002) · Zbl 1205.83025
[10] Fischler, W.; Susskind, L.
[11] Kiritsis, E., JCAP, 0510, 014 (2005)
[12] Tavakol, R. K.; Ellis, G., Phys. Lett. B, 469, 37 (1999) · Zbl 0993.83052
[13] Kanti, P.; Tamvakis, K., Phys. Rev. D, 68, 024014 (2003)
[14] Cavaglia, M., Int. J. Mod. Phys. A, 18, 1843 (2003) · Zbl 1035.83023
[15] Padmanabhan, T., Class. Quantum Grav., 22, L107 (2005) · Zbl 1135.83320
[16] Randall, L.; Sundrum, R., Phys. Rev. Lett., 83, 4690 (1999) · Zbl 0946.81074
[17] Randall, L.; Sundrum, R., Phys. Rev. Lett., 83, 3370 (1999) · Zbl 0946.81063
[18] Brax, P.; de Bruck, C.v., Class. Quantum Grav., 20, R201 (2003) · Zbl 1033.83027
[19] Saridakis, E. N.
[20] Saridakis, E. N.
[21] Feng, B.; Wang, X.-L.; Zhang, X.-M., Phys. Lett. B, 607, 35 (2005)
[22] Zhao, W., Phys. Lett. B, 655, 97 (2007)
[23] Elizalde, E.; Nojiri, S.; Odintsov, S. D., Phys. Rev. D, 70, 043539 (2004)
[24] Riess, A. G., Astrophys. J., 607, 665 (2004)
[25] Zhao, G.-B.; Xia, J.-Q.; Li, M.; Feng, B.; Zhang, X., Phys. Rev. D, 72, 123515 (2005)
[26] Apostolopoulos, P. S.; Brouzakis, N.; Tetradis, N.; Tzavara, E.
[27] Kofinas, G.; Maartens, R.; Papantonopoulos, E., JHEP, 0310, 066 (2003)
[28] Gravanis, E.; Willison, S., Phys. Lett. B, 562, 118 (2003) · Zbl 1027.83022
[29] Cai, R.-G.; Zhang, H.-S.; Wang, A., Commun. Theor. Phys., 44, 948 (2005)
[30] Maeda, H.; Sahni, V.; Shtanov, Y., Phys. Rev. D, 76, 104028 (2007)
[31] Brown, R. A.; Maartens, R.; Papantonopoulos, E.; Zamarias, V., JCAP, 0511, 008 (2005)
[32] Sanyal, A. K.
[33] Nojiri, S.; Odintsov, S. D., Phys. Lett. B, 631, 1 (2005) · Zbl 1247.83292
[34] Gross, D. J.; Sloan, J. H., Nucl. Phys. B, 291, 41 (1987)
[35] Zwiebach, B., Phys. Lett. B, 156, 315 (1985)
[36] Abdesselam, B.; Mohammedi, N., Phys. Rev. D, 65, 084018 (2002)
[37] Gregory, J. P.; Padilla, A., Class. Quantum Grav., 20, 4221 (2003) · Zbl 1046.83026
[38] Dimopoulos, S.; Landsberg, G. L., Phys. Rev. Lett., 87, 161602 (2001)
[39] Pavon, D.; Zimdahl, W., Phys. Lett. B, 628, 206 (2005)
[40] Hsu, S., Phys. Lett. B, 594, 13 (2004)
[41] Enqvist, K.; Sloth, M. S., Phys. Rev. Lett., 93, 221302 (2004)
[42] Sun, Z.-Y.; Shen, Y.-G., Int. J. Theor. Phys., 46, 877 (2007) · Zbl 1118.83357
[43] Apostolopoulos, P. S.; Tetradis, N., Phys. Rev. D, 74, 064021 (2006)
[44] Apostolopoulos, P. S.; Brouzakis, N.; Saridakis, E. N.; Tetradis, N., Phys. Rev. D, 72, 044013 (2005)
[45] Tetradis, N., Class. Quantum Grav., 21, 5221 (2004) · Zbl 1062.83098
[46] Diakonos, F. K.; Saridakis, E. N.; Tetradis, N., Phys. Lett. B, 605, 1 (2005)
[47] Kim, K. Y.; Lee, H. W.; Myung, Y. S.
[48] Setare, M. R.
[49] Green, M. B.; Vanhove, P., Phys. Lett. B, 408, 122 (1997)
[50] Singh, P.; Sami, M.; Dadhich, N., Phys. Rev. D, 68, 023522 (2003)
[51] Huang, Q.-G.; Gong, Y.-G., JCAP, 0408, 006 (2004)
[52] Chang, Z.; Wu, F.-Q.; Zhang, X., Phys. Lett. B, 633, 14 (2006)
[53] Zhang, X.; Wu, F.-Q., Phys. Rev. D, 76, 023502 (2007)
[54] Ma, Y.-Z.; Gong, Y.
[55] Saridakis, E. N.
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.