Abstract
We extend the holographic Ricci dark energy model to include some direct, non-gravitational interaction between dark energy and dark matter. We consider three phenomenological forms for the interaction term Q in the model, namely, Q is taken proportional to the Hubble expansion rate and the energy densities of dark sectors (taken to be ρ de, ρ m, and ρ de+ρ m, respectively). We obtain a uniform analytical solution to the three interacting models. Furthermore, we constrain the models by using the latest observational data, including the 557 Union2 type Ia supernovae data, the cosmic microwave background anisotropy data from the 7-yr WMAP, and the baryon acoustic oscillation data from the SDSS. We show that in the interacting models of the holographic Ricci dark energy, a more reasonable value of Ω m0 will be obtained, and the observations favor a rather strong coupling between dark energy and dark matter.
Similar content being viewed by others
References
A.G. Riess et al. (Supernova Search Team Collaboration), Astron. J. 116, 1009 (1998). arXiv:astro-ph/9805201
S. Perlmutter et al. (Supernova Search Team Collaboration), Astrophys. J. 517, 565 (1999). arXiv:astro-ph/9812133
A. Einstein, Sitz.ber. Preuss. Akad. Wiss. Berl., Math. Phys. 1917, 142 (1917)
S. Weinberg, Rev. Mod. Phys. 61, 1 (1989)
V. Sahni, A.A. Starobinsky, Int. J. Mod. Phys. D 9, 373 (2000). arXiv:astro-ph/9904398
S.M. Carroll, Living Rev. Relativ. 4, 1 (2001). arXiv:astro-ph/0004075
P.J.E. Peebles, B. Ratra, Rev. Mod. Phys. 75, 559 (2003). arXiv:astro-ph/0207347
T. Padmanabhan, Phys. Rep. 380, 235 (2003). arXiv:hep-th/0212290
E.J. Copeland, M. Sami, S. Tsujikawa, Int. J. Mod. Phys. D 15, 1753 (2006). arXiv:hep-th/0603057
M. Li, X.D. Li, S. Wang, Y. Wang, Commun. Theor. Phys. 56, 525 (2011). arXiv:1103.5870 [astro-ph.CO]
Y.F. Cai, E.N. Saridakis, M.R. Setare, J.Q. Xia, Phys. Rep. 493, 1 (2010). arXiv:0909.2776 [hep-th]
S. Nojiri, S.D. Odintsov, Phys. Rep. 505, 59 (2011). arXiv:1011.0544 [gr-qc]
M. Li, Phys. Lett. B 603, 1 (2004). arXiv:hep-th/0403127
Q.G. Huang, M. Li, J. Cosmol. Astropart. Phys. 0408, 013 (2004). arXiv:astro-ph/0404229
Q.G. Huang, M. Li, J. Cosmol. Astropart. Phys. 0503, 001 (2005). arXiv:hep-th/0410095
X. Zhang, Int. J. Mod. Phys. D 14, 1597 (2005). arXiv:astro-ph/0504586
J. Zhang, X. Zhang, H. Liu, Eur. Phys. J. C 52, 693 (2007). arXiv:0708.3121 [hep-th]
Y.G. Gong, Phys. Rev. D 70, 064029 (2004). arXiv:hep-th/0404030
B. Wang, E. Abdalla, R.K. Su, Phys. Lett. B 611, 21 (2005). arXiv:hep-th/0404057
X. Wu, R.G. Cai, Z.H. Zhu, Phys. Rev. D 77, 043502 (2008). arXiv:0712.3604 [astro-ph]
B. Chen, M. Li, Y. Wang, Nucl. Phys. B 774, 256 (2007). arXiv:astro-ph/0611623
M. Li, C. Lin, Y. Wang, J. Cosmol. Astropart. Phys. 0805, 023 (2008). arXiv:0801.1407 [astro-ph]
M. Li, X.D. Li, C. Lin, Y. Wang, Commun. Theor. Phys. 51, 181 (2009). arXiv:0811.3332 [hep-th]
S. Nojiri, S.D. Odintsov, Gen. Relativ. Gravit. 38, 1285 (2006). arXiv:hep-th/0506212
X. Zhang, Phys. Lett. B 683, 81 (2010). arXiv:0909.4940 [gr-qc]
X. Zhang, F.Q. Wu, Phys. Rev. D 72, 043524 (2005). arXiv:astro-ph/0506310
X. Zhang, F.Q. Wu, Phys. Rev. D 76, 023502 (2007). arXiv:astro-ph/0701405
Q.G. Huang, Y.G. Gong, J. Cosmol. Astropart. Phys. 0408, 006 (2004). arXiv:astro-ph/0403590
Z. Chang, F.Q. Wu, X. Zhang, Phys. Lett. B 633, 14 (2006). arXiv:astro-ph/0509531
J.Y. Shen, B. Wang, E. Abdalla, R.K. Su, Phys. Lett. B 609, 200 (2005). arXiv:hep-th/0412227
Z.L. Yi, T.J. Zhang, Mod. Phys. Lett. A 22, 41 (2007). arXiv:astro-ph/0605596
Y.Z. Ma, Y. Gong, X. Chen, Eur. Phys. J. C 60, 303 (2009). arXiv:0711.1641 [astro-ph]
M. Li, X.-D. Li, S. Wang, X. Zhang, J. Cosmol. Astropart. Phys. 0906, 036 (2009). arXiv:0904.0928 [astro-ph.CO]
M. Li, X.-D. Li, S. Wang, Y. Wang, X. Zhang, J. Cosmol. Astropart. Phys. 0912, 014 (2009). arXiv:0910.3855 [astro-ph.CO]
G. ’t Hooft. arXiv:gr-qc/9310026
L. Susskind, J. Math. Phys. 36, 6377 (1995). arXiv:hep-th/9409089
A.G. Cohen, D.B. Kaplan, A.E. Nelson, Phys. Rev. Lett. 82, 4971 (1999). arXiv:hep-th/9803132
R.G. Cai, Phys. Lett. B 657, 228 (2007). arXiv:0707.4049 [hep-th]
H. Wei, R.G. Cai, Phys. Lett. B 660, 113 (2008). arXiv:0708.0884 [astro-ph]
J. Zhang, X. Zhang, H. Liu, Eur. Phys. J. C 54, 303 (2008). arXiv:0801.2809 [astro-ph]
X.-L. Liu, J. Zhang, X. Zhang, Phys. Lett. B 689, 139 (2010). arXiv:1005.2466 [gr-qc]
C. Gao, F.Q. Wu, X. Chen, Y.G. Shen, Phys. Rev. D 79, 043511 (2009). arXiv:0712.1394 [astro-ph]
E. Komatsu et al. (WMAP Collaboration), Astrophys. J. Suppl. Ser. 192, 18 (2011). arXiv:1001.4538 [astro-ph.CO]
R.G. Cai, B. Hu, Y. Zhang, Commun. Theor. Phys. 51, 954 (2009). arXiv:0812.4504 [hep-th]
X. Zhang, Phys. Rev. D 79, 103509 (2009). arXiv:0901.2262 [astro-ph.CO]
C.-J. Feng, X. Zhang, Phys. Lett. B 680, 399 (2009). arXiv:0904.0045 [gr-qc]
C.J. Feng, arXiv:0806.0673 [hep-th]
C.J. Feng, Phys. Lett. B 672, 94 (2009). arXiv:0810.2594 [hep-th]
L.N. Granda, A. Oliveros, Phys. Lett. B 669, 275 (2008). arXiv:0810.3149 [gr-qc]
L. Xu, W. Li, J. Lu, arXiv:0810.4730 [astro-ph]
C.J. Feng, arXiv:0812.2067 [hep-th]
K.Y. Kim, H.W. Lee, Y.S. Myung, arXiv:0812.4098 [gr-qc]
J. Zhang, L. Zhang, X. Zhang, Phys. Lett. B 691, 11 (2010). arXiv:1006.1738 [astro-ph.CO]
L. Amendola, Phys. Rev. D 62, 043511 (2000). arXiv:astro-ph/9908023
D. Comelli, M. Pietroni, A. Riotto, Phys. Lett. B 571, 115 (2003). arXiv:hep-ph/0302080
X. Zhang, Mod. Phys. Lett. A 20, 2575 (2005). arXiv:astro-ph/0503072
R.G. Cai, A. Wang, J. Cosmol. Astropart. Phys. 0503, 002 (2005). arXiv:hep-th/0411025
S. Capozziello, S. Nojiri, S.D. Odintsov, Phys. Lett. B 632, 597 (2006). arXiv:hep-th/0507182
S. Nojiri, S.D. Odintsov, Phys. Rev. D 72, 023003 (2005). arXiv:hep-th/0505215
J.H. He, B. Wang, Y.P. Jing, J. Cosmol. Astropart. Phys. 0907, 030 (2009). arXiv:0902.0660 [gr-qc]
J.H. He, B. Wang, P. Zhang, Phys. Rev. D 80, 063530 (2009). arXiv:0906.0677 [gr-qc]
C.G. Boehmer, G. Caldera-Cabral, R. Lazkoz, R. Maartens, Phys. Rev. D 78, 023505 (2008). arXiv:0801.1565 [gr-qc]
Z.K. Guo, N. Ohta, S. Tsujikawa, Phys. Rev. D 76, 023508 (2007). arXiv:astro-ph/0702015
J.Q. Xia, Phys. Rev. D 80, 103514 (2009). arXiv:0911.4820 [astro-ph.CO]
L.L. Honorez, B.A. Reid, O. Mena, L. Verde, R. Jimenez, J. Cosmol. Astropart. Phys. 1009, 029 (2010). arXiv:1006.0877 [astro-ph.CO]
M. Baldi, arXiv:1005.2188 [astro-ph.CO]
Y. Li, J. Ma, J. Cui, Z. Wang, X. Zhang, Sci. China Ser. G 54, 1367 (2011). arXiv:1011.6122 [astro-ph.CO]
Y.H. Li, X. Zhang, Eur. Phys. J. C 71, 1700 (2011). arXiv:1103.3185 [astro-ph.CO]
M. Suwa, T. Nihei, Phys. Rev. D 81, 023519 (2010). arXiv:0911.4810 [astro-ph.CO]
R. Amanullah et al., Astrophys. J. 716, 712 (2010). 1004.1711 [astro-ph.CO]
S. Nesseris, L. Perivolaropoulos, Phys. Rev. D 72, 123519 (2005). arXiv:astro-ph/0511040
L. Perivolaropoulos, Phys. Rev. D 71, 063503 (2005). arXiv:astro-ph/0412308
S. Nesseris, L. Perivolaropoulos, J. Cosmol. Astropart. Phys. 0702, 025 (2007). arXiv:astro-ph/0612653
Y. Wang, P. Mukherjee, Astrophys. J. 650, 1 (2006). arXiv:astro-ph/0604051
J.R. Bond, G. Efstathiou, M. Tegmark, Mon. Not. R. Astron. Soc. 291, L33 (1997). arXiv:astro-ph/9702100
M. Tegmark et al. (SDSS Collaboration), Astrophys. J. 606, 702 (2004). arXiv:astro-ph/0310725
M. Tegmark et al. (SDSS Collaboration), Phys. Rev. D 74, 123507 (2006). arXiv:astro-ph/0608632
D.J. Eisenstein et al. (SDSS Collaboration), Astrophys. J. 633, 560 (2005). arXiv:astro-ph/0501171
A.R. Liddle, Mon. Not. R. Astron. Soc. 351, L49 (2004). arXiv:astro-ph/0401198
M. Szydlowski, A. Kurek, arXiv:0801.0638 [astro-ph]
T.M. Davis, E. Mortsell, J. Sollerman, A.C. Becker, S. Blondin, P. Challis, A. Clocchiatti, A.V. Filippenko et al., Astrophys. J. 666, 716 (2007). astro-ph/0701510
M. Li, X.D. Li, X. Zhang, Sci. China Ser. G 53, 1631 (2010). arXiv:0912.3988 [astro-ph.CO]
S. del Campo, J.C. Fabris, R. Herrera, W. Zimdahl, Phys. Rev. D 83, 123006 (2011). arXiv:1103.3441 [astro-ph.CO]
I. Duran, D. Pavon, Phys. Rev. D 83, 023504 (2011). arXiv:1012.2986 [astro-ph.CO]
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Fu, TF., Zhang, JF., Chen, JQ. et al. Holographic Ricci dark energy: interacting model and cosmological constraints. Eur. Phys. J. C 72, 1932 (2012). https://doi.org/10.1140/epjc/s10052-012-1932-2
Received:
Revised:
Published:
DOI: https://doi.org/10.1140/epjc/s10052-012-1932-2