Skip to main content
Log in

Holographic Ricci dark energy: interacting model and cosmological constraints

  • Regular Article - Theoretical Physics
  • Published:
The European Physical Journal C Aims and scope Submit manuscript

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.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. A.G. Riess et al. (Supernova Search Team Collaboration), Astron. J. 116, 1009 (1998). arXiv:astro-ph/9805201

    Article  ADS  Google Scholar 

  2. S. Perlmutter et al. (Supernova Search Team Collaboration), Astrophys. J. 517, 565 (1999). arXiv:astro-ph/9812133

    Article  ADS  Google Scholar 

  3. A. Einstein, Sitz.ber. Preuss. Akad. Wiss. Berl., Math. Phys. 1917, 142 (1917)

    Google Scholar 

  4. S. Weinberg, Rev. Mod. Phys. 61, 1 (1989)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  5. V. Sahni, A.A. Starobinsky, Int. J. Mod. Phys. D 9, 373 (2000). arXiv:astro-ph/9904398

    ADS  Google Scholar 

  6. S.M. Carroll, Living Rev. Relativ. 4, 1 (2001). arXiv:astro-ph/0004075

    ADS  Google Scholar 

  7. P.J.E. Peebles, B. Ratra, Rev. Mod. Phys. 75, 559 (2003). arXiv:astro-ph/0207347

    Article  MathSciNet  ADS  MATH  Google Scholar 

  8. T. Padmanabhan, Phys. Rep. 380, 235 (2003). arXiv:hep-th/0212290

    Article  MathSciNet  ADS  MATH  Google Scholar 

  9. E.J. Copeland, M. Sami, S. Tsujikawa, Int. J. Mod. Phys. D 15, 1753 (2006). arXiv:hep-th/0603057

    Article  MathSciNet  ADS  MATH  Google Scholar 

  10. M. Li, X.D. Li, S. Wang, Y. Wang, Commun. Theor. Phys. 56, 525 (2011). arXiv:1103.5870 [astro-ph.CO]

    Article  ADS  Google Scholar 

  11. Y.F. Cai, E.N. Saridakis, M.R. Setare, J.Q. Xia, Phys. Rep. 493, 1 (2010). arXiv:0909.2776 [hep-th]

    Article  MathSciNet  ADS  Google Scholar 

  12. S. Nojiri, S.D. Odintsov, Phys. Rep. 505, 59 (2011). arXiv:1011.0544 [gr-qc]

    Article  MathSciNet  ADS  Google Scholar 

  13. M. Li, Phys. Lett. B 603, 1 (2004). arXiv:hep-th/0403127

    Article  ADS  Google Scholar 

  14. Q.G. Huang, M. Li, J. Cosmol. Astropart. Phys. 0408, 013 (2004). arXiv:astro-ph/0404229

    Article  ADS  Google Scholar 

  15. Q.G. Huang, M. Li, J. Cosmol. Astropart. Phys. 0503, 001 (2005). arXiv:hep-th/0410095

    Article  ADS  Google Scholar 

  16. X. Zhang, Int. J. Mod. Phys. D 14, 1597 (2005). arXiv:astro-ph/0504586

    Article  ADS  MATH  Google Scholar 

  17. J. Zhang, X. Zhang, H. Liu, Eur. Phys. J. C 52, 693 (2007). arXiv:0708.3121 [hep-th]

    Article  ADS  MATH  Google Scholar 

  18. Y.G. Gong, Phys. Rev. D 70, 064029 (2004). arXiv:hep-th/0404030

    Article  ADS  Google Scholar 

  19. B. Wang, E. Abdalla, R.K. Su, Phys. Lett. B 611, 21 (2005). arXiv:hep-th/0404057

    Article  ADS  Google Scholar 

  20. X. Wu, R.G. Cai, Z.H. Zhu, Phys. Rev. D 77, 043502 (2008). arXiv:0712.3604 [astro-ph]

    Article  ADS  Google Scholar 

  21. B. Chen, M. Li, Y. Wang, Nucl. Phys. B 774, 256 (2007). arXiv:astro-ph/0611623

    Article  MathSciNet  ADS  MATH  Google Scholar 

  22. M. Li, C. Lin, Y. Wang, J. Cosmol. Astropart. Phys. 0805, 023 (2008). arXiv:0801.1407 [astro-ph]

    Article  MathSciNet  ADS  Google Scholar 

  23. M. Li, X.D. Li, C. Lin, Y. Wang, Commun. Theor. Phys. 51, 181 (2009). arXiv:0811.3332 [hep-th]

    Article  ADS  MATH  Google Scholar 

  24. S. Nojiri, S.D. Odintsov, Gen. Relativ. Gravit. 38, 1285 (2006). arXiv:hep-th/0506212

    Article  MathSciNet  ADS  MATH  Google Scholar 

  25. X. Zhang, Phys. Lett. B 683, 81 (2010). arXiv:0909.4940 [gr-qc]

    Article  ADS  Google Scholar 

  26. X. Zhang, F.Q. Wu, Phys. Rev. D 72, 043524 (2005). arXiv:astro-ph/0506310

    Article  ADS  Google Scholar 

  27. X. Zhang, F.Q. Wu, Phys. Rev. D 76, 023502 (2007). arXiv:astro-ph/0701405

    Article  ADS  Google Scholar 

  28. Q.G. Huang, Y.G. Gong, J. Cosmol. Astropart. Phys. 0408, 006 (2004). arXiv:astro-ph/0403590

    Article  ADS  Google Scholar 

  29. Z. Chang, F.Q. Wu, X. Zhang, Phys. Lett. B 633, 14 (2006). arXiv:astro-ph/0509531

    Article  ADS  Google Scholar 

  30. J.Y. Shen, B. Wang, E. Abdalla, R.K. Su, Phys. Lett. B 609, 200 (2005). arXiv:hep-th/0412227

    Article  ADS  Google Scholar 

  31. Z.L. Yi, T.J. Zhang, Mod. Phys. Lett. A 22, 41 (2007). arXiv:astro-ph/0605596

    Article  ADS  Google Scholar 

  32. Y.Z. Ma, Y. Gong, X. Chen, Eur. Phys. J. C 60, 303 (2009). arXiv:0711.1641 [astro-ph]

    Article  ADS  Google Scholar 

  33. M. Li, X.-D. Li, S. Wang, X. Zhang, J. Cosmol. Astropart. Phys. 0906, 036 (2009). arXiv:0904.0928 [astro-ph.CO]

    Article  MathSciNet  ADS  Google Scholar 

  34. M. Li, X.-D. Li, S. Wang, Y. Wang, X. Zhang, J. Cosmol. Astropart. Phys. 0912, 014 (2009). arXiv:0910.3855 [astro-ph.CO]

    Article  ADS  Google Scholar 

  35. G. ’t Hooft. arXiv:gr-qc/9310026

  36. L. Susskind, J. Math. Phys. 36, 6377 (1995). arXiv:hep-th/9409089

    Article  MathSciNet  ADS  MATH  Google Scholar 

  37. A.G. Cohen, D.B. Kaplan, A.E. Nelson, Phys. Rev. Lett. 82, 4971 (1999). arXiv:hep-th/9803132

    Article  MathSciNet  ADS  MATH  Google Scholar 

  38. R.G. Cai, Phys. Lett. B 657, 228 (2007). arXiv:0707.4049 [hep-th]

    Article  MathSciNet  ADS  Google Scholar 

  39. H. Wei, R.G. Cai, Phys. Lett. B 660, 113 (2008). arXiv:0708.0884 [astro-ph]

    Article  ADS  Google Scholar 

  40. J. Zhang, X. Zhang, H. Liu, Eur. Phys. J. C 54, 303 (2008). arXiv:0801.2809 [astro-ph]

    Article  ADS  Google Scholar 

  41. X.-L. Liu, J. Zhang, X. Zhang, Phys. Lett. B 689, 139 (2010). arXiv:1005.2466 [gr-qc]

    Article  ADS  Google Scholar 

  42. C. Gao, F.Q. Wu, X. Chen, Y.G. Shen, Phys. Rev. D 79, 043511 (2009). arXiv:0712.1394 [astro-ph]

    Article  ADS  Google Scholar 

  43. E. Komatsu et al. (WMAP Collaboration), Astrophys. J. Suppl. Ser. 192, 18 (2011). arXiv:1001.4538 [astro-ph.CO]

    Article  ADS  Google Scholar 

  44. R.G. Cai, B. Hu, Y. Zhang, Commun. Theor. Phys. 51, 954 (2009). arXiv:0812.4504 [hep-th]

    Article  ADS  MATH  Google Scholar 

  45. X. Zhang, Phys. Rev. D 79, 103509 (2009). arXiv:0901.2262 [astro-ph.CO]

    Article  ADS  Google Scholar 

  46. C.-J. Feng, X. Zhang, Phys. Lett. B 680, 399 (2009). arXiv:0904.0045 [gr-qc]

    Article  ADS  Google Scholar 

  47. C.J. Feng, arXiv:0806.0673 [hep-th]

  48. C.J. Feng, Phys. Lett. B 672, 94 (2009). arXiv:0810.2594 [hep-th]

    Article  ADS  Google Scholar 

  49. L.N. Granda, A. Oliveros, Phys. Lett. B 669, 275 (2008). arXiv:0810.3149 [gr-qc]

    Article  ADS  Google Scholar 

  50. L. Xu, W. Li, J. Lu, arXiv:0810.4730 [astro-ph]

  51. C.J. Feng, arXiv:0812.2067 [hep-th]

  52. K.Y. Kim, H.W. Lee, Y.S. Myung, arXiv:0812.4098 [gr-qc]

  53. J. Zhang, L. Zhang, X. Zhang, Phys. Lett. B 691, 11 (2010). arXiv:1006.1738 [astro-ph.CO]

    Article  ADS  Google Scholar 

  54. L. Amendola, Phys. Rev. D 62, 043511 (2000). arXiv:astro-ph/9908023

    Article  ADS  Google Scholar 

  55. D. Comelli, M. Pietroni, A. Riotto, Phys. Lett. B 571, 115 (2003). arXiv:hep-ph/0302080

    Article  MathSciNet  ADS  Google Scholar 

  56. X. Zhang, Mod. Phys. Lett. A 20, 2575 (2005). arXiv:astro-ph/0503072

    Article  ADS  Google Scholar 

  57. R.G. Cai, A. Wang, J. Cosmol. Astropart. Phys. 0503, 002 (2005). arXiv:hep-th/0411025

    Article  ADS  Google Scholar 

  58. S. Capozziello, S. Nojiri, S.D. Odintsov, Phys. Lett. B 632, 597 (2006). arXiv:hep-th/0507182

    Article  ADS  Google Scholar 

  59. S. Nojiri, S.D. Odintsov, Phys. Rev. D 72, 023003 (2005). arXiv:hep-th/0505215

    Article  ADS  Google Scholar 

  60. J.H. He, B. Wang, Y.P. Jing, J. Cosmol. Astropart. Phys. 0907, 030 (2009). arXiv:0902.0660 [gr-qc]

    Article  ADS  Google Scholar 

  61. J.H. He, B. Wang, P. Zhang, Phys. Rev. D 80, 063530 (2009). arXiv:0906.0677 [gr-qc]

    Article  ADS  Google Scholar 

  62. C.G. Boehmer, G. Caldera-Cabral, R. Lazkoz, R. Maartens, Phys. Rev. D 78, 023505 (2008). arXiv:0801.1565 [gr-qc]

    Article  ADS  Google Scholar 

  63. Z.K. Guo, N. Ohta, S. Tsujikawa, Phys. Rev. D 76, 023508 (2007). arXiv:astro-ph/0702015

    Article  ADS  Google Scholar 

  64. J.Q. Xia, Phys. Rev. D 80, 103514 (2009). arXiv:0911.4820 [astro-ph.CO]

    Article  ADS  Google Scholar 

  65. 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]

    Article  Google Scholar 

  66. M. Baldi, arXiv:1005.2188 [astro-ph.CO]

  67. Y. Li, J. Ma, J. Cui, Z. Wang, X. Zhang, Sci. China Ser. G 54, 1367 (2011). arXiv:1011.6122 [astro-ph.CO]

    Article  Google Scholar 

  68. Y.H. Li, X. Zhang, Eur. Phys. J. C 71, 1700 (2011). arXiv:1103.3185 [astro-ph.CO]

    Article  ADS  Google Scholar 

  69. M. Suwa, T. Nihei, Phys. Rev. D 81, 023519 (2010). arXiv:0911.4810 [astro-ph.CO]

    Article  ADS  Google Scholar 

  70. R. Amanullah et al., Astrophys. J. 716, 712 (2010). 1004.1711 [astro-ph.CO]

    Article  ADS  Google Scholar 

  71. S. Nesseris, L. Perivolaropoulos, Phys. Rev. D 72, 123519 (2005). arXiv:astro-ph/0511040

    Article  ADS  Google Scholar 

  72. L. Perivolaropoulos, Phys. Rev. D 71, 063503 (2005). arXiv:astro-ph/0412308

    Article  ADS  Google Scholar 

  73. S. Nesseris, L. Perivolaropoulos, J. Cosmol. Astropart. Phys. 0702, 025 (2007). arXiv:astro-ph/0612653

    Article  MathSciNet  ADS  Google Scholar 

  74. Y. Wang, P. Mukherjee, Astrophys. J. 650, 1 (2006). arXiv:astro-ph/0604051

    Article  ADS  Google Scholar 

  75. J.R. Bond, G. Efstathiou, M. Tegmark, Mon. Not. R. Astron. Soc. 291, L33 (1997). arXiv:astro-ph/9702100

    ADS  Google Scholar 

  76. M. Tegmark et al. (SDSS Collaboration), Astrophys. J. 606, 702 (2004). arXiv:astro-ph/0310725

    Article  ADS  Google Scholar 

  77. M. Tegmark et al. (SDSS Collaboration), Phys. Rev. D 74, 123507 (2006). arXiv:astro-ph/0608632

    Article  ADS  Google Scholar 

  78. D.J. Eisenstein et al. (SDSS Collaboration), Astrophys. J. 633, 560 (2005). arXiv:astro-ph/0501171

    Article  ADS  Google Scholar 

  79. A.R. Liddle, Mon. Not. R. Astron. Soc. 351, L49 (2004). arXiv:astro-ph/0401198

    Article  ADS  Google Scholar 

  80. M. Szydlowski, A. Kurek, arXiv:0801.0638 [astro-ph]

  81. 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

    Article  ADS  Google Scholar 

  82. M. Li, X.D. Li, X. Zhang, Sci. China Ser. G 53, 1631 (2010). arXiv:0912.3988 [astro-ph.CO]

    Article  Google Scholar 

  83. S. del Campo, J.C. Fabris, R. Herrera, W. Zimdahl, Phys. Rev. D 83, 123006 (2011). arXiv:1103.3441 [astro-ph.CO]

    Article  ADS  Google Scholar 

  84. I. Duran, D. Pavon, Phys. Rev. D 83, 023504 (2011). arXiv:1012.2986 [astro-ph.CO]

    Article  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Xin Zhang.

Rights and permissions

Reprints 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

Download citation

  • Received:

  • Revised:

  • Published:

  • DOI: https://doi.org/10.1140/epjc/s10052-012-1932-2

Keywords

Navigation