Skip to main content
Log in

Features of holographic dark energy under combined cosmological constraints

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

Abstract

We investigate the observational signatures of the holographic dark-energy models, including both the original model and a model with an interaction term between the dark energy and dark matter. We first delineate the dynamical behavior of such models, especially considering whether they would have a “big rip” for different parameters; then we use several recent observations, including 182 high-quality type Ia supernovae data observed with the Hubble Space Telescope, the SNLS and ESSENCE surveys, 42 latest Chandra X-ray cluster gas mass fraction, 27 high-redshift gamma-ray burst samples, the baryon acoustic oscillation measurement from the Sloan Digital Sky Survey, and the CMB shift parameter from the WMAP three-year result to give more reliable and tighter constraints on the holographic dark-energy models. The results of our constraints for the holographic dark-energy model without interaction is c=0.748 +0.108−0.009 , Ω m0=0.276 +0.017−0.016 , and for the model with interaction (c=0.692 +0.135−0.107 , Ω m0=0.281 +0.017−0.017 , α=−0.006 +0.021−0.024 , where α is an interacting parameter). As these models have more parameters than the ΛCDM model, we use the Bayesian Evidence as a model-selection criterion to make comparisons. We found that the holographic dark-energy models are mildly favored by the observations as compared to the ΛCDM model.

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 (Supernova Search Team Collaboration), Astron. J. 116, 1009 (1998). astro-ph/9805201

    Article  ADS  Google Scholar 

  2. S. Perlmutter (Supernova Cosmology Project Collaboration), Astrophys. J. 517, 565 (1999). astro-ph/9812133

    Article  Google Scholar 

  3. M. Tegmark (SDSS Collaboration), Phys. Rev. D 69, 103501 (2004). astro-ph/0310723

    Article  ADS  Google Scholar 

  4. D.N. Spergel (WMAP Collaboration), Astrophys. J. Suppl. 148, 175 (2003). astro-ph/0302209

    Article  ADS  Google Scholar 

  5. D.N. Spergel , Astrophys. J. Suppl. 170, 377 (2007). astro-ph/0603449

    Article  ADS  Google Scholar 

  6. P.J. Steinhardt, in Critical Problems in Physics, ed. by V.L. Fitch, D.R. Marlow (Princeton University Press, Princeton, 1997)

    Google Scholar 

  7. E. Witten, hep-ph/0002297

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

    Article  MATH  ADS  MathSciNet  Google Scholar 

  9. P. Horava, D. Minic, Phys. Rev. Lett. 85, 1610 (2000). hep-th/0001145

    Article  ADS  MathSciNet  Google Scholar 

  10. S.D. Thomas, Phys. Rev. Lett. 89, 081301 (2002)

    Article  ADS  MathSciNet  Google Scholar 

  11. S.D.H. Hsu, Phys. Lett. B 594, 13 (2004). hep-th/0403052

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  13. G.’t Hooft, gr-qc/9310026

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

    Article  MATH  ADS  MathSciNet  Google Scholar 

  15. J.D. Bekenstein, Phys. Rev. D 7, 2333 (1973)

    Article  ADS  MathSciNet  Google Scholar 

  16. J.D. Bekenstein, Phys. Rev. D 9, 3292 (1974)

    Article  Google Scholar 

  17. J.D. Bekenstein, Phys. Rev. D 23, 287 (1981)

    Article  ADS  MathSciNet  Google Scholar 

  18. J.D. Bekenstein, Phys. Rev. D 49, 1912 (1994)

    Article  ADS  MathSciNet  Google Scholar 

  19. S.W. Hawking, Commun. Math. Phys. 43, 199 (1975)

    Article  MathSciNet  Google Scholar 

  20. S.W. Hawking, Phys. Rev. D 13, 191 (1976)

    Article  ADS  MathSciNet  Google Scholar 

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

    Article  ADS  Google Scholar 

  22. K. Enqvist, M.S. Sloth, Phys. Rev. Lett. 93, 221302 (2004). hep-th/0406019

    Article  ADS  Google Scholar 

  23. K. Ke, M. Li, Phys. Lett. B 606, 173 (2005) hep-th/0407056

    Article  ADS  MathSciNet  Google Scholar 

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

    Article  ADS  Google Scholar 

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

    Article  MATH  ADS  Google Scholar 

  26. X. Zhang, Phys. Lett. B 648, 1 (2007). astro-ph/0604484

    Article  ADS  Google Scholar 

  27. X. Zhang, Phys. Rev. D 74, 103505 (2006). astro-ph/0609699

    Article  ADS  Google Scholar 

  28. D. Pavon, W. Zimdahl, Phys. Lett. B 628, 206 (2005). gr-qc/0505020

    Article  ADS  Google Scholar 

  29. B. Wang, Y.g. Gong, E. Abdalla, Phys. Lett. B 624, 141 (2005). hep-th/0506069

    Article  ADS  Google Scholar 

  30. H. Kim, H.W. Lee, Y.S. Myung, Phys. Lett. B 632, 605 (2006). gr-qc/0509040

    Article  ADS  Google Scholar 

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

    Article  MATH  ADS  MathSciNet  Google Scholar 

  32. B. Hu, Y. Ling, Phys. Rev. D 73, 123510 (2006). hep-th/0601093

    Article  ADS  MathSciNet  Google Scholar 

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

    Article  MATH  ADS  MathSciNet  Google Scholar 

  34. J. Zhang, X. Zhang, H. Liu, Phys. Lett. B 651, 84 (2007). astro-ph/07061185

    Article  ADS  MathSciNet  Google Scholar 

  35. J. Zhang, X. Zhang, H. Liu, Eur. Phys. J. C 52, 693 (2007). 0708.3121 [astro-ph]

    Article  ADS  Google Scholar 

  36. Y.Z. Ma, X. Zhang, Phys. Lett. B 661, 239 (2008). 0709.1517 [astro-ph]

    ADS  MathSciNet  Google Scholar 

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

    Article  ADS  Google Scholar 

  38. K. Enqvist, S. Hannestad, M.S. Sloth, J. Cosmol. Astropart. Phys. 0502, 004 (2005). astro-ph/0409275

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  40. H.C. Kao, W.L. Lee, F.L. Lin, Phys. Rev. D 71, 123518 (2005). astro-ph/0501487

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  45. B. Wang, C.Y. Lin, E. Abdalla, Phys. Lett. B 637, 357 (2006). hep-th/0509107

    Article  ADS  Google Scholar 

  46. Q. Wu, Y. Gong, A. Wang, J.S. Alcaniz, 0705.1006 [astro-ph]

  47. C. Feng, B. Wang, Y. Gong, R.K. Su, J. Cosmol. Astropart. Phys., accepted for publication. 0706.4033 [astro-ph]

  48. R.R. Caldwell, M. Kamionkowski, N.N. Weinberg, Phys. Rev. Lett. 91, 071301 (2003)

    Article  ADS  Google Scholar 

  49. A.G. Riess , Astrophys. J. 656, 98 (2007). astro-ph/0611572

    Article  ADS  Google Scholar 

  50. P. Astier , Astron. Astrophys. 447, 31 (2006). astro-ph/0510447

    Article  ADS  Google Scholar 

  51. W.M. Wood-Vasey , Astrophys. J. 666, 694 (2007). astro-ph/0701041

    Article  ADS  Google Scholar 

  52. S.W. Allen , Mon. Not. R. Astron. Soc. 383, 879 (2008). 0706.0033 [astro-ph]

    Article  ADS  Google Scholar 

  53. B.E. Scheafer, Astrophys. J. 660, 16 (2007). astro-ph/0612285

    Article  ADS  Google Scholar 

  54. G. Ghirlanda , Astrophys. J. Lett. 613, L13 (2004). astro-ph/0408350

    Article  ADS  Google Scholar 

  55. D.J. Eisenstein , Astrophys. J. 633, 560 (2005). astro-ph/0501171

    Article  ADS  Google Scholar 

  56. P.G. Ferreira, M. Joyce, Phys. Rev. D 58, 023503 (1998). astro-ph/9711102

    Article  Google Scholar 

  57. A. Berera, L.Z. Fang, Phys. Rev. Lett. 74, 1912 (1995). astro-ph/9501024

    Article  ADS  Google Scholar 

  58. M. Bellini, Class. Quantum Gravity 16, 2393 (1999). gr-qc/9904072

    Article  MATH  MathSciNet  Google Scholar 

  59. A.P. Billyard, A.A. Coley, Phys. Rev. D 61, 083503 (2000). astro-ph/9908224

    Article  ADS  MathSciNet  Google Scholar 

  60. C. Eckart, Phys. Rev. 58, 919 (1940)

    Article  MATH  ADS  Google Scholar 

  61. C.G. Boehmer , Phys. Rev. D 78, 023505 (2008). 0801.1565 [gr-qc]

    Article  ADS  Google Scholar 

  62. K. Karwan, J. Cosmol. Astrophys. Phys. 0805, 011 (2008). 0801.1755 [astro-ph]

    Article  ADS  Google Scholar 

  63. M. Li, C. Lin, Y. Wang, J. Cosmol. Astropart. Phys. 05, 023 (2008). 0801.1407 [astro-ph]

    Article  ADS  MathSciNet  Google Scholar 

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

    Article  ADS  MathSciNet  Google Scholar 

  65. A.G. Riess, W.H. Press, R.P. Kirshner, Astrophys. J. 473, 88 (1996). astro-ph/9604143

    Article  ADS  Google Scholar 

  66. S. Jha, A.G. Riess, R.P. Kirshner, Astrophys. J. 659, 122 (2007). astro-ph/0612666

    Article  ADS  Google Scholar 

  67. J. Guy, P. Astier, S. Nobili, N. Regnault, R. Pain, astro-ph/0506583

  68. T.M. Davis , Astrophys. J. 666, 716 (2007). astro-ph/0701510

    Article  ADS  Google Scholar 

  69. D.N. Spergel , Astrophys. J. Suppl. Ser. 170, 377 (2007). astro-ph/0601133

    Article  ADS  Google Scholar 

  70. S.W. Allen , Mon. Not. R. Astron. Soc. 334, 11 (2002)

    Article  ADS  Google Scholar 

  71. S.W. Allen , Mon. Not. R. Astron. Soc. 353, 457 (2004)

    Article  ADS  Google Scholar 

  72. E. Liang, B. Zhang, Astrophys. J. 633, 611 (2005). astro-ph/0504404

    Article  ADS  Google Scholar 

  73. G. Ghirlanda, G. Ghisellini, C. Firmani, New J. Phys. 8, 123 (2006). astro-ph/0610248

    Article  ADS  Google Scholar 

  74. Z.G. Dai, E.W. Liang, D. Xu, Astrophys. J. 612, 101 (2004). astro-ph/0407497

    Article  ADS  Google Scholar 

  75. D. Xu, Z.G. Dai, E.W. Liang, Astrophys. J. 633, 603 (2005). astro-ph/0501458

    Article  ADS  Google Scholar 

  76. C. Firmani, G. Ghisellini, G. Ghirlanda, V. Avila-Reese, Mon. Not. R. Astron. Soc. 360, 1 (2005). astro-ph/0501395

    Article  ADS  Google Scholar 

  77. D. Hooper, S. Dodelson, Astropart. Phys. 27, 113 (2007). astro-ph/0512232

    Article  ADS  Google Scholar 

  78. Y. Wang, P. Mukherjee, Phys. Rev. D 76, 103533 (2007). astro-ph/0703780

    Article  ADS  Google Scholar 

  79. A. Lewis, S. Bridle, Phys. Rev. D 66, 103511 (2002). astro-ph/0205436

    Article  ADS  Google Scholar 

  80. D.J.C. MacKay, Information Theory, Inference, and Learning Algorithms (Cambridge University Press, Cambridge, 2003)

    MATH  Google Scholar 

  81. R.M. Neil, Probabilistic Inference Using Markov Chain Monte Carlo Methods (1993)

  82. L. Perotto , J. Cosmol. Astropart. Phys. 0610, 013 (2006)

    Article  ADS  Google Scholar 

  83. Y. Gong, X.L. Chen, Phys. Rev. D 76, 123007 (2007). 0708.2977 [astro-ph]

    Article  ADS  Google Scholar 

  84. A. Gelman, D. Rubin, Stat. Sci. 7, 457 (1992)

    Article  Google Scholar 

  85. H. Akaike, IEEE Trans. Aut. Control 19, 716 (1974)

    Article  MATH  ADS  MathSciNet  Google Scholar 

  86. A.R. Liddle, P. Mukherjee, D.R. Parkinson, Astron. Geophys. 47, 4.30 (2006). astro-ph/0608184

    Article  Google Scholar 

  87. M. Biesiada, J. Cosmol. Astropart. Phys. 0702, 003 (2007). astro-ph/0701721

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  89. G. Schwarz, Ann. Stat. 6, 461 (1978)

    Article  MATH  Google Scholar 

  90. A. Kurek, M. Szydlowski, Astrophys. J. 675, 1 (2008). astro-ph/0702484

    Article  ADS  Google Scholar 

  91. A.R. Liddle, Mon. Not. R. Astron. Soc. Lett. 377, L74 (2007). astro-ph/0701113

    Article  ADS  Google Scholar 

  92. M.V. John, J.V. Narlikar, Phys. Rev. D 65, 043506 (2002). astro-ph/0111122

    Article  ADS  MathSciNet  Google Scholar 

  93. R. Trotta, Mon. Not. R. Astron. Soc. 378, 72 (2007). astro-ph/0504022

    Article  ADS  Google Scholar 

  94. P. Mukherjee, D.R. Parkinson, A.R. Liddle, Astrophys. J. 638, L51 (2006). astro-ph/0508461

    Article  ADS  Google Scholar 

  95. P. Mukherjee, D.R. Parkinson, P.S. Corasaniti, A.R. Liddle, M. Kunz, Mon. Not. R. Astron. Soc. 369, 1725 (2006). astro-ph/0512484

    Article  ADS  Google Scholar 

  96. M. Kunz, R. Trotta, D.R. Parkinson, Phys. Rev. D 74, 023503 (2006). astro-ph/0602378

    Article  ADS  Google Scholar 

  97. R. Trotta, Mon. Not. R. Astron. Soc. 378, 819 (2007). astro-ph/0703063

    Article  ADS  Google Scholar 

  98. P. Marshall, N. Rajguru, A. Slosar, Phys. Rev. D 73, 067302 (2006). astro-ph/0412535

    Article  ADS  Google Scholar 

  99. J. Skilling, http://www.inference.phy.cam.ac.uk/bayesys/

  100. B. Feng, X.L. Wang, X.M. Zhang, Phys. Lett. B 607, 35 (2005). astro-ph/0404224

    Article  ADS  Google Scholar 

  101. M.Z. Li, B. Feng, X.M. Zhang, J. Cosmol. Astropart. Phys. 0512, 002 (2005). hep-th/0503268

    Article  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Yin-Zhe Ma.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Ma, YZ., Gong, Y. & Chen, X. Features of holographic dark energy under combined cosmological constraints. Eur. Phys. J. C 60, 303–315 (2009). https://doi.org/10.1140/epjc/s10052-009-0876-7

Download citation

  • Received:

  • Revised:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1140/epjc/s10052-009-0876-7

Keywords

Navigation