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.
Similar content being viewed by others
References
A.G. Riess (Supernova Search Team Collaboration), Astron. J. 116, 1009 (1998). astro-ph/9805201
S. Perlmutter (Supernova Cosmology Project Collaboration), Astrophys. J. 517, 565 (1999). astro-ph/9812133
M. Tegmark (SDSS Collaboration), Phys. Rev. D 69, 103501 (2004). astro-ph/0310723
D.N. Spergel (WMAP Collaboration), Astrophys. J. Suppl. 148, 175 (2003). astro-ph/0302209
D.N. Spergel , Astrophys. J. Suppl. 170, 377 (2007). astro-ph/0603449
P.J. Steinhardt, in Critical Problems in Physics, ed. by V.L. Fitch, D.R. Marlow (Princeton University Press, Princeton, 1997)
E. Witten, hep-ph/0002297
A.G. Cohen, D.B. Kaplan, A.E. Nelson, Phys. Rev. Lett. 82, 4971 (1999). hep-th/9803132
P. Horava, D. Minic, Phys. Rev. Lett. 85, 1610 (2000). hep-th/0001145
S.D. Thomas, Phys. Rev. Lett. 89, 081301 (2002)
S.D.H. Hsu, Phys. Lett. B 594, 13 (2004). hep-th/0403052
M. Li, Phys. Lett. B 603, 1 (2004). hep-th/0403127
G.’t Hooft, gr-qc/9310026
L. Susskind, J. Math. Phys. 36, 6377 (1995). hep-th/9409089
J.D. Bekenstein, Phys. Rev. D 7, 2333 (1973)
J.D. Bekenstein, Phys. Rev. D 9, 3292 (1974)
J.D. Bekenstein, Phys. Rev. D 23, 287 (1981)
J.D. Bekenstein, Phys. Rev. D 49, 1912 (1994)
S.W. Hawking, Commun. Math. Phys. 43, 199 (1975)
S.W. Hawking, Phys. Rev. D 13, 191 (1976)
Q.G. Huang, M. Li, J. Cosmol. Astropart. Phys. 0408, 013 (2004). astro-ph/0404229
K. Enqvist, M.S. Sloth, Phys. Rev. Lett. 93, 221302 (2004). hep-th/0406019
K. Ke, M. Li, Phys. Lett. B 606, 173 (2005) hep-th/0407056
Q.G. Huang, M. Li, J. Cosmol. Astropart. Phys. 0503, 001 (2005). hep-th/0410095
X. Zhang, Int. J. Mod. Phys. D 14, 1597 (2005). astro-ph/0504586
X. Zhang, Phys. Lett. B 648, 1 (2007). astro-ph/0604484
X. Zhang, Phys. Rev. D 74, 103505 (2006). astro-ph/0609699
D. Pavon, W. Zimdahl, Phys. Lett. B 628, 206 (2005). gr-qc/0505020
B. Wang, Y.g. Gong, E. Abdalla, Phys. Lett. B 624, 141 (2005). hep-th/0506069
H. Kim, H.W. Lee, Y.S. Myung, Phys. Lett. B 632, 605 (2006). gr-qc/0509040
S. Nojiri, S.D. Odintsov, Gen. Relativ. Gravit. 38, 1285 (2006) hep-th/0506212
B. Hu, Y. Ling, Phys. Rev. D 73, 123510 (2006). hep-th/0601093
B. Chen, M. Li, Y. Wang, Nucl. Phys. B 774, 256 (2007). astro-ph/0611623
J. Zhang, X. Zhang, H. Liu, Phys. Lett. B 651, 84 (2007). astro-ph/07061185
J. Zhang, X. Zhang, H. Liu, Eur. Phys. J. C 52, 693 (2007). 0708.3121 [astro-ph]
Y.Z. Ma, X. Zhang, Phys. Lett. B 661, 239 (2008). 0709.1517 [astro-ph]
Q.G. Huang, Y.G. Gong, J. Cosmol. Astropart. Phys. 0408, 006 (2004). astro-ph/0403590
K. Enqvist, S. Hannestad, M.S. Sloth, J. Cosmol. Astropart. Phys. 0502, 004 (2005). astro-ph/0409275
J.Y. Shen, B. Wang, E. Abdalla, R.K. Su, Phys. Lett. B 609, 200 (2005). hep-th/0412227
H.C. Kao, W.L. Lee, F.L. Lin, Phys. Rev. D 71, 123518 (2005). astro-ph/0501487
Z. Chang, F.Q. Wu, X. Zhang, Phys. Lett. B 633, 14 (2006). astro-ph/0509531
Z.L. Yi, T.J. Zhang, Mod. Phys. Lett. A 22, 41 (2007). astro-ph/0605596
X. Zhang, F.Q. Wu, Phys. Rev. D 72, 043524 (2005). astro-ph/0506310
X. Zhang, F.Q. Wu, Phys. Rev. D 76, 023502 (2007). astro-ph/0701405
B. Wang, C.Y. Lin, E. Abdalla, Phys. Lett. B 637, 357 (2006). hep-th/0509107
Q. Wu, Y. Gong, A. Wang, J.S. Alcaniz, 0705.1006 [astro-ph]
C. Feng, B. Wang, Y. Gong, R.K. Su, J. Cosmol. Astropart. Phys., accepted for publication. 0706.4033 [astro-ph]
R.R. Caldwell, M. Kamionkowski, N.N. Weinberg, Phys. Rev. Lett. 91, 071301 (2003)
A.G. Riess , Astrophys. J. 656, 98 (2007). astro-ph/0611572
P. Astier , Astron. Astrophys. 447, 31 (2006). astro-ph/0510447
W.M. Wood-Vasey , Astrophys. J. 666, 694 (2007). astro-ph/0701041
S.W. Allen , Mon. Not. R. Astron. Soc. 383, 879 (2008). 0706.0033 [astro-ph]
B.E. Scheafer, Astrophys. J. 660, 16 (2007). astro-ph/0612285
G. Ghirlanda , Astrophys. J. Lett. 613, L13 (2004). astro-ph/0408350
D.J. Eisenstein , Astrophys. J. 633, 560 (2005). astro-ph/0501171
P.G. Ferreira, M. Joyce, Phys. Rev. D 58, 023503 (1998). astro-ph/9711102
A. Berera, L.Z. Fang, Phys. Rev. Lett. 74, 1912 (1995). astro-ph/9501024
M. Bellini, Class. Quantum Gravity 16, 2393 (1999). gr-qc/9904072
A.P. Billyard, A.A. Coley, Phys. Rev. D 61, 083503 (2000). astro-ph/9908224
C. Eckart, Phys. Rev. 58, 919 (1940)
C.G. Boehmer , Phys. Rev. D 78, 023505 (2008). 0801.1565 [gr-qc]
K. Karwan, J. Cosmol. Astrophys. Phys. 0805, 011 (2008). 0801.1755 [astro-ph]
M. Li, C. Lin, Y. Wang, J. Cosmol. Astropart. Phys. 05, 023 (2008). 0801.1407 [astro-ph]
S. Nesseris, L. Perivolaropoulos, J. Cosmol. Astropart. Phys. 0702, 025 (2007). astro-ph/0612653
A.G. Riess, W.H. Press, R.P. Kirshner, Astrophys. J. 473, 88 (1996). astro-ph/9604143
S. Jha, A.G. Riess, R.P. Kirshner, Astrophys. J. 659, 122 (2007). astro-ph/0612666
J. Guy, P. Astier, S. Nobili, N. Regnault, R. Pain, astro-ph/0506583
T.M. Davis , Astrophys. J. 666, 716 (2007). astro-ph/0701510
D.N. Spergel , Astrophys. J. Suppl. Ser. 170, 377 (2007). astro-ph/0601133
S.W. Allen , Mon. Not. R. Astron. Soc. 334, 11 (2002)
S.W. Allen , Mon. Not. R. Astron. Soc. 353, 457 (2004)
E. Liang, B. Zhang, Astrophys. J. 633, 611 (2005). astro-ph/0504404
G. Ghirlanda, G. Ghisellini, C. Firmani, New J. Phys. 8, 123 (2006). astro-ph/0610248
Z.G. Dai, E.W. Liang, D. Xu, Astrophys. J. 612, 101 (2004). astro-ph/0407497
D. Xu, Z.G. Dai, E.W. Liang, Astrophys. J. 633, 603 (2005). astro-ph/0501458
C. Firmani, G. Ghisellini, G. Ghirlanda, V. Avila-Reese, Mon. Not. R. Astron. Soc. 360, 1 (2005). astro-ph/0501395
D. Hooper, S. Dodelson, Astropart. Phys. 27, 113 (2007). astro-ph/0512232
Y. Wang, P. Mukherjee, Phys. Rev. D 76, 103533 (2007). astro-ph/0703780
A. Lewis, S. Bridle, Phys. Rev. D 66, 103511 (2002). astro-ph/0205436
D.J.C. MacKay, Information Theory, Inference, and Learning Algorithms (Cambridge University Press, Cambridge, 2003)
R.M. Neil, Probabilistic Inference Using Markov Chain Monte Carlo Methods (1993)
L. Perotto , J. Cosmol. Astropart. Phys. 0610, 013 (2006)
Y. Gong, X.L. Chen, Phys. Rev. D 76, 123007 (2007). 0708.2977 [astro-ph]
A. Gelman, D. Rubin, Stat. Sci. 7, 457 (1992)
H. Akaike, IEEE Trans. Aut. Control 19, 716 (1974)
A.R. Liddle, P. Mukherjee, D.R. Parkinson, Astron. Geophys. 47, 4.30 (2006). astro-ph/0608184
M. Biesiada, J. Cosmol. Astropart. Phys. 0702, 003 (2007). astro-ph/0701721
A.R. Liddle, Mon. Not. R. Astron. Soc. 351, L49 (2004). astro-ph/0401198
G. Schwarz, Ann. Stat. 6, 461 (1978)
A. Kurek, M. Szydlowski, Astrophys. J. 675, 1 (2008). astro-ph/0702484
A.R. Liddle, Mon. Not. R. Astron. Soc. Lett. 377, L74 (2007). astro-ph/0701113
M.V. John, J.V. Narlikar, Phys. Rev. D 65, 043506 (2002). astro-ph/0111122
R. Trotta, Mon. Not. R. Astron. Soc. 378, 72 (2007). astro-ph/0504022
P. Mukherjee, D.R. Parkinson, A.R. Liddle, Astrophys. J. 638, L51 (2006). astro-ph/0508461
P. Mukherjee, D.R. Parkinson, P.S. Corasaniti, A.R. Liddle, M. Kunz, Mon. Not. R. Astron. Soc. 369, 1725 (2006). astro-ph/0512484
M. Kunz, R. Trotta, D.R. Parkinson, Phys. Rev. D 74, 023503 (2006). astro-ph/0602378
R. Trotta, Mon. Not. R. Astron. Soc. 378, 819 (2007). astro-ph/0703063
P. Marshall, N. Rajguru, A. Slosar, Phys. Rev. D 73, 067302 (2006). astro-ph/0412535
J. Skilling, http://www.inference.phy.cam.ac.uk/bayesys/
B. Feng, X.L. Wang, X.M. Zhang, Phys. Lett. B 607, 35 (2005). astro-ph/0404224
M.Z. Li, B. Feng, X.M. Zhang, J. Cosmol. Astropart. Phys. 0512, 002 (2005). hep-th/0503268
Author information
Authors and Affiliations
Corresponding author
Rights 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
Received:
Revised:
Published:
Issue Date:
DOI: https://doi.org/10.1140/epjc/s10052-009-0876-7