Research PaperNo Access

Exploring the dark universe: Constraints on dynamical dark energy models from CMB, BAO and growth rate measurements

Alexander Bonilla Rivera

Departamento de Física, Universidade Federal de Juiz de Fora, 36036-330, Juiz de Fora, MG, Brazil

E-mail Address: abonilla@fisica.ufjf.br

Search for more papers by this author

and

Jorge Enrique García-Farieta

Departamento de Física, Universidad Nacional de Colombia – Sede Bogotá, Carrera 45 No. 26-85, Bogotá, Colombia

E-mail Address: joegarciafa@unal.edu.co

Search for more papers by this author

https://doi.org/10.1142/S0218271819501189Cited by:24 (Source: Crossref)

Abstract

In order to explain the current acceleration of the universe, the fine-tuning problem of the cosmological constant $Λ$ $Λ$ and the cosmic coincidence problem, different alternative models have been proposed in the literature. We use the most recent observational data from CMB (Planck 2018 final data release) and LSS (SDSS, WiggleZ, VIPERS) to constrain dynamical dark energy (DE) models. The CMB shift parameter, which traditionally has been used to determine the main cosmological parameters of the standard model $Λ CDM$ $Λ CDM$ , is employed in addition to data from redshift-space distortions through the growth parameter $A (z) = f (z) σ_{8} (z)$ $A (z) = f (z) σ_{8} (z)$ to constrain the mass variance $σ_{8}$ $σ_{8}$ . BAO data are also used to study the history of the cosmological expansion and the main properties of DE. From the evolution of $q (z)$ $q (z)$ , we found a slowdown of acceleration behavior at low redshifts, and by using the Akaike and Bayesian Information Criteria (AIC, BIC), we discriminate different models to find those that are better suited to the observational data, finding that the interacting dark energy (IDE) model is the most favored by observational data, including information from SNIa and Hz. The analysis shows that the IDE model is followed closely by EDE and $Λ CDM$ $Λ CDM$ models, which in some cases fit better the observational data with individual probes.

Keywords:

PACS: 95.35.

+

$+$ d, 95.36.

+

$+$ x, 98.80.−k, 98.80.Es

You currently do not have access to the full text article.
Recommend the journal to your library today!

References

1. J. A. Frieman, M. S. Turner and D. Huterer , Annu. Rev. Astron. Astrophys. 46 (2008) 385. Crossref, Web of Science, ADS, Google Scholar
2. A. Albrecht et al., arXiv:astro-ph/0609591. Google Scholar
3. S. Weinberg , Rev. Mod. Phys. 61 (1989) 1. Crossref, Web of Science, ADS, Google Scholar
4. E. J. Copeland, M. Sami and S. Tsujikawa , Int. J. Mod. Phys. D 15 (2006) 1753, arXiv:hep-th/0603057. Link, Web of Science, ADS, Google Scholar
5. M. Chevallier and D. Polarski , Int. J. Mod. Phys. D 10 (2001) 213, arXiv: gr-qc/0009008. Link, Web of Science, ADS, Google Scholar
6. E. V. Linder , Phys. Rev. Lett. 90 (2003) 091301, arXiv:astro-ph/0311403. Crossref, Web of Science, ADS, Google Scholar
7. R. R. Caldwell, R. Dave and P. J. Steinhardt , Phys. Rev. Lett. 80 (1998) 1582, arXiv:astro-ph/9708069. Crossref, Web of Science, ADS, Google Scholar
8. B. Ratra and P. J. E. Peebles , Phys. Rev. D 37 (1988) 3406. Crossref, Web of Science, ADS, Google Scholar
9. R. R. Caldwell , Phys. Rev. Lett. B 545 (2002) 23, arXiv:astroph/9908168. Crossref, Web of Science, ADS, Google Scholar
10. T. Chiba, T. Okabe and M. Yamaguchi , Phys. Rev. Lett. D 62 (2000) 023511, arXiv:astro-ph/9912463. Crossref, Web of Science, ADS, Google Scholar
11. L. Parker and A. Raval , Phys. Rev. D 60 (1999) 063512, arXiv:gr-qc/9905031. Crossref, Web of Science, ADS, Google Scholar
12. Z. K. Guo, Y. S. Piao, X. M. Zhang and Y. Z. Zhang , Phys. Lett. B 608 (2005) 177, arXiv:astro-ph/0410654. Crossref, Web of Science, ADS, Google Scholar
13. C. Armendariz-Picon, V. Mukhanov and P. J. Steinhardt , Phys. Rev. Lett. 85 (2000) 4438, arXiv:astro-ph/0004134. Crossref, Web of Science, ADS, Google Scholar
14. C. Armendariz-Picon, V. Mukhanov and P. J. Steinhardt , Phys. Rev. D 63 (2000) 103510, arXiv:astro-ph/0006373. Crossref, Web of Science, ADS, Google Scholar
15. G. Caldera-Cabral, R. Maartens and L. A. Urena-Lopez , Phys. Rev. D 79 (2009) 063518, arXiv:0812.1827 [gr-qc]. Crossref, Web of Science, ADS, Google Scholar
16. A. G. Cohen, D. B. Kaplan and A. E. Nelson , Phys. Rev. Lett. 82 (1999) 4971, arXiv:hep-th/9803132v2. Crossref, Web of Science, ADS, Google Scholar
17. L. Susskind , J. Math. Phys. 36 (1995) 6377, arXiv:hep-th/9409089. Crossref, Web of Science, ADS, Google Scholar
18. G. ’t Hooft , Dimensional Reduction in Quantum Gravity (World Scientific, Singapore, 1993), arXiv:gr-qc/9310026. Google Scholar
19. G. ’t Hooft , The Holographic Principle (2001), arXiv:hep-th/0003004. Link, Google Scholar
20. H. Zhang, X. Z. Li and H. Noh , Phys. Lett. B 694 (2010) 177. Crossref, Web of Science, ADS, Google Scholar
21. G. R. Dvali, G. Gabadadze and M. Porrati , Phys. Lett. B 485 (2000) 208, arXiv:hep-th/0005016. Crossref, Web of Science, ADS, Google Scholar
22. M. A. García-Aspeitia, J. Magaña and T. Matos , Gen. Relativ. Gravit. 44 (2012) 581, arXiv:1102.0825v3. Crossref, Web of Science, ADS, Google Scholar
23. S. Nesseris and L. Perivolaropoulos , J. Cosmol. Astropart. Phys. 0701 (2007) 018, arXiv:astro-ph/0610092. Crossref, Web of Science, ADS, Google Scholar
24. K. Shi, Y. Huang and T. Lu , Mon. Not. R. Astron. Soc. 426 (2012) 2452, arXiv:1207.5875. Crossref, Web of Science, ADS, Google Scholar
25. H. Akaike , IEEE Trans. Autom. Control 19 (1974) 716. Crossref, Web of Science, ADS, Google Scholar
26. G. Schwarz , Ann. Stat. 6 (1978) 471. Crossref, Web of Science, Google Scholar
27. R. Durrer , The Cosmic Microwave Background (Cambridge University Press, 2008). Crossref, Google Scholar
28. E. W. Kolb and M. S. Turner , The Early Universe (Addison-Wesley, 1989). Google Scholar
29. M. White , Astropart. Phys. 24 (2005) 334. Crossref, Web of Science, ADS, Google Scholar
30. Planck Collab. (N. Aghanim et al.), arXiv:1807.06209. Google Scholar
31. Q.-G. Huang, K. Wang and S. Wang , J. Cosmol. Astropart. Phys. 12 (2015) 022. Crossref, Web of Science, ADS, Google Scholar
32. W. Hu and N. Sugiyama , Astrophys. J. 471 (1996) 542. Crossref, Web of Science, ADS, Google Scholar
33. J. R. Bond, G. Efstathiou and M. Tegmark , Mon. Not. R. Astron. Soc. 291 (1997) L33. Web of Science, ADS, Google Scholar
34. L. Chen, Q.-G. Huang and K. Wang (2018), arXiv:1808.05724. Google Scholar
35. S. Cole et al., Mon. Non. R. Astron. Soc. 362 (2005) 505. Crossref, Web of Science, ADS, Google Scholar
36. D. J. Eisenstein et al.Astrophys. J. 633 (2005) 560. Crossref, Web of Science, ADS, Google Scholar
37. B. Bassett and R. Hlozek , Baryon acoustic oscillations, in Dark Energy, ed. P. Ruiz-Lapuente (Cambridge University Press, Cambridge, UK, 2010), p. 246. Crossref, Google Scholar
38. C. Blake et al., Mon. Not. R. Astron. Soc. 415 (2011) 2892. Crossref, Web of Science, ADS, Google Scholar
39. W. J. Percival et al., Mon. Not. R. Astron. Soc. 401 (2010) 2148. Crossref, Web of Science, ADS, Google Scholar
40. D. J. Eisenstein and W. Hu , Astrophys. J. 496 (1998) 605. Crossref, Web of Science, ADS, Google Scholar
41. F. Beutler et al., Mon. Not. R. Astron. Soc. 416 (2011) 3017. Crossref, Web of Science, ADS, Google Scholar
42. L. Anderson et al., Mon. Not. R. Astron. Soc. 441 (2014) 24. Crossref, Web of Science, ADS, Google Scholar
43. A. Font-Ribera et al., J. Cosmol. Astropart. Phys. 1405 (2014) 027. Crossref, Web of Science, ADS, Google Scholar
44. S. Nesseris, C. Blake, T. Davis and D. Parkinson , J. Cosmol. Astropart. Phys. 7 (2011) 037. Crossref, Web of Science, ADS, Google Scholar
45. J.-P. Uzan (2006), arXiv:astro-ph/0605313. Google Scholar
46. H. F. Stabenau and B. Jain , Phys. Rev. D. 74 (2006) 084007. Crossref, Web of Science, ADS, Google Scholar
47. N. Suzuki et al., Astrophys. J. 746 (2012) 85, arXiv:1105.3470. Crossref, Web of Science, ADS, Google Scholar
48. X. Meng, X. Wang, S. Y. Li and T. J. Zhang, Utility of observational Hubble parameter data on dark energy evolution (2015), arXiv:1507.02517. Google Scholar
49. R. Andrae, T. Schulze-Hartung and P. Melchior, Dos and don’ts of Orangeuced chi-squaOrange, arXiv:1012.3754 [astro-ph.IM]. Google Scholar
50. A. Albrecht, L. Amendola, G. Bernstein, D. Clowe, D. Eisenstein, L. Guzzo, C. Hirata, D. Huterer, R. Kirshner, E. Kolb and R. Nichol, Findings of the joint dark energy mission figure of merit science working group (2009), arXiv:0901.0721. Google Scholar
51. L. Wolz, M. Kilbinger, J. Weller and T. Giannantonio , J. Cosmol. Astropart. Phys. 9 (2012) 009. Crossref, Web of Science, ADS, Google Scholar
52. A. R. Liddle , Mon. Not. R. Astron. Soc. 351 (2004) L49, arXiv:astro-ph/0401198v3. Crossref, Web of Science, ADS, Google Scholar
53. K. P. Burnham and D. R. Anderson , Model Selection and Multimodel Inference, Technometrics, Vol. 45 (Springer-Verlag, New York, 2003), p. 181. Google Scholar
54. E. K. Robert and E. R. Adrian , J. Ame. Stat. Assoc. 90 (1995) 773. Crossref, Google Scholar
55. D. W. Hogg , Distance Measures in Cosmology (1999), arXiv:astro-ph/9905116. Google Scholar
56. S. Perlmutter et al., Astrophys. J. 517 (1999) 565. Crossref, Web of Science, ADS, Google Scholar
57. A. G. Riess et al., Astron. J. 116 (1998) 1009. Crossref, Web of Science, ADS, Google Scholar
58. T. D. Saini, S. Raychaudhury, V. Sahni and A. A. Starobinsky , Phys. Rev. Lett. 85 (2000) 1162. Crossref, Web of Science, ADS, Google Scholar
59. M. Carmeli and T. Kuzmenko , Relativistic Astrophysics: 20th Texas Symposium, Vol. 586 (Austin, Texas, USA, 10–15 December, 2000), p. 316. Google Scholar
60. L. Amendola , Phys. Rev. D 62 (2000) 043511, arXiv:astro-ph/9908023. Crossref, Web of Science, ADS, Google Scholar
61. R.-G. Cai and A. Wang , J. Cosmol. Astropart. Phys. 0503 (2005) 002, arXiv:hep-th/0411025. Crossref, Web of Science, ADS, Google Scholar
62. N. Dalal, K. Abazajian, E. E. Jenkins and A. V. Manohar , Phys. Rev. Lett. 87 (2001) 141302, arXiv:astro-ph/0105317. Crossref, Web of Science, ADS, Google Scholar
63. Z.-K. Guo, N. Ohta and S. Tsujikawa , Phys. Rev. D 76 (2007) 023508, arXiv:astro-ph/0702015. Crossref, Web of Science, ADS, Google Scholar
64. P. J. Steinhardt, L. Wang and I. Zlatev , Phys. Rev. D. 59 (1999) 123504, arXiv:astro-ph/9812313. Crossref, Web of Science, ADS, Google Scholar
65. C. Wetterich , Nucl. Phys. B 302 (1988) 668. Crossref, Web of Science, ADS, Google Scholar
66. Doran and Robbers , J. Cosmol. Astropart. Phys. 6 (2006) 26, arXiv:astro-ph/0601544. Crossref, Web of Science, ADS, Google Scholar
67. V. Pettorino, L. Amendola and C. Wetterich , Phys. Rev. D. 87 (2013) 083009. Crossref, Web of Science, ADS, Google Scholar
68. A. Bonilla and J. Castillo , Universe 4 (2018) 21, arXiv:1711.09291. Crossref, Web of Science, ADS, Google Scholar
69. J. D. Barrow, R. Bean and J. Magueijo , Mon. Non. R. Astron. Soc. 316 (2000) L41. Crossref, Web of Science, ADS, Google Scholar
70. Y. L. Bolotin, D. A. Erokhin and O. A. Lemets , Phys. Usp. 55 (2012) A02. Crossref, Web of Science, Google Scholar
71. D. Kirkman, D. Tytler, N. Suzuki, J. M. O’Meara and D. Lubin , Astrophys. J. Suppl. 149 (2003) 1, arXiv:astro-ph/0302006. Crossref, Web of Science, ADS, Google Scholar
72. M. J. Hudson and S. J. Turnbull , Astrophys. J. Let. 715 (2012) 30. Crossref, Web of Science, Google Scholar
73. F. Beutler et al., Mon. Not. R. Astron. Soc. 423 (2012) 3430. Crossref, Web of Science, ADS, Google Scholar
74. W. J. Percival et al., Mon. Not. R. Astron. Soc. 353 (2004) 1201. Crossref, Web of Science, ADS, Google Scholar
75. C. Blake et al., Mon. Not. R. Astron. Soc. 436 (2013) 3089. Crossref, Web of Science, ADS, Google Scholar
76. A. Pezzotta et al., Astron. Astrophys. 604 (2017) A33. Crossref, Web of Science, Google Scholar
77. T. Okumura et al., Publ. Astron. Soc. Jpn. 68 (2016) 38. Crossref, Web of Science, ADS, Google Scholar
78. Y.-S. Song and W. J. Percival , J. Cosmol. Astropart. Phys. 10 (2009) 004. Crossref, Web of Science, ADS, Google Scholar
79. L. Samushia, W. J. Percival and A. Raccanelli, arXiv:1102.1014. Google Scholar
80. B. A. Reid et al., Mon. Not. R. Astron. Soc. 426 (2012) 2719. Crossref, Web of Science, ADS, Google Scholar
81. R. Tojeiro et al., Mon. Not. R. Astron. Soc. 424 (2012) 2339. Crossref, Web of Science, ADS, Google Scholar
82. S. Kumar, R. C. Nunes and S. K. Yadav, arXiv:1903.04865. Google Scholar