Chin. Phys. Lett.  2023, Vol. 40 Issue (1): 019801    DOI: 10.1088/0256-307X/40/1/019801
GEOPHYSICS, ASTRONOMY, AND ASTROPHYSICS |
Latest Data Constraint of Some Parameterized Dark Energy Models
Jing Yang, Xin-Yan Fan, Chao-Jun Feng*, and Xiang-Hua Zhai*
Division of Mathematica and Theoretical Physics, Shanghai Normal University, Shanghai 200234, China
Cite this article:   
Jing Yang, Xin-Yan Fan, Chao-Jun Feng et al  2023 Chin. Phys. Lett. 40 019801
Download: PDF(2795KB)   PDF(mobile)(2798KB)   HTML
Export: BibTeX | EndNote | Reference Manager | ProCite | RefWorks
Abstract Using various latest cosmological datasets including type-Ia supernovae, cosmic microwave background radiation, baryon acoustic oscillations, and estimations of the Hubble parameter, we test some dark-energy models with parameterized equations of state and try to distinguish or select observation-preferred models. We obtain the best fitting results of the six models and calculate their values of the Akaike information criteria and Bayes information criterion. We can distinguish these dark energy models from each other by using these two information criterions. However, the $\varLambda $CDM model remains the best fit model. Furthermore, we perform geometric diagnostics including statefinder and $Om$ diagnostics to understand the geometric behavior of the dark energy models. We find that the six dark-energy models can be distinguished from each other and from $\varLambda $CDM, Chaplygin gas, quintessence models after the statefinder and $Om$ diagnostics are performed. Finally, we consider the growth factor of the dark-energy models with comparison to the $\varLambda $CDM model. Still, we find the models can be distinguished from each other and from the $\varLambda $CDM model through the growth factor approximation.
Received: 30 September 2022      Published: 14 December 2022
PACS:  98.80.-k (Cosmology)  
  98.80.Es (Observational cosmology (including Hubble constant, distance scale, cosmological constant, early Universe, etc))  
  97.60.Bw (Supernovae)  
TRENDMD:   
URL:  
https://cpl.iphy.ac.cn/10.1088/0256-307X/40/1/019801       OR      https://cpl.iphy.ac.cn/Y2023/V40/I1/019801
Service
E-mail this article
E-mail Alert
RSS
Articles by authors
Jing Yang
Xin-Yan Fan
Chao-Jun Feng
and Xiang-Hua Zhai
[1] Perlmutter S et al. [Supernova Cosmology Project] 1999 Astrophys. J. 517 565
[2] Riess A G et al. [Supernova Search Team] 1998 Astron. J. 116 1009
[3] Tegmark M et al. [SDSS] 2004 Phys. Rev. D 69 103501
[4] Seljak U et al. [SDSS] 2005 Phys. Rev. D 71 103515
[5] Bennett C L et al. [WMAP] 2003 Astrophys. J. Suppl. 148 1
[6] Spergel D N et al. [WMAP] 2007 Astrophys. J. Suppl. 170 377
[7] Spergel D N et al. [WMAP] 2003 Astrophys. J. Suppl. 148 175
[8] Ade P A R et al. [Planck] 2011 Astron. Astrophys. 536 A14
[9] Ade P A R et al. [Planck] 2011 Astron. Astrophys. 536 A1
[10] Ade P A R et al. [Planck] 2011 Astron. Astrophys. 536 A2
[11]Nojiri S and Odintsov S D 2006 Int. J. Geometr. Methods Mod. Phys. 04 115
[12] De Felice A and Tsujikawa S 2010 Living Rev. Relativ. 13 3
[13] Capozziello S and De Laurentis M 2011 Phys. Rep. 509 167
[14] Cai Y F, Capozziello S, De Laurentis M, and Saridakis E N 2016 Rept. Prog. Phys. 79 106901
[15] Carroll S M 2001 Living Rev. Relativ. 4 1
[16] Peebles P J E and Ratra B 2003 Rev. Mod. Phys. 75 559
[17] Bartelmann M 2010 Rev. Mod. Phys. 82 331
[18]Sahni V 2004 Lecture Notes in Physics (Berlin: Springer) vol 653 p 141
[19] Copeland E J, Sami M, and Tsujikawa S 2006 Int. J. Mod. Phys. D 15 1753
[20] Li M, Li X D, Wang S, and Wang Y 2011 Commun. Theor. Phys. 56 525
[21] Li M, Li X D, Wang S, and Wang Y 2013 Front. Phys. 8 828
[22] Frieman J, Turner M, and Huterer D 2008 Ann. Rev. Astron. Astrophys. 46 385
[23] Straumann N 2006 Mod. Phys. Lett. A 21 1083
[24] Weinberg S 2000 arXiv: astro-ph/0005265
[25] Guo Z K and Zhang Y Z 2005 Phys. Rev. D 71 023501
[26]Guo Z K, Cai R G, and Zhang Y Z 2005 J. Cosmol. Astropart. Phys. 2005(05) 002
[27] Guo Z K, Ohta N, and Tsujikawa S 2007 Phys. Rev. D 76 023508
[28] Yang T, Guo Z K, and Cai R G 2015 Phys. Rev. D 91 123533
[29] Ratra B and Peebles P J E 1988 Phys. Rev. D 37 3406
[30] Zlatev I, Wang L M, and Steinhardt P J 1999 Phys. Rev. Lett. 82 896
[31] Brax P and Martin J 2000 Phys. Rev. D 61 103502
[32] Barreiro T, Copeland E J, and Nunes N J 2000 Phys. Rev. D 61 127301
[33] Garriga J and Mukhanov V F 1999 Phys. Lett. B 458 219
[34] Caldwell R R 2002 Phys. Lett. B 545 23
[35] Caldwell R R, Kamionkowski M, and Weinberg N N 2003 Phys. Rev. Lett. 91 071301
[36] Sol̀a J and Štefančić H 2005 Phys. Lett. B 624 147
[37] Roy N, Goswami S, and Das S 2022 Phys. Dark Univ. 36 101037
[38] Yang W, Pan S, Di Valentino E, Saridakis E N, and Chakraborty S 2019 Phys. Rev. D 99 043543
[39] Özer M and Taha M O 1987 Nucl. Phys. B 287 776
[40] Abdel-Rahman A M M 1990 Gen. Rel. Gravit. 22 655
[41] Vishwakarma R G, A, and Beesham A 1999 Phys. Rev. D 60 063507
[42] Vishwakarma R G 2001 Gen. Rel. Gravit. 33 1973
[43] A and Prajapati S R 2011 Chin. Phys. Lett. 28 029803
[44] Pacif S K J and A 2014 Eur. Phys. J. Plus 129 244
[45] Mamon A A 2018 Mod. Phys. Lett. A 33 1850113
[46] Rezaei M, Malekjani M, and Sola J 2019 Phys. Rev. D 100 023539
[47] Alam U, Sahni V, Saini T D, and Starobinsky A A 2004 Mon. Not. Roy. Astron. Soc. 354 275
[48] Alam U, Sahni V, and Starobinsky A A 2004 J. Cosmol. Astropart. Phys. 2004(06) 008
[49] Daly R A and Djorgovski S G 2003 Astrophys. J. 597 9
[50] Daly R A and Djorgovski S G 2004 Astrophys. J. 612 652
[51] Gong Y G 2012 Int. J. Mod. Phys. D 14 599
[52]Jonsson J, Goobar A, Amanullah R, and Bergstrom L 2004 J. Cosmol. Astropart. Phys. 2004(09) 007
[53] Alam U, Sahni V, Saini T D, and Starobinsky A A 2004 arXiv:astro-ph/0406672 [astro-ph]
[54] Weller J and Albrecht A 2001 Phys. Rev. Lett. 86 1939
[55] Huterer D and Turner M S 2001 Phys. Rev. D 64 123527
[56] Weller J and Albrecht A 2002 Phys. Rev. D 65 103512
[57] Astier P 2001 Phys. Lett. B 500 8
[58] Chevallier M and Polarski D 2001 Int. J. Mod. Phys. D 10 213
[59] Linder E V 2003 Phys. Rev. Lett. 90 091301
[60] Choudhury T R and Padmanabhan T 2005 Astron. Astrophys. 429 807
[61] Feng B, Wang X L, and Zhang X M 2005 Phys. Lett. B 607 35
[62] Gong Y G 2005 Class. Quantum Grav. 22 2121
[63] Gong Y G and Zhang Y Z 2005 Phys. Rev. D 72 043518
[64] Yang W, Pan S, Di Valentino E, and Saridakis E N 2019 Universe 5 219
[65] Escamilla L A, and Vazquez J A 2021 arXiv:2111.10457 [astro-ph.CO]
[66]Jassal H K, Bagla J S, and Padmanabhan T 2005 Mon. Not. Roy. Astron. Soc. 356 L11
[67]Feng C J, Shen X Y, Li P, and Li X Z 2012 J. Cosmol. Astropart. Phys. 2012(09) 023
[68] Perković D and Štefančić H 2020 Eur. Phys. J. C 80 629
[69] Pacif S K J 2020 Eur. Phys. J. Plus 135 792
[70] Scolnic D M et al. [Pan-STARRS1] 2018 Astrophys. J. 859 101
[71] Betoule M et al. [SDSS] 2014 Astron. Astrophys. 568 A22
[72] Gao C, Chen Y, and Zheng J 2020 Res. Astron. Astrophys. 20 151
[73] Xu T, Chen Y, Xu L, and Cao S 2022 Phys. Dark Univ. 36 101023
[74] Aghanim N et al. [Planck] 2020 Astron. Astrophys. 641 A5
[75] Beutler F, Blake C, Colless M, Jones D H, Staveley-Smith L, Campbell L, Parker Q, Saunders W, and Watson F 2011 Mon. Not. Roy. Astron. Soc. 416 3017
[76] Ross A J, Samushia L, Howlett C, Percival W J, Burden A M M 2015 Mon. Not. Roy. Astron. Soc. 449 835
[77] Chuang C H et al. [BOSS] 2017 Mon. Not. Roy. Astron. Soc. 471 2370
[78]Sharov G S and Vasiliev V O 2018 Math. Model. Geom. 6 1
[79]Akaike H 1974 IEEE Trans. Automat. Control 19 716
[80] Schwarz G 1978 Ann. Statist. 6 461
[81] Guo Z K, Piao Y S, Zhang X M, and Zhang Y Z 2005 Phys. Lett. B 608 177
[82] Guo Z K, Piao Y S, Zhang X M, and Zhang Y Z 2006 Phys. Rev. D 74 127304
[83] Kass R E and Raftery A E 1995 J. Am. Statist. Assoc. 90 773
[84] Xu Y Y and Zhang X 2016 Eur. Phys. J. C 76 588
[85] Rezaei M 2019 Mon. Not. Roy. Astron. Soc. 485 550
[86] Jones D O, Scolnic D M, Riess A G et al. 2018 Astrophys. J. 857 51
[87] Di Valentino E, Gariazzo S, Mena O, and Vagnozzi S 2020 J. Cosmol. Astropart. Phys. 2020(07) 045
[88] Alam U, Sahni V, Saini T D, and Starobinsky A A 2003 Mon. Not. Roy. Astron. Soc. 344 1057
[89] Sahni V, Saini T D, Starobinsky A A, and Alam U 2003 JETP Lett. 77 201
[90] Sahni V, Shafieloo A, and Starobinsky A A 2008 Phys. Rev. D 78 103502
[91] Zunckel C and Clarkson C 2008 Phys. Rev. Lett. 101 181301
[92] Starobinsky A A 1998 JETP Lett. 68 757
[93] Wang L M and Steinhardt P J 1998 Astrophys. J. 508 483
[94] Gong Y G, Ishak M, and Wang A Z 2009 Phys. Rev. D 80 023002
[95]Peebles P J E 1980 The Whole Truth: A Cosmologist's Reflections on the Search for Objective Reality (New Jersey: Princeton University Press)
[96] Fry J N 1985 Phys. Lett. B 158 211
[97] Silveira V and Waga I 1994 Phys. Rev. D 50 4890
[98] Gong Y G 2008 Phys. Rev. D 78 123010
[99] Gannouji R and Polarski D 2008 J. Cosmol. Astropart. Phys. 2008(05) 018
[100] Nesseris S and Perivolaropoulos L 2008 Phys. Rev. D 77 023504
[101] Polarski D, Starobinsky A A, and Giacomini H 2016 J. Cosmol. Astropart. Phys. 2016(12) 037
[102] Ivezić Ž, Kahn S M, Tyson J A et al. [LSST] 2019 Astrophys. J. 873 111
[103]Wu P, Yu H W, and Fu X 2009 J. Cosmol. Astropart. Phys. 2009(06) 019
[104] Jing J L and Chen S B 2010 Phys. Lett. B 685 185
[105]Bueno B A, Garcia-Bellido J, and Sapone D 2011 J. Cosmol. Astropart. Phys. 2011(10) 010
[106]Gupta G, Sen S, and Sen A A 2012 J. Cosmol. Astropart. Phys. 2012(04) 028
[107] Mehrabi A 2018 Phys. Rev. D 97 083522
[108] Velásquez-Toribio A M and Fabris J C 2020 Eur. Phys. J. C 80 1210
[109]Aghanim N, Akrami Y, Ashdown M et al. [Planck] 2020 Astron. Astrophys. 641 A6 [Erratum: Astron. Astrophys. 652 C4]
[110]Douspis M, Salvati L, and Aghanim N 2018 Proc. Sci. 335 037
[111] Poulin V, Bernal J L, Kovetz E, and Kamionkowski M 2022 arXiv:2209.06217 [astro-ph.CO]
[112] Escudero H G, Kuo J L, Keeley R E, and Abazajian K N 2022 arXiv:2208.14435 [astro-ph.CO]
Related articles from Frontiers Journals
[1] Jun Wang, Li-Jia Cao. Gravitational constant in f(R) theories of gravity with non-minimal coupling between matter and geometry[J]. Chin. Phys. Lett., 2018, 35(12): 019801
[2] Ya-Bo Wu, Xue Zhang, Bo-Hai Chen, Nan Zhang, Meng-Meng Wu. Energy Conditions and Constraints on the Generalized Non-Local Gravity Model[J]. Chin. Phys. Lett., 2017, 34(7): 019801
[3] D. Aberkane, N. Mebarki, S. Benchikh. Viscous Modified Chaplygin Gas in Classical and Loop Quantum Cosmology[J]. Chin. Phys. Lett., 2017, 34(6): 019801
[4] Jie An, Bao-Rong Chang, Li-Xin Xu. Cosmic Constraints to the $w$CDM Model from Strong Gravitational Lensing[J]. Chin. Phys. Lett., 2016, 33(07): 019801
[5] He-Kun Li, Pu-Xun Wu, Hong-Wei Yu. Test of the Cosmic Transparency with the Baryon Acoustic Oscillation and Type Ia Supernova Data[J]. Chin. Phys. Lett., 2016, 33(05): 019801
[6] Si-Yu Wu, Ya-Bo Wu, Yue-Yue Zhao, Xue Zhang, Cheng-Yuan Zhang, Bo-Hai Chen. Consistency Conditions and Constraints on Generalized $f(R)$ Gravity with Arbitrary Geometry-Matter Coupling[J]. Chin. Phys. Lett., 2016, 33(03): 019801
[7] Khurshudyan M., Pasqua A., Sadeghi J., Farahani H.. Quintessence Cosmology with an Effective Λ-Term in Lyra Manifold[J]. Chin. Phys. Lett., 2015, 32(10): 019801
[8] ZHU Wen-Tao, WU Pu-Xun, YU Hong-Wei. Constraining the Generalized and Superfluid Chaplygin Gas Models with the Sandage–Loeb Test[J]. Chin. Phys. Lett., 2015, 32(5): 019801
[9] YANG Lei, YANG Wei-Qiang, XU Li-Xin. Constraining Equation of State of Dark Matter: Including Weak Gravitational Lensing[J]. Chin. Phys. Lett., 2015, 32(5): 019801
[10] WU Ya-Bo, TONG Hai-Dan, YANG Hao, LU Jian-Bo, ZHAO Yue-Yue, LU Jun-Wang, ZHANG Xue. Reconstruction of New Holographic Chaplygin Gas Model with Viscosity[J]. Chin. Phys. Lett., 2014, 31(2): 019801
[11] Bob Osano. The Decoupling of Scalar-Modes from a Linearly Perturbed Dust-Filled Bianchi Type-I Model[J]. Chin. Phys. Lett., 2014, 31(1): 019801
[12] V. K. Shchigolev. Cosmology with an Effective Λ-Term in Lyra Manifold[J]. Chin. Phys. Lett., 2013, 30(11): 019801
[13] LI Hui, ZHANG Hong-Sheng, ZHANG Yi. A Generalized Semi-Holographic Universe[J]. Chin. Phys. Lett., 2013, 30(8): 019801
[14] WU Ya-Bo, ZHAO Yue-Yue, LU Jian-Bo, LI Jian, ZHANG Wen-Xin, CHANG Hong. The Generalized f(R) Model with Coupling in 5D Spacetime[J]. Chin. Phys. Lett., 2013, 30(6): 019801
[15] M. Farasat Shamir, Adil Jhangeer, and Akhlaq Ahmad Bhatti. Conserved Quantities in f(R) Gravity via Noether Symmetry[J]. Chin. Phys. Lett., 2012, 29(8): 019801
Viewed
Full text


Abstract