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Department of Mathematics, Jadavpur University, Kolkata, West Bengal 700032, India

and

Subenoy Chakraborty

https://orcid.org/0000-0002-3881-8022

Department of Mathematics, Jadavpur University, Kolkata, West Bengal 700032, India

E-mail Address: [email protected]

Corresponding author.

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https://doi.org/10.1142/S0217751X23501944Cited by:0 (Source: Crossref)

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Abstract

In this work, we consider two modified Chevallier–Polarski–Linder (CPL) models in the background of homogeneous and isotropic Friedmann–Lemaître–Robertson–Walker (FLRW) space–time, namely, (i) the generalized CPL model (Model I) and (ii) the logarithmic form of the equation of state for the dark energy. From the observational data sets $((Pantheon +) + BAO + HST)$ , we find that at the present epoch (redshift $z = 0$ ), the equation of state for the dark energy converges almost at the same value $ω_{fld} \approx - 0.86$ and the variation of $ω_{fld} (z)$ with respect to the redshift parameter is very small for both models. We also find that the present value of the Hubble parameter $H_{0}$ is almost same for both the models. Finally, we compare the models in the light of Akaike Information Criterion (AIC), Bayesian Information Criterion (BIC) and Bayesian evidence. However, we find that Model II is better compared to Model I from the estimated value of the deceleration parameter.

Keywords:

PACS: 98.80.-k, 95.36.+x

References

1. A. Conley et al., Astrophys. J. Suppl. Ser. 192, 1 (2010). Crossref, Web of Science, Google Scholar
2. J. Guillochon, J. Parrent, L. Z. Kelley and R. Margutti , Astrophys. J. 835, 64 (2017). Crossref, Web of Science, ADS, Google Scholar
3. P. A. R. Ade et al., Astron. Astrophys. 571, A1 (2014). Crossref, Web of Science, Google Scholar
4. R. Adam et al., Astron. Astrophys. 594, A1 (2016). Web of Science, Google Scholar
5. P. A. R. Ade et al., Astron. Astrophys. 594, A13 (2016). Crossref, Web of Science, ADS, Google Scholar
6. N. Aghanim et al., Astron. Astrophys. 594, A11 (2016). Crossref, Web of Science, Google Scholar
7. S. Alam et al., Mon. Not. R. Astron. Soc. 470, 2617 (2017). Crossref, Web of Science, ADS, Google Scholar
8. A. J. Ross, L. Samushia, C. Howlett, W. J. Percival, A. Burden and M. Manera , Mon. Not. R. Astron. Soc. 449, 835 (2015). Crossref, Web of Science, ADS, Google Scholar
9. G. Hinshaw, D. Larson, E. Komatsu, D. N. Spergel, C. L. Bennett, J. Dunkley, M. R. Nolta, M. Halpern, R. S. Hill, N. Odegard, L. Page, K. M. Smith, J. L. Weiland, B. Gold, N. Jarosik, A. Kogut, M. Limon, S. S. Meyer, G. S. Tucker, E. Wollack and E. L. Wright , Astrophys. J. Suppl. Ser. 208, 19 (2013). Crossref, Web of Science, ADS, Google Scholar
10. D. H. Weinberg, M. J. Mortonson, D. J. Eisenstein, C. Hirata, A. G. Riess and E. Rozo , Phys. Rep. 530, 87 (2013). Crossref, Web of Science, ADS, Google Scholar
11. O. Avsajanishvili, L. Samushia, N. A. Arkhipova and T. Kahniashvili, arXiv:1511.09317. Google Scholar
12. T. Clifton, P. G. Ferreira, A. Padilla and C. Skordis , Phys. Rep. 513, 1 (2012). Crossref, Web of Science, ADS, Google Scholar
13. E. N. Saridakis et al., Modified Gravity and Cosmology: An Update by the CANTATA Network ( Springer, 2021). Crossref, Google Scholar
14. S. Nojiri and S. D. Odintsov , Phys. Rev. D 74, 086005 (2006). Crossref, Web of Science, ADS, Google Scholar
15. E. V. Linder, Phys. Rev. D 81, 127301 (2010) [Erratum-ibid. 82, 109902 (2010)]. Google Scholar
16. T. Harko, F. S. N. Lobo, G. Otalora and E. N. Saridakis , J. Cosmol. Astropart. Phys. 12, 021 (2014). Crossref, Web of Science, ADS, Google Scholar
17. S. Capozziello and M. De Laurentis , Phys. Rep. 509, 167 (2011). Crossref, Web of Science, ADS, Google Scholar
18. A. De Felice and S. Tsujikawa , Living Rev. Relativ. 13, 3 (2010). Crossref, Web of Science, ADS, Google Scholar
19. V. Sahni and A. Starobinsky , Int. J. Mod. Phys. D 15, 2105 (2006). Link, Web of Science, ADS, Google Scholar
20. H. K. Jassal, J. S. Bagla and T. Padmanabhan , Mon. Not. R. Astron. Soc. 356, L11 (2005). Crossref, Web of Science, ADS, Google Scholar
21. Y. Wang, V. Kostov, K. Freese, J. A. Frieman and P. Gondolo , J. Cosmol. Astropart. Phys. 12, 3 (2004). Crossref, Web of Science, ADS, Google Scholar
22. S. Lee , Phys. Rev. D 71, 123528 (2005). Crossref, Web of Science, ADS, Google Scholar
23. E. Mörtsell and S. Dhawan , J. Cosmol. Astropart. Phys. 9, 025 (2018). Crossref, Web of Science, ADS, Google Scholar
24. W. Yang, S. Pan, E. Di Valentino, E. N. Saridakis and S. Chakraborty , Phys. Rev. D 99, 043543 (2019). Crossref, Web of Science, ADS, Google Scholar
25. B. P. Abbott et al., Phys. Rev. Lett. 116, 061102 (2016). Crossref, Web of Science, ADS, Google Scholar
26. B. P. Abbott et al., Phys. Rev. Lett. 116, 221101 2016 [Erratum-ibid. 121, 129902 (2018)]. Google Scholar
27. P. J. E. Peebles and B. Ratra , Rev. Mod. Phys. 75, 559 (2003). Crossref, Web of Science, ADS, Google Scholar
28. J. S. Farnes , Astron. Astrophys. 620, A92 (2018). Crossref, Web of Science, ADS, Google Scholar
29. G. Efstathiou, W. J. Sutherland and S. J. Maddox , Nature 348, 705 (1990). Crossref, Web of Science, ADS, Google Scholar
30. M. Membrado and A. F. Pacheco , Astron. Astrophys. 567, A37 (2014). Crossref, Web of Science, Google Scholar
31. R. R. Caldwell , Phys. Lett. B 545, 23 (2002). Crossref, Web of Science, ADS, Google Scholar
32. J. Hao and X. Li , Phys. Rev. D 68, 043501 (2003). Crossref, Web of Science, ADS, Google Scholar
33. G. W. Gibbons, arXiv:hep-th/0302199. Google Scholar
34. T. Padmanabhan , Phys. Rev. D 66, 021301 (2002). Crossref, Web of Science, ADS, Google Scholar
35. S. Sen and T. R. Seshadri , Int. J. Mod. Phys. D 12, 445 (2003). Link, Web of Science, ADS, Google Scholar
36. C. Rubano and P. Scudellaro , Gen. Relativ. Gravit. 34, 307 (2002). Crossref, Web of Science, ADS, Google Scholar
37. S. A. Bludman and M. Roos , Phys. Rev. D 65, 043503 (2002). Crossref, Web of Science, ADS, Google Scholar
38. L. P. Chimento and A. Feinstein , Mod. Phys. Lett. A 19, 761 (2004). Link, Web of Science, ADS, Google Scholar
39. R. J. Scherrer , Phys. Rev. Lett. 93, 011301 (2004). Crossref, Web of Science, ADS, Google Scholar
40. M. Chevallier and D. Polarski , Int. J. Mod. Phys. D 10, 213 (2001). Link, Web of Science, ADS, Google Scholar
41. E. V. Linder , Phys. Rev. Lett. 90, 091301 (2003). Crossref, Web of Science, ADS, Google Scholar
42. T. Brinckmann and J. Lesgourgues , Phys. Dark Universe 24, 100260 (2019). Crossref, Web of Science, ADS, Google Scholar
43. D. Scolnic et al., Astrophys. J. 938, 113 (2022). Crossref, Web of Science, ADS, Google Scholar
44. H. Gil-Marin et al., Mon. Not. R. Astron. Soc. 498, 2492 (2020). Crossref, Web of Science, ADS, Google Scholar
45. X. D. Jia, J. P. Hu and F. Y. Wang , Astron. Astrophys. 674, A45 (2023). Crossref, Web of Science, Google Scholar
46. P. Carter, F. Beutler, W. J. Percival, C. Blake, J. Koda and A. J. Ross , Mon. Not. R. Astron. Soc. 481, 2371 (2018). Crossref, Web of Science, ADS, Google Scholar
47. J. E. Bautista et al., Mon. Not. R. Astron. Soc. 500, 736 (2020). Crossref, Web of Science, ADS, Google Scholar
48. R. Neveux et al., Mon. Not. Roy. Astron. Soc. 499, 210 (2020). Crossref, Web of Science, ADS, Google Scholar
49. A. G. Riess, L. Macri, S. Casertano, H. Lampeitl, H. C. Ferguson, A. V. Filippenko, S. W. Jha, W. Li and R. Chornock , Astrophys. J. 730, 119 (2011). Crossref, Web of Science, ADS, Google Scholar
50. N. Aghanim et al., Astron. Astrophys. 641, A6 (2020) [Erratum-ibid. 652, C4 (2021)]. Google Scholar
51. G. Sardar, A. Bose and S. Chakraborty , Eur. Phys. J. C 83, 41 (2023). Crossref, Web of Science, ADS, Google Scholar
52. P. Mukherjee and N. Banerjee , Eur. Phys. J. C 81, 36 (2021). Crossref, Web of Science, ADS, Google Scholar
53. A. Al Mamon and K. Bamba , Eur. Phys. J. C 78, 862 (2018). Crossref, Web of Science, ADS, Google Scholar
54. H. Akaike , IEEE Trans. Autom. Control 19, 716 (1974). Crossref, Web of Science, ADS, Google Scholar
55. G. Schwarz , Ann. Stat. 6, 461 (1978). Crossref, Web of Science, ADS, Google Scholar
56. K. P. Burnham and D. R. Anderson , Model Selection and Multimodel Inference: A Practical Information-Theoretic Approach ( Springer, New York, 2007). Google Scholar
57. K. P. Burnham and D. R. Anderson , Sociol. Methods Res. 33, 261 (2004). Crossref, Web of Science, Google Scholar
58. F. K. Anagnostopoulos, S. Basilakos and E. N. Saridakis , Phys. Lett. B 822, 136634 (2021). Crossref, Web of Science, Google Scholar
59. A. R. Liddle , Mon. Not. R. Astron. Soc. 377, L74 (2007). Crossref, Web of Science, ADS, Google Scholar
60. F. K. Anagnostopoulos, S. Basilakos and E. N. Saridakis , Eur. Phys. J. C 80, 826 (2020). Crossref, Web of Science, ADS, Google Scholar
61. R. Trotta , Mon. Not. R. Astron. Soc. 378, 72 (2007). Crossref, Web of Science, ADS, Google Scholar
62. A. Heavens, Y. Fantaye, A. Mootoovaloo, H. Eggers, Z. Hosenie, S. Kroon and E. Sellentin, arXiv:1704.03472. Google Scholar