Research PaperNo Access

Institute of Graduate Education, Çanakkale Onsekiz Mart University, Çanakkale 17020, Türkiye

and

Can Aktaş

https://orcid.org/0000-0002-0603-7862

Department of Mathematics, Faculty of Science, Çanakkale Onsekiz Mart University, Çanakkale 17020, Türkiye

E-mail Address: canaktas@comu.edu.tr

Corresponding author.

Search for more papers by this author

https://doi.org/10.1142/S021773232450202XCited by:0 (Source: Crossref)

Abstract

In this study, we investigated quintessence and tachyon field dark energy (DE) models for the inhomogeneous and anisotropic Ruban universe in $f (R, T)$ $f (R, T)$ gravitation theory. We utilized the Hubble parameter in the field equations as $\frac{β}{\sqrt{t + α}}$ $\frac{β}{\sqrt{t + α}}$ for the solutions. Since DE candidates are classified according to the $\frac{p}{ρ}$ $\frac{p}{ρ}$ values of the EoS parameter $ω$ $ω$ , we obtained the p and $ρ$ $ρ$ solutions for each DE candidate and analyzed the scalar field (SF) and scalar potential solution. We also talked about the model’s physical characteristics and parameters with the help of a various of graphics for redshift z and cosmic time t. Additionally, the statefinder parameters, which are essential tools for distinguishing various dark energy models, have been explored.

Keywords:

PACS: 04.50.kd, 04.20.

-

$-$ q, 04.20.Jb, 98.80.

-

$-$ k

References

1. A. G. Riess et al., Astron. J. 116, 1009 (1998). Crossref, Web of Science, ADS, Google Scholar
2. P. A. R. Ade et al., Astron. Astrophys. 571, A16 (2014). Crossref, Web of Science, Google Scholar
3. S. Perlmutter et al., The Astrophysical Journal 517, 565 (1999). Crossref, Web of Science, ADS, Google Scholar
4. J. Sadeghi, B. Pourhassan, A. Kubeka and M. Rostami , Int. J. Modern Phys. D 25, 1650077 (2016). Link, Web of Science, ADS, Google Scholar
5. M. Khurshudyan, B. Pourhassan and A. Pasqua , Can. J. Phys. 93, 449 (2015). Crossref, Web of Science, ADS, Google Scholar
6. A. Ditta, G. Mustafa, S. Maurya, D. Sofuoğlu and A. Mahmood , Class. Quantum Grav. (2024). Web of Science, Google Scholar
7. B. Pourhassan and P. Rudra , Phys. Rev. D 101, 084057 (2020). Crossref, Web of Science, ADS, Google Scholar
8. T. Harko, F. S. N. Lobo, S. Nojiri and S. D. Odintsov , Phys. Rev. D 84, 024020 (2011). Crossref, Web of Science, ADS, Google Scholar
9. Y. Feng, T. Naseer, A. Ashraf and D. Sofuoğlu , Phys. Scr. 99, 085034 (2024). Crossref, Web of Science, Google Scholar
10. P. K. Sahoo, P. Sahoo, B. K. Bishi and S. Aygün , Mod. Phys. Lett. A 32, 1750105 (2017). Link, Web of Science, ADS, Google Scholar
11. C. Aktaş and S. Aygün , Chin. J. Phys. 55, 71 (2017). Crossref, Web of Science, ADS, Google Scholar
12. C. Kömürcü and C. Aktaş , Mod. Phys. Lett. A 35, 2050263 (2020). Link, Web of Science, ADS, Google Scholar
13. S. Kalkan and C. Aktaş , Iranian J. Sci. Technol. Trans. A-Sci. 46, 1505 (2022). Crossref, Google Scholar
14. S. Kalkan and C. Aktaş , J. New Theory 37, 76 (2021). Crossref, Google Scholar
15. S. Kalkan, C. Aktaş and S. Aygün , Mod. Phys. Lett. A 37, 2250251 (2022). Link, Web of Science, ADS, Google Scholar
16. D. Sofuoğlu, R. K. Tiwari, A. Abebe, A. H. Alfedeel and E. I. Hassan , Physics 4, 1348 (2022). Crossref, Web of Science, ADS, Google Scholar
17. M. Sami and T. Padmanabhan , Phys. Rev. D 67, 083509 (2003). Crossref, Web of Science, ADS, Google Scholar
18. T. Chiba , Phys. Rev. D 66, 063514 (2002). Crossref, Web of Science, ADS, Google Scholar
19. A. Sen , J. High Energy Phys. 1999, 027 (2000). Crossref, Web of Science, Google Scholar
20. R. Caldwell , Phys. Lett. B 545, 23 (2002). Crossref, Web of Science, ADS, Google Scholar
21. A. Kamenshchik, U. Moschella and V. Pasquier , Phys. Lett. B 511, 265 (2001). Crossref, Web of Science, ADS, Google Scholar
22. A. K. Yadav and L. Yadav , Int. J. Theor. Phys. 50, 218 (2010). Crossref, Web of Science, Google Scholar
23. R. Myrzakulov, arXiv:1205.5266. Google Scholar
24. E. H. Baffou, A. V. Kpadonou, M. E. Rodrigues, M. J. S. Houndjo and J. Tossa , Astrophys. Space Sci. 356, 173 (2014). Crossref, Web of Science, ADS, Google Scholar
25. R. Potting and P. M. Sá , Int. J. Mod. Phys. D 31, 2250111 (2022). Link, Web of Science, ADS, Google Scholar
26. J. Sadeghi, B. Pourhassan and Z. Abbaspour Moghaddam , Int. J. Theor. Phys. 53, 125 (2014). Crossref, Web of Science, Google Scholar
27. M. Khurshudyan, E. Chubaryan and B. Pourhassan , Int. J. Theor. Phys. 53, 2370 (2014). Crossref, Web of Science, Google Scholar
28. C. Aktaş , Mod. Phys. Lett. A 34, 1950098 (2019). Link, Web of Science, ADS, Google Scholar
29. A. Beesham and M. S. Msweli , Int. J. Mod. Phys. D 31, 2240013 (2022). Link, Web of Science, ADS, Google Scholar
30. J.-Y. Wang, C.-J. Feng, X.-H. Zhai and X.-Z. Li, arXiv e-prints, arXiv:2003.05657 (2020). Google Scholar
31. S. K. Tripathy and B. Mishra , Chin. J. Phys. 63, 448 (2020). Crossref, Web of Science, ADS, Google Scholar
32. V. K. Bhardwaj, A. Pradhan and A. Dixit , New Astron. 83, 101478 (2021). Crossref, Web of Science, Google Scholar
33. V. K. Bhardwaj and A. Pradhan , New Astron. 91, 101675 (2022). Crossref, Web of Science, Google Scholar
34. S. Arora, S. Bhattacharjee and P. K. Sahoo , New Astron. 82, 101452 (2021). Crossref, Web of Science, Google Scholar
35. M. Amet Memet and C. Aktaş , Phys. Scr. 98, 015217 (2023). Crossref, Web of Science, Google Scholar
36. V. A. Ruban , Sov. J. Exper. Theor. Phys. 29, 1027 (1969). ADS, Google Scholar
37. S. K. J. Pacif, R. Myrzakulov and S. Myrzakul , Int. J. Geom. Methods Mod. Phys. 14, 1750111 (2017). Link, Web of Science, Google Scholar
38. A. Pasqua , Astrophys. Space Sci. 346, 531 (2013). Crossref, Web of Science, ADS, Google Scholar
39. E. J. Copeland, M. Sami and S. Tsujikawa , Int. J. Mod. Phys. D 15, 1753 (2006). Link, Web of Science, ADS, Google Scholar
40. G. Gibbons , Phys. Lett. B 537, 1 (2002). Crossref, Web of Science, ADS, Google Scholar
41. U. Alam, V. Sahni, T. Deep Saini and A. A. Starobinsky , Mon. Not. Roy. Astron. Soc. 344, 1057 (2003). Crossref, Web of Science, ADS, Google Scholar
42. A. Jawad, A. Aslam and S. Rani , Int. J. Mod. Phys. D 28, 1950146 (2019). Link, Web of Science, ADS, Google Scholar
43. J. V. Cunha , Phys. Rev. D 79, 047301 (2009). Crossref, Web of Science, ADS, Google Scholar