Research PaperNo Access

Cosmic expansion with curved dark energy cosmology: Inevitability of cosmic doomsday

Chayanika Rabha

https://orcid.org/0000-0002-1720-2130

Department of Physics, Gauhati University, Gopinath Bordoloi Nagar, Guwahati, 781014, Assam, India

E-mail Address: [email protected]

Search for more papers by this author

and

Sanjeev Kalita

Department of Physics, Gauhati University, Gopinath Bordoloi Nagar, Guwahati, 781014, Assam, India

E-mail Address: [email protected]

Search for more papers by this author

https://doi.org/10.1142/S0218271821500486Cited by:1 (Source: Crossref)

Abstract

In this work, we have constructed deceleration–acceleration and future evolution of cosmic expansion with curved dynamical dark energy models. Closed and open spatial curvatures are calculated by assuming that dark energy density does not exceed 85% of the closure density and by obtaining lower bounds on the ratio of dark energy to matter density, in terms of equation of state of dark energy. The range of transition epoch $z_{t} \approx (0.55 - 0.8)$ realized for spatial curvature $- 0.1 < Ω_{k (0)} < 0.1$ is consistent with model independent estimations coming from galactic ages, strong lensing, Type Ia supernovae and recent constraints coming from $H_{0}$ measurements in non-flat dynamical dark energy models. Two novel parametrizations of dark energy equation of state namely the logarithmic and oscillatory, which are singularity free at future point $z \to - 1$ are used to study the deceleration parameter q(z). Irrespective of spatial curvature, cosmic doomsday has been found inevitable for both the parametrizations. The time evolution of logarithmic parametrization, being reminiscent of a quintom field (canonical $+$ phantom), is converted into dynamics of a canonical quintessence and a phantom field for the redshift range ( $z_{t}$ , $z \approx 10$ ) and ( $z_{t}$ , $z \to - 1$ ). It is found that irrespective of spatial curvature, the quintessence component becomes sub-dominant in future giving it’s way to the phantom component.

Keywords:

References

1. P. J. E. Peebles and B. Ratra , Rev. Mod. Phys. 75 (2003) 559. Crossref, Web of Science, ADS, Google Scholar
2. V. Sahni , Class. Quantum Grav. 19 (2002) 3435. Crossref, Web of Science, ADS, Google Scholar
3. V. Sahni, arXiv:astro-ph/0502032. Google Scholar
4. V. Sahni and A. A. Starobinsky , Int. J. Mod. Phys. D 9 (1999) 373. Link, Web of Science, ADS, Google Scholar
5. S. Capozziello, V. F. Cardone and A. Troisi , Phys. Rev. D 71 (2005) 043503. Crossref, Web of Science, ADS, Google Scholar
6. S. Capozziello and M. D. Laurentis , Phys. Rep. 509 (2011) 167. Crossref, Web of Science, ADS, Google Scholar
7. K. Freese and M. Lewis , Phys. Lett. B 540 (2002) 1. Crossref, Web of Science, ADS, Google Scholar
8. A. Nicolis, R. Rattazzi and E. Trincherini , Phys. Rev. D 79 (2009) 064036. Crossref, Web of Science, ADS, Google Scholar
9. S. Nojiri and S. D. Odintsov , Phys. Rep. 505 (2011) 59. Crossref, Web of Science, ADS, Google Scholar
10. S. Nojiri, S. Odintsov and V. Oikonomou , Phys. Rep. 692 (2017) 1. Crossref, Web of Science, ADS, Google Scholar
11. G. Dvali, G. Gabadadze and M. Porrati , Phys. Lett. B 485 (2000) 208. Crossref, Web of Science, ADS, Google Scholar
12. P. A. R. Ade et al., Astron. Astrophys. 594 (2016) A13. Crossref, Web of Science, ADS, Google Scholar
13. C. Blake et al., Mon. Not. R. Astron.Soc. 425 (2012) 405. Crossref, Web of Science, ADS, Google Scholar
14. L. Anderson et al., Mon. Not. R. Astron. Soc. 441 (2014) 24. Crossref, Web of Science, ADS, Google Scholar
15. L. Anderson et al., Mon. Not. R. Astron. Soc. 427 (2012) 3435. Crossref, Web of Science, ADS, Google Scholar
16. M. Betoule et al., Astron. Astrophys. 568 (2014) A22. Crossref, Web of Science, ADS, Google Scholar
17. S. Perlmutter et al., Astrophys. J. 483 (1997) 565. Crossref, Web of Science, ADS, Google Scholar
18. A. G. Riess et al., Astron. J. 116 (1998) 1009. Crossref, Web of Science, ADS, Google Scholar
19. D. Parkinson et al., Phys. Rev. D 86 (2012) 103518. Crossref, Web of Science, ADS, Google Scholar
20. S. Perlmutter et al., Astrophys. J. 517 (1999) 565. Crossref, Web of Science, ADS, Google Scholar
21. A. G. Riess et al., Astrophys. J. 659 (2007) 98. Crossref, Web of Science, ADS, Google Scholar
22. O. Farooq and B. Ratra , Astrophys. J. 766 (2013) L7. Crossref, Web of Science, ADS, Google Scholar
23. O. Farooq, D. Mania and B. Ratra , Astrophys. J. 764 (2013) 138. Crossref, Web of Science, ADS, Google Scholar
24. N. Rani, D. Jain, S. Mahajan, A. Mukherjee and N. Pires , J. Cosmol. Astropart. Phys. 2015 (2015) 045. Crossref, Web of Science, Google Scholar
25. O. Farooq, F. R. Madiyar, S. Crandall and B. Ratra , Astrophys. J. 835 (2017) 26. Crossref, Web of Science, ADS, Google Scholar
26. J. Lu, L. Xu and M. Liu , Phys. Lett. B 699 (2011) 246. Crossref, Web of Science, ADS, Google Scholar
27. R. Giostri, M. V. dos Santos, I. Waga, R. Reis, M. Calvao and B. Lago , J. Cosmol. Astropart. Phys. 2012 (2012) 027. Crossref, Web of Science, Google Scholar
28. J. Lima, J. Jesus, R. Santos and M. Gill, arXiv:1205.4688. Google Scholar
29. A. G. Riess et al., Astrophys. J. 826 (2016) 56. Crossref, Web of Science, ADS, Google Scholar
30. A. G. Riess et al., Astrophys. J. 861 (2018) 126. Crossref, Web of Science, ADS, Google Scholar
31. A. G. Riess , Nature Rev. Phys. 2 (2020) 10. Crossref, ADS, Google Scholar
32. V. Bonvin et al., Mon. Not. R. Astron. Soc. 465 (2016) 4914. Crossref, Web of Science, ADS, Google Scholar
33. A. J. Shajib et al., Mon. Not. R. Astron. Soc. 494 (2020) 6072. Crossref, Web of Science, ADS, Google Scholar
34. R. R. Caldwell, R. Dave and P. J. Steinhardt , Phys. Rev. Lett. 80 (1998) 1582. Crossref, Web of Science, ADS, Google Scholar
35. C. Wetterich , Space Sci. Rev. 100 (2002) 195. Crossref, Web of Science, ADS, Google Scholar
36. P. J. Steinhardt , Philos. Trans. R. Soc. London. A: Math, Phys Eng. Sci. 361 (2003) 2497. Crossref, Web of Science, ADS, Google Scholar
37. R. R. Caldwell, M. Kamionkowski and N. N. Weinberg , Phys. Rev. Lett. 91 (2003) 071301. Crossref, Web of Science, ADS, Google Scholar
38. Z.-K. Guo, Y.-S. Piao, X. Zhang and Y.-Z. Zhang , Phys. Lett. B 608 (2005) 177. Crossref, Web of Science, ADS, Google Scholar
39. M. Setare and E. Saridakis , Phys. Rev. D 79 (2009) 043005. Crossref, Web of Science, ADS, Google Scholar
40. G. Hinshaw et al., Astrophys. J. Suppl. Ser. 208 (2013) 19. Crossref, Web of Science, ADS, Google Scholar
41. J.-P. Dai, Y. Yang and J.-Q. Xia , Astrophys. J. 857 (2018) 9. Crossref, Web of Science, ADS, Google Scholar
42. A. R. Liddle and M. Cortes , Phys. Rev. Lett. 111 (2013) 111302. Crossref, Web of Science, ADS, Google Scholar
43. N. Aghanim et al., Astron. Astrophys. A 641 (2020) 6. Google Scholar
44. E. D. Valentino, A. Melchiorri and J. Silk , Nature Astron. (2019) 1. Web of Science, Google Scholar
45. J. Ryan, Y. Chen and B. Ratra , Mon. Not. R. Astron. Soc. 488 (2019) 3844. Crossref, Web of Science, ADS, Google Scholar
46. B. Wang, J.-Z. Qi, J.-F. Zhang and X. Zhang , Astrophys. J. 898 (2020) 100. Crossref, Web of Science, ADS, Google Scholar
47. K. Bolejko, arXiv:1707.01800. Google Scholar
48. K. Bolejko , Phys. Rev. D 97 (2018) 103529. Crossref, Web of Science, ADS, Google Scholar
49. A. Velasquez-Toribio and A. dos R. Magnago , Eur. Phys. J. C 80 (2020) 1. Crossref, Web of Science, Google Scholar
50. S. Chakraborty, S. Pan and S. Saha , Phys. Lett. B 738 (2014) 424. Crossref, Web of Science, ADS, Google Scholar
51. J. R. Gott III and T. S. Statler , Phys. Lett. B 136 (1984) 157. Crossref, Web of Science, ADS, Google Scholar
52. J.-Z. Ma and X. Zhang , Phys. Lett. B 699 (2011) 233. Crossref, Web of Science, ADS, Google Scholar
53. R. Holanda, R. Gonãǧalves, J. Gonzalez and J. Alcaniz , J. Cosmol. Astropart. Phys. 2019 (2019) 032. Crossref, Web of Science, Google Scholar
54. M. Chevallier and D. Polarski , Int. J. Mod. Phys. D 10 (2001) 213. Link, Web of Science, ADS, Google Scholar
55. E. V. Linder , Phys. Rev. Lett. 90 (2003) 091301. Crossref, Web of Science, ADS, Google Scholar
56. J. Virey, D. Talon-Esmieu, A. Ealet, P. Taxil and A. Tilquin , J. Cosmol. Astropart. Phys. 2008 (2008) 008. Crossref, Web of Science, Google Scholar
57. J.-P. Uzan, U. Kirchner and G. F. Ellis , Mon. Not. R. Astron. Soc. 344 (2003) L65. Crossref, Web of Science, ADS, Google Scholar
58. G. Efstathiou , Mon. Not. R. Astron. Soc. 343 (2003) L95. Crossref, Web of Science, ADS, Google Scholar
59. J.-Q. Xia, B. Feng and X. Zhang , Mod. Phys. Lett. A 20 (2005) 2409. Link, Web of Science, ADS, Google Scholar
60. M. Li, B. Feng and X. Zhang , J. Cosmol. Astropart. Phys. 2005 (2005) 002. Crossref, Web of Science, Google Scholar
61. Y.-F. Cai, T. Qiu, J.-Q. Xia, H. Li and X. Zhang , Phys. Rev. D 79 (2009) 021303. Crossref, Web of Science, ADS, Google Scholar
62. Y.-F. Cai, E. N. Saridakis, M. R. Setare and J.-Q. Xia , Phys. Rep. 493 (2010) 1. Crossref, Web of Science, ADS, Google Scholar