Dynamics of Bianchi Type-III Universe with Time-Varying Deceleration Parameter in f (G) Gravity

Nihir Basumatary; Mukunda Dewri

doi:10.17485/IJST/v16i48.1095

Article

Dynamics of Bianchi Type-III Universe with Time-Varying Deceleration Parameter in f (G) Gravity

VIEWS 135
PDF 50

Indian Journal of Science and Technology

DOI: 10.17485/IJST/v16i48.1095

Year: 2023, Volume: 16, Issue: 48, Pages: 4721-4733

Original Article

Dynamics of Bianchi Type-III Universe with Time-Varying Deceleration Parameter in f (G) Gravity

Nihir Basumatary^1*, Mukunda Dewri¹

¹Department of Mathematical Sciences, Bodoland University, Kokrajhar, BTR, 783370, Assam, India

*Corresponding Author
Email: [email protected]

Received Date:09 May 2023, Accepted Date:22 November 2023, Published Date:30 December 2023

This work is licensed under a Creative Commons Attribution 4.0 International License.

Abstract

Objectives: To explore Bianchi type-III cosmological models in gravity theory with time-varying deceleration parameters. Methods: In this paper, to get the exact solution of the field equation in the presence of perfect fluid, we consider: (i) the relation that shear scalar is proportional to the expansion scalar , resulting in . (ii) time-varying deceleration parameter, suggested by Dewri 1, indicating an accelerated expansion of the universe. (iii) the power-law model, which is compatible with the recent observational data. Also, along with the graphical representation, the geometrical and physical aspects are examined. Findings: In this study, the model transit from the early decelerating phase to the present accelerating phase , and in support of that, violation of the strong energy condition with negative pressure is observed, ultimately indicating the presence of the dark energy. It is worthwhile to mention that the contribution of dark energy initially lies in the phantom domain . After a period of time, it extends to the quintessence domain and later approaches to cold dark matter (CDM) model at a late time. Novelty: The universe's evolution has been explored in the framework of gravity, identifying the cosmological parameters of the model obtained in this work. The negative pressure and the falling of strong energy conditions suggest its consistency with the recent cosmological observation of the dark energy universe, and the findings of this study may contribute to a deeper comprehension of the universe's accelerated expansion.

Keywords: f ( G) gravity, Bianchi typeIII, Time-varying deceleration, Dark energy, Power-law

References

Dewri M. Ray JR, Sharma SS., eds. Recent Review and Research in Physics. (Vol. 4, pp. 1-107) New Delhi, India. AkiNik Publications. 2023.
SN, Odintsov SD. Modified Gauss–Bonnet theory as gravitational alternative for dark energy. Physics Letters B. 2005;631(1-2):1–6. Available from: https://doi.org/10.1016/j.physletb.2005.10.010
Shamir MF. Anisotropic cosmological models in f (G) gravity. Astrophysics and Space Science. 2016;361(4). Available from: https://doi.org/10.1007/s10509-016-2736-x
Shamir MF. Dark-energy cosmological models in f(G) gravity. Journal of Experimental and Theoretical Physics. 2016;123(4):607–616. Available from: https://doi.org/10.1134/S1063776116110182
Taser D, Dog̃ru MU. Scalar fields in f(G) gravity. International Journal of Geometric Methods in Modern Physics. 2020;17(09). Available from: https://doi.org/10.1142/S0219887820501327
Shaikh AY, Gore SV, Katore SD. Holographic Dark Energy Cosmological Models in f(G) Theory. New Astronomy. 2020;80:101420. Available from: https://doi.org/10.1016/j.newast.2020.101420
Shekh SH, Katore SD, Chirde VR, Raut SV. Signature flipping of isotropic homogeneous space-time with holographic dark energy in f(G) gravity. New astronomy. New Astronomy. 2021;84:101535. Available from: https://doi.org/10.1016/j.newast.2020.101535
Bhatti MZ, Yousaf Z, Khadim A. Dynamical analysis of self-gravitating stars in modified Gauss-Bonnet gravity. Physical Review D. 2020;101(10). Available from: https://doi.org/10.1103/PhysRevD.101.104029
Bhatti MZ, Yousaf Z, Rehman A. Cylindrical Gravastar Like-Structures in f(G) Gravity. Galaxies. 2022;10(2):1–13. Available from: https://doi.org/10.3390/galaxies10020040
Yousaf Z, Bhatti MZ, Khan S. Non-static charged complex structures in f(G,T2) gravity. The European Physical Journal Plus. 2022;137. Available from: https://doi.org/10.1140/epjp/s13360-022-02480-6
Yousaf Z, Bhatti MZ, Khan S, Sahoo PK. f(G,T_αβ T^αβ) theory and complex cosmological structures. Physics of the Dark Universe. 2022;36:101015. Available from: https://doi.org/10.1016/j.dark.2022.101015
Yousaf Z, Bhatti MZ, Nasir MMM. Role of f(G) gravity in the study of non-static complex systems. Canadian Journal of Physics. 2022;100(3):185–192. Available from: https://doi.org/10.1139/cjp-2021-0328
Munyeshyaka A, Ntahompagaze J, Mutabazi T. Cosmological perturbations in f(G) gravity. International Journal of Modern Physics D. 2021;30(07). Available from: https://doi.org/10.1142/S021827182150053X
Vinutha T, Kavya KS. Dynamics of Bianchi cosmological model in Rn gravity. Results in Physics. 2021;23:1–10. Available from: https://doi.org/10.1016/j.rinp.2021.103863
Pawar DD, Shahare SP. Dynamics of tilted Bianchi type-III cosmological model in f(R, T) gravity. Journal of Astrophysics and Astronomy. 2019;40(4):1–7. Available from: https://doi.org/10.1007/s12036-019-9598-x
Tiwari RK, Beesham A, Shukla BK. Time varying deceleration parameter in f(R, T) gravity: a general case. Afrika Matematika. 2021;32(5-6):983–994. Available from: https://doi.org/10.1007/s13370-021-00874-w
Basumatary D, Dewri M. Magnetized Bianchi Model with Time-dependent Deceleration Parameter. Indian Journal Of Science And Technology. 2022;15(35):1703–1711. Available from: https://doi.org/10.17485/IJST/v15i35.1000
Mete VG, Mule KR, Ingle VM. Bianchi Type-III Charged Fluid Universe in Brans-Dicke Theory of Gravitation. International Journal of Scientific Research in Physics and Applied Sciences. 2018;6(5):57–61. Available from: https://doi.org/10.26438/ijsrpas/v6i5.5761
Raju KD, Aditya Y, Rao VUM, Reddy DRK. Bianchi type-III dark energy cosmological model with massive scalar meson field. Astrophysics and Space Science. 2020;365(2). Available from: https://doi.org/10.1007/s10509-020-03753-1
Malik A, Ahmed S, Mahmood S. Some bianchi type cosmological models in f(R, ϕ) gravity. New Astronomy. 2020;81:101418. Available from: https://doi.org/10.1016/j.newast.2020.101418
Tiwari RK, Mishra SK, Mishra SK, Sofuoğglu D. Time Varying Deceleration Parameter in f (R, T) Gravity. Journal of Applied Mathematics and Physics. 2021;9(5):847–855. Available from: https://doi.org/10.4236/jamp.2021.95057
Shaikh AY, Wankhade KS. Panorama Behaviors of Holographic Dark Energy Models in Modified Gravity. Foundations of Physics. 2021;51(3). Available from: https://doi.org/10.1007/s10701-021-00463-8
Koussour M, Shekh SH, Bennai M. Bianchi type-I Barrow holographic dark energy model in symmetric teleparallel gravity. International Journal of Modern Physics A. 2022;37(28n29). Available from: https://doi.org/10.1142/S0217751X22501846
Koussour M, Bennai M. Accelerating Universe scenario in anisotropic f (Q) cosmology. Chinese Journal of Physics. 2022;79:339–347. Available from: https://doi.org/10.1016/j.cjph.2022.09.002

Copyright

© 2023 Basumatary & Dewri. This is an open-access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited. Published By Indian Society for Education and Environment (iSee)