Magnetized Bianchi Model with Time-dependent Deceleration Parameter

Derphungshar Basumatary; Mukunda Dewri

doi:10.17485/IJST/v15i35.1000

Article

Magnetized Bianchi Model with Time-dependent Deceleration Parameter

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Indian Journal of Science and Technology

DOI: 10.17485/IJST/v15i35.1000

Year: 2022, Volume: 15, Issue: 35, Pages: 1703-1711

Original Article

Magnetized Bianchi Model with Time-dependent Deceleration Parameter

Derphungshar Basumatary^1*, Mukunda Dewri¹

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

*Corresponding Author
Email: [email protected]

Received Date:09 May 2022, Accepted Date:31 July 2022, Published Date:07 September 2022

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

Abstract

Objectives: To investigate the Bianchi Type-III cosmological model in the presence of a magnetic field using the time-dependent deceleration parameter in Sen-Dunn scalar-tensor theory. Methods: In this work, we approach a Bianchi type-III metric with the presence of a magnetic field in the energymomentum tensor. The time-dependent deceleration parameter representing an accelerated expansion proposed by Banerjee and Das (Gen. Relativ. Gravit. 37:10, 2005)is applied to obtain the exact solution of the field equations. Also, to obtain a deterministic solution considering shear scalar proportional to scalar expansion resulting inB=Cb . Furthermore, taking the power law relation between the scalar field and the average scale factor, the model’s following physical and geometrical properties are computed and discussed with the present observational data. Findings:The model is anisotropic, expanding, shearing, and non-rotating with increasing volume as time tends to infinity from zero volume at t = 0. The model approves an accelerating universe under the LCDM model. Novelty: The study provides a better comprehension of cosmic evolution within the Sen-Dunn scalar-tensor gravitational theory context. The model demonstrates its consistency with the cosmological observation.

Keywords: Bianchi type III metric; Electromagnetic field; Deceleration parameter; SenDunn theory; LCDM mode

References

Zia R, Sharma UK, Maurya DC. Transit two-fluid models in anisotropic Bianchi type-III space-time. New Astronomy. 2019;72:83–91. Available from: https://doi.org/10.1016/j.newast.2019.04.003
Srivastava S, Sharma UK, Pradhan A. New holographic dark energy in bianchi- III universe with k-essence. New Astronomy. 2019;68:57–64. Available from: https://doi.org/10.1016/j.newast.2018.11.002
Dixit A, Sharma UK, Pradhan A. Tsallis holographic dark energy in FRW universe with time varying deceleration parameter. New Astronomy. 2019;73:101281. Available from: https://doi.org/10.1016/j.newast.2019.101281
Santhi MV, Sobhanbabu Y. Bianchi type-III Tsallis holographic dark energy model in Saez–Ballester theory of gravitation. The European Physical Journal C. 2020;80(12):1198. Available from: https://doi.org/10.1140/epjc/s10052-020-08743-9
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):45. Available from: https://doi.org/10.1007/s10509-020-03753-1
Dixit A, Singhal S, Zeyauddin M. Model for Modified Holographic Ricci Dark Energy in Gravitation Theory of Branc Dicke. Walailak Journal of Science and Technology (WJST). 2021;18(3):6986. Available from: https://doi.org/10.48048/wjst.2021.6986
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):31. Available from: https://doi.org/10.1007/s12036-019-9598-x
Korunur M. Tsallis holographic dark energy in Bianchi type-III spacetime with scalar fields. Modern Physics Letters A. 2019;34(37):1950310. Available from: https://doi.org/10.1134/S020228932001003X
Bhardwaj VK, Rana MK. Bianchi–III Transitioning Space-Time in a Nonsingular Hybrid Universe within Lyra’s Cosmology. Gravitation and Cosmology. 2020;26(1):41–49. Available from: https://doi.org/10.1134/S020228932001003X
Baro J, Singh KP, Singh AT. Mathematical analysis on anisotropic Bianchi type-III inflationary string cosmological models in Lyra geometry. Indian Journal of Science and Technology. 2021;14(1):46–54. Available from: https://doi.org/10.17485/IJST/v14i1.1705
Matravers DR, Tsagas CG. Cosmic magnetism, curvature, and the expansion dynamics. Physical Review D. 2000;62(10):103519. Available from: https://doi.org/10.1103/PhysRevD.62.103519
Ray PP, Mishra B, Tripathy SK. Dynamics of anisotropic dark energy universe embedded in one-directional magnetized fluid. International Journal of Modern Physics D. 2019;28(07):1950093. Available from: https://doi.org/10.1142/S0218271819500937
Sharma UK, Mishra AK, Pradhan A. A comparative study on Kaluza-Klein model with magnetic field in Lyra manifold and general relativity. New Astronomy. 2019;70:27–35. Available from: https://doi.org/10.1016/j.newast.2019.02.003
Hegazy EA, Rahaman F. Bianchi type VI0 cosmological model with electromagnetic field and variable deceleration parameter in general theory of relativity. Indian Journal of Physics. 2020;94(11):1847–1852. Available from: https://doi.org/10.1007/s12648-019-01614-4
Banerjee N, Das S. Acceleration of the universe with a simple trigonometric potential. General Relativity and Gravitation. 2005;37(10):1695–1703. Available from: https://doi.org/10.1007/s10714-005-0152-6
Sen DK, Dunn KA. A Scalar‐Tensor Theory of Gravitation in a Modified Riemannian Manifold. Journal of Mathematical Physics. 1971;12(4):578–586. Available from: https://doi.org/10.1063/1.1665623
Pradhan A, Tiwari RK, Beesham A, Zia R. LRS Bianchi type-I cosmological models with accelerated expansion in f(R, T) gravity in the presence of Lambda(T) The European Physical Journal Plus. 2019;134(5):229. Available from: https:// doi.10.1140/epjp/i2019-12583-4
Mishra RK, Chand A. Cosmological models in Sáez-Ballester theory with bilinear varying deceleration parameter. Astrophysics and Space Science. 2020;365(4):76. Available from: https://doi.org/10.1007/s10509-020-03790-w
Alam MK, Singh SS. Interacting anisotropic dark energy with time dependent inhomogeneous equation of state. International Journal of Nonlinear Analysis and Applications. 2021;12:2167–2180. Available from: https://doi10.22075/IJNAA.2021.6076
Garg P, Pradhan A, Zeyauddin M. Roles of a periodic time varying deceleration parameter in particle creation with (d+2) dimensional FLRW Universe. New Astronomy. 2022;95:101821. Available from: https://doi.org/10.1016/j.newast.2022.101821
Collins CB, Glass EN, Wilkinson DA. Exact spatially homogeneous cosmologies. General Relativity and Gravitation. 1980;12(10):805–823. Available from: https://dx.doi.org/10.1007/bf00763057
Sahni V, Saini TD, Starobinsky AA, Alam U. Statefinder—A new geometrical diagnostic of dark energy. Journal of Experimental and Theoretical Physics Letters. 2003;77(5):201–206. Available from: https://doi.org/10.1134/1.1574831
Tiwari RK, Beesham A. Anisotropic model with decaying cosmological term. Astrophysics and Space Science. 2018;363(11):243. Available from: https://doi.org/10.1007/s10509-018-3456-1
Basumatay D, Dewri M. Bianchi Type-<i>VI</i><sub>0</sub> Cosmological Model with Special Form of Scale Factor in Sen-Dunn Theory of Gravitation. Journal of Scientific Research. 2021;13(1):137–143. Available from: https://doi.org/10.3329/jsr.v13i1.48479

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© 2022 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)