String Viscous Fluid Cosmological Model in the Framework of Sen-Dunn Theory of Gravitation

P M Lambat; A M Pund

doi:10.17485/IJST/v17i12.134

Article

String Viscous Fluid Cosmological Model in the Framework of Sen-Dunn Theory of Gravitation

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Indian Journal of Science and Technology

DOI: 10.17485/IJST/v17i12.134

Year: 2024, Volume: 17, Issue: 12, Pages: 1189-1202

Original Article

String Viscous Fluid Cosmological Model in the Framework of Sen-Dunn Theory of Gravitation

P M Lambat^1*, A M Pund¹

¹Department of Mathematics, Shri Shivaji Education Society, Amravati’s Science College, Congress Nagar, Nagpur 440012, Maharashtra, India

*Corresponding Author
Email: [email protected]

Received Date:18 January 2024, Accepted Date:09 February 2024, Published Date:20 March 2024

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

Abstract

Objective: To present a new solution to the field equations for higher-dimensional Bianchi type-III string viscous fluid cosmological model in the context of the Sen-Dunn theory of gravity. Methods: To obtain definite solution of the field equations, we consider a power law relation between the scale factor and scalar field, and we take into account two distinct scale factors, and , in which , are positive constants. This produces a time-dependent deceleration parameter. We analyse the model with constant bulk viscosity constant to explain the current accelerated expansion of the universe. Findings: Spatial volume of the model increases with cosmic time, which shows that universe is spatially expanding. Also, the model possesses a point-type singularity. It is noted that these models depict the universe's accelerated expansion. Novelty: We obtained new solution to the field equations for higher dimensional Bianchi type-III generated by means of a cloud of strings with bulk viscous fluid in Sen-Dunn theory by using quadratic form.

Keywords: Bianchi type-III, Cosmic string, Bulk viscosity, Sen-Dunn Theory

References

Dunn KA. A scalar-tensor theory of gravitation. Journal of Mathematical Physics. 1974;15(12):2229–2231. Available from: https://doi.org/10.1063/1.1666603
Basumatay D, Dewri M. Bianchi Type-VI 0 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
Dewri M, Basumatary D. Anisotropic Bianchi Type VI 0 Dark Energy Cosmological Model for Perfect Fluid Distribution with Electromagnetic Field. SSRN Electronic Journal. 2021;p. 1–14. Available from: https://dx.doi.org/10.2139/ssrn.3977820
Daimary J, Baruah RR. Five dimensional Bianchi type-I string cosmological model with electromagnetic field. Journal of Mathematical and Computational Science. 2021;11(5):6599–6613. Available from: https://scik.org/index.php/jmcs/article/view/6267
Ramprasad T, Kiran M, Rao MPVVB. Anisotropic Magnetized Cloud String Universe with Hybrid Expansion Law. The interdisciplinary journal of Discontinuity Nonlinearity and Complexity. 2022;11(2):315–323. Available from: https://www.lhscientificpublishing.com/Journals/articles/DOI-10.5890-DNC.2022.06.010.aspx
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
KPS, Baro J. Bulk viscous fluid Bianchi type-I string cosmological model with negative constant deceleration parameter. Advances in Mathematics: Scientific Journal. 2020;9(7):4907–4916. Available from: https://doi.org/10.37418/amsj.9.7.55
Letelier PS. Clouds of strings in general relativity. Physical Review D. 1979;20(6):1294–1302. Available from: https://doi.org/10.1103/PhysRevD.20.1294
Stachel J. Thickening the string. I. The string perfect dust. Physical Review D. 1980;21(8):2171–2181. Available from: https://doi.org/10.1103/PhysRevD.21.2171
Sethi AK, Nayak B, Patra R. String Cosmological Models with Bulk Viscosity in Lyra Geometry. In: International Conference on Recent Inventions and Innovations in Mathematical Sciences , Journal of Physics: Conference Series. (Vol. 1344, pp. 1-8) IOP Publishing. 2019.
Hatkar SP, Katore SD. Anisotropic bulk viscous string cosmological models with heat flux. Journal for Foundations and Applications of Physics. 2018;5(2):92–107. Available from: http://sciencefront.org/ojs/index.php/jfap/article/view/96
Mishra RK, Dua H. Bulk viscous string cosmological models in Saez-Ballester theory of gravity. Astrophysics and Space Science. 2019;364(11). Available from: https://doi.org/10.1007/s10509-019-3689-7
Santhi MV, Rao VUM, Aditya Y. Bulk viscous string cosmological models in f(R) gravity. Canadian Journal of Physics. 2018;96(1):55–61. Available from: https://doi.org/10.1139/cjp-2017-0256
Bhoyar SR, Chirde VR, Shekh SH. Accelerating Universe with Viscous Cosmic String in Quadratic Form of Teleparallel Gravity. Journal of Scientific Research. 2019;11(3):249–262. Available from: https://doi.org/10.3329/jsr.v11i3.39220
Hegazy EA. Bulk viscous Bianchi type I cosmological model in Lyra geometry and in the general theory of relativity. Astrophysics and Space Science. 2020;365(7). Available from: https://doi.org/10.1007/s10509-020-03836-z
Trivedi D, Bhabor AK. A Higher-Dimensional LRS Bianchi Type-V String Cosmological Model in Brans-Dicke Scalar-Tensor Theory of Gravitation. International Journal of Mathematics Trends and Technology. 2021;67(2):20–28. Available from: https://doi.org/10.14445/22315373/IJMTT-V67I2P504
Dixit A, Zia R, Pradhan A. Anisotropic bulk viscous string cosmological models of the Universe under a time-dependent deceleration parameter. Pramana. 2020;94(1). Available from: https://doi.org/10.1007/s12043-019-1884-2
Mete VG, Umarkar VM, Pund AM. Higher Dimensional Plane Symmetric Cosmological Models with Two-Fluid Source in General Relativity. International Journal of Theoretical Physics. 2013;52(12):4439–4444. Available from: https://doi.org/10.1007/s10773-013-1763-4
Mollah MR, Singh KP. Behaviour of viscous fluid in string cosmological models in the framework of Lyra geometry. New Astronomy. 2021;88(1). Available from: https://doi.org/10.1016/j.newast.2021.101611
Naidu RL, Aditya Y, Raju KD, Vinutha T, Reddy DRK. Kaluza-Klein FRW dark energy models in Saez-Ballester theory of gravitation. New Astronomy. 2021;85:101564. Available from: https://doi.org/10.1016/j.newast.2020.101564

Copyright

© 2024 Lambat & Pund. 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)