A Study on Cosmological Model of Anisotropic Universe with Electromagnetic Field and Cloud Strings in the Frame Work of General Relativity
Published 2024-03-19
Keywords
- Bianchi type-III,
- Electromagnetic Field,
- Linearly Varying Decelerating Parameter ,
- Constant Decelerating Parameter
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Abstract
In this study, we have investigated the Bianchi type-III anisotropic cosmological model in the presence of cloud strings with the electromagnetic field in the general theory of relativity. Exact solutions of field equations are obtained using the fact that shear scalar is proportional to scalar expansion and constant decelerating parameter, which is derived from the variation law of Hubble parameter proposed by Berman(Nuovo Cimento B 74, 182 (1983))and linearly varying decelerating parameter proposed by Akarsu and Dereli(International Journal of Theoretical Physics, 51,612(2012)). The dynamics and significance of the physical parameters of the model are discussed using a graphical representation of these parameters. The dynamics and significance of the physical parameters of the models are discussed.
References
- Einstein, A., (1916), ”The Foundation of the General Theory of Relativity”, Annalen der Physik (Lpz.), Vol. 49, pp769-822.
- Hubble, E.P.(1929), “A Relation Between Distance And Radial Velocity Among Extra-Galactic Nebulae”, Proc Natl Acad Sci U S A., Vol.15, pp169-173.
- Friedmann, A. (1922),”Über die Krümmung des Raumes”, Zeitschrift fur Physik, Vol.10, pp377-386.
- Singh, T. &Chaubey(2008),”Bianchi Type-I Universe with wet dark fluid”, R.: Pramana, Vol.71, 447-458.
- Saha, B., Yadav,A.K.(2012),” Dark energy model with variable q and ω in LRS Bianchi-II space-time”, Astrophysics and Space Science,Vol. 341, pp651-656.
- Adhav, K.S., et al. (2012),”Bianchi type-VI0 cosmological models with anisotropic dark energy”, Astrophysics and Space Science, Vol. 332, pp 497–502.
- Akarsu, O., KilnicC.B.(2010),”de Sitter expansion with anisotropic fluid in Bianchi type-I space-time”, Astrophysics and Space Science,Vol. 326, pp315-322.
- Yadav, A.K.&LallanYadav.(2020), “Bianchi Type III Anisotropic Dark Energy Models with Constant Deceleration Parameter”, arXiv: 1007.1411[gr-qc].
- Pradhan, A., et al.(2012),” Dark energy models with anisotropic fluid in Bianchi Type-VI 0 space-time with time dependent deceleration parameter”, Astrophysics and Space Science,Vol.337, pp401-413.
- Letelier, P.S.(1983), “String cosmologies”, Phys. Rev. D, Part. Fields,Vol.28, pp2414.
- Tripahy, S.K., S.K.Sahu, Tusar Ranjan Routray,(2008).String cloud cosmologies for Bianchi type-III models with electromagnetic field, Astrophysics and Space Science,Vol.315, pp105-110.
- Sahoo, P. K.(2008),” Spherically symmetric cosmic strings in bimetric theory”, International Journal of Theoretical Physics, Vol. 47, pp3029-3034.
- Hegazy ,E. A., Farook Rahaman.( 2019),”Bianchi type VI0 cosmological model in self-creation theory in general relativity and Lyra geometry”, Indian J Phys, Vol.93, pp1643–1650.
- Pavon, D. et al.(1991), “Causal friedmann-robertson-walker cosmology”, Class. Quantum Gravity,Vol. 8, pp347.
- Subramanian,K. (2016),”The origin, evolution and signatures of primordial magnetic fields”, Reports on Progress in Physics, Vol.79(7),076901(47pp).
- Jimenez, J.B., Maroto, A.L.(2009), “Cosmological electromagnetic fields and dark energy”, arXiv: 0811.0566v2.
- Tripahy, S.K., S.K.Sahu, Tusar Ranjan Routray,(2008).String cloud cosmologies for Bianchi type-III models with electromagnetic field, Astrophysics and Space Science,Vol.315, pp105-110.
- Parikh, S., et al.(2018),” Lyra’s Geometry in a Bianchi Type II String Dust Cosmological Model with an Electromagnetic Field”, Prespacetime J., Vol.9(4), pp288-296.
- Grasso, D., Rubinstein, H.R.(2000), “Magnetic fields in the early Universe”,Physics Reports bf, Vol. 348(3) , pp163-266.
- Barkha R. Tripathi, Atul Tyagi, Swati Parikh.(2017), “Bianchi Type-I Inhomogeneous String Cosmological Model with Electromagnetic Field in General Relativity”, Prespacetime J., Vol.8(4), pp474-483.
- KangujamPriyokumar Singh, Mahbubur Rahman Mollah, Rajshekhar Roy Baruah, Meher Daimary.,(2020), “Interaction of Bianchi type-I anisotropic cloud string cosmological model universe with electromagnetic field”, International Journal of Geometric Methods in Modern Physics, DOI 10.1142/S0219887820501339.
- Collins,C. B. Glass, E. N. Wilkinson,D. A. (1980), “Exact spatially homogeneous cosmologies”, General Relativity and Gravitation, vol. 12, pp805–823.
- Akarsu, O. & Dereli, T. (2012), “Cosmological models with linearly varying deceleration parameter”, International Journal of Theoretical Physics, 51, pp612–621.
- Berman, M.S. (1983), “A special law of variation for Hubble's parameter”, NuovoCimento B 74, 182.
- Mahdi Kord Zangeneh and Ahmad Sheykhi.(2023), “Modified cosmology through Kaniadakis entropy”, arXiv:2311.01969 [gr-qc].
- Romanshu Garg., et al.(2023), “Cosmological model with linear equation of state parameter in f (R,Lm) gravity”, arXiv:2310.17340v1 [gr-qc] .
- R. K. Tiwari., et al.(2020), “Phase transition of LRS Bianchi type-I cosmological model in f(R, T) gravity”, International Journal of Geometric Methods in Modern Physics, Vol. 17, No. 12, 2050187 (15 pages).
- A. Pradhan and R. Jaiswal., (2018), Magnetized string cosmological models of accelerated expansion of the Universe in f(R,T) theory of gravity”, Int. J. Geom. Methods Mod. Phys. 15, ID 1850076 (2018).
- S. H. Shekh., et al.(2023), “Observational Constraints on ℱ(????, ????????) gravity with Hubble’s Parametrization”, Symmetry 2023, 15(2), 321.