International Journal of Mathematics Trends and Technology
Volume 69 | Issue 1 | Year 2023 | Article Id. IJMTT-V69I1P501 | DOI : https://doi.org/10.14445/22315373/IJMTT-V69I1P501
| Received | Revised | Accepted | Published |
|---|---|---|---|
| 12 Nov 2022 | 20 Dec 2022 | 02 Jan 2023 | 14 Jan 2023 |
Bianchi type-VIII string cosmological model in the presence of magnetic field in general relativity is investigated. We assume that the current is flowing along x-axis so magnetic field is in the yz- plane. Thus F23 is the at most surviving constituent of electromagnetic field tensor Fij. For the complete deterministic of the model, we assume that 𝜎 ∝ 𝛳 which leads to 𝐴 = 𝐵 𝑛 where A and B are the metric potentials and n is constant; σ is the scalar shear tensor and 𝛳 is the expansion in the model. The general solution of the Einstein’s field equations for the cosmological model have been obtained under the assumption ρ - 𝜆 = 0 where ρ and 𝜆 are the rest energy density and string tension density of fluid, respectively. The physical and geometrical characteristics of the model in the presence of magnetic field are discussed.
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Dhirendra Chhajed, Ankita Choudhary, Atul Tyagi, "Bianchi Type-VIII String Cosmological Model in the Presence of Magnetic Field in General Relativity," International Journal of Mathematics Trends and Technology (IJMTT), vol. 69, no. 1, pp. 1-7, 2023. Crossref, https://doi.org/10.14445/22315373/IJMTT-V69I1P501
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