Observational study of higher dimensional magnetic universe in non-linear electrodynamics |
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| Authors: | Chayan Ranjit Shuvendu Chakraborty Ujjal Debnath |
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| Institution: | 1. Department of Mathematics, Seacom Engineering College, Howrah, 711 302, India
2. Department of Mathematics, Bengal Engineering and Science University, Shibpur, Howrah, 711 103, India
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| Abstract: | In this work, we have considered the flat FRW model of the universe in (n+2)-dimensions filled with the dark matter and the magnetic field. We present the Hubble parameter in terms of the observable parameters Ω m0 and H 0 with the redshift z and the other parameters like B 0, ω, μ 0, δ, n, w m . The natures of magnetic field B, deceleration parameter q and $\operatorname{Om}$ diagnostic have also been analyzed for accelerating expansion of the universe. From Stern data set (12 points), we have obtained the bounds of the arbitrary parameters by minimizing the χ 2 test. The best-fit values of the parameters are obtained by 66 %, 90 % and 99 % confidence levels. Now to find the bounds of the parameters (B 0,ω) and to draw the statistical confidence contour, we fixed four parameters μ 0, δ, n, w m . Here the parameter n determines the higher dimensions and we perform comparative study between three cases: 4D (n=2), 5D (n=3) and 6D (n=4) respectively. Next due to joint analysis with BAO observation, we have also obtained the bounds of the parameters (B 0,ω) by fixing other parameters μ 0, δ, n, w m for 4D, 5D and 6D. The best fit of distance modulus for our theoretical model and the Supernova Type Ia Union2 sample are drawn for different dimensions. |
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