Observational Study of Higher Dimensional Magnetic Universe in Non-linear Electrodynamics

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 ${\Omega }_{m0}$ and $H_0$ with the redshift $z$ and the other parameters like $B_0,\omega ,{\mu }_0,\delta ,n,w_m$. The natures of magnetic field $B$, deceleration parameter $q$ and $Om$ 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 ${\chi }^2$ 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 ($B_0,\omega$) and to draw the statistical confidence contour, we fixed four parameters ${\mu }_0,\delta ,n,w_m$. 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 ($B_0,\omega$) by fixing other parameters ${\mu }_0,\delta ,n,w_m$ 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.

arXiv comment23 pages, 9 figures. arXiv admin note: substantial text overlap with arXiv:1211.2785

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Cited by in corpus (2)

• Parameter estimation of a nonlinear magnetic universe from observations
• Observational Constraints of Homogeneous Higher Dimensional Cosmology with Modified Chaplygin Gas