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.

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

References in corpus (8)

• New Hubble Space Telescope Discoveries of Type Ia Supernovae at z > 1: Narrowing Constraints on the Early Behavior of Dark Energy
• Improved Cosmological Constraints from New, Old and Combined Supernova Datasets
• Spectra and Light Curves of Six Type Ia Supernovae at 0.511 < z < 1.12 and the Union2 Compilation
• Two new diagnostics of dark energy
• Generalized Chaplygin gas model: constraints from Hubble parameter versus Redshift Data
• Initial and final de Sitter universes from modified $f(R)$ gravity
• Tachyon Field in Intermediate Inflation
• Closed inflationary universe with tachyonic field

Cited by in corpus (1)

• Parameter estimation of a nonlinear magnetic universe from observations