ΛCDM type Heckmann–Schuking model and Union 2.1 compilation


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Abstract

We study a ΛCDM type cosmological model in Heckmann-Schucking space-time, by using 287 high redshift (.3 ≤ z ≤ 1.4) SN Ia data on observed absolute magnitude along with their possible error from Union 2.1 compilation. We use the χ2 test to compare Union 2.1 compilation observed data and the corresponding theoretical values of the apparent magnitude (m). It is found that the best fit value of (Ωm)0, (ΩΛ)0 and (Ωσ)0 are 0.2940, 0.7058 and 0.0002, respectively, and the derived model represents the features of an accelerating universe which is consistent with the recent astrophysical observations.

About the authors

G. K. Goswami

Department of Mathematics

Author for correspondence.
Email: gk_goswami@yahoo.co.in
India, Bhilai, 490006

R. N. Dewangan

Department of Mathematics

Email: abanilyadav@yahoo.co.in
India, Bhilai, 490006

Anil Kumar Yadav

Department of Physics

Author for correspondence.
Email: abanilyadav@yahoo.co.in
India, Greater Noida, 201306

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