标题： $Λ$-CDM 类型 Heckmann - Suchuking 模型和联合 2.1 编译 显示英文标题

标题： $Λ$-CDM type Heckmann - Suchuking model and union 2.1 compilation

摘要： 在本文中，我们研究了 Heckmann-Schucking 时空中的$\Lambda$CDM 类宇宙模型，利用了来自 Union 2.1 数据集的 287 个高红移 ($ .3 \leq z \leq 1.4$) SN Ia 观测绝对星等及其可能的误差。我们使用了$\chi^{2}$检验来比较 Union 2.1 数据集的观测数据和对应的有效星等$(m)$的理论值。 发现$(\Omega_{m})_0$、$(\Omega_{\Lambda})_0$和$(\Omega_{\sigma})_0$的最佳拟合值分别为$0.2940$、$0.7058$和$0.0002$，所导出的模型体现了加速宇宙的特征，这与最近的天体物理观测结果一致。 显示英文摘要

摘要： In this paper, we have investigated $\Lambda$CDM type cosmological model in Heckmann-Schucking space-time, by using 287 high red shift ($ .3 \leq z \leq 1.4$ ) SN Ia data of observed absolute magnitude along with their possible error from Union 2.1 compilation. We have used $\chi^{2}$ test to compare Union 2.1 compilation observed data and corresponding theoretical values of apparent magnitude $(m)$. It is found that the best fit value for $(\Omega_{m})_0$, $(\Omega_{\Lambda})_0$ and $(\Omega_{\sigma})_0$ are $0.2940$, $0.7058$ and $0.0002$ respectively and the derived model represents the features of accelerating universe which is consistent with recent astrophysical observations.