标题： 在宇宙学中限制曲率密度参数 显示英文标题

标题： Constraining the curvature density parameter in cosmology

摘要： 宇宙曲率密度参数在本研究中独立于任何背景宇宙学模型被约束。 重构是采用非参数高斯过程（GP）进行的。 通过马尔可夫链蒙特卡罗（MCMC）分析获得了对$\Omega_{k0}$的约束。 晚期宇宙学探针，即超新星（SN）距离模数数据、宇宙时钟（CC）和径向重子声学振荡（$r$BAO）的哈勃数据测量已被用于此目的。 结果进一步结合了来自红移空间畸变（RSD）的数据，该数据研究了宇宙大尺度结构的增长。 唯一的\textit{事前}假设是宇宙是均匀且各向同性的，由FLRW度规描述。 结果表明，在背景数据的重构域$0<z<2$内，空间平坦的宇宙在 2$\sigma$范围内与观测结果高度一致。 在结合RSD数据时，我们发现结果在重建域$0<z<2$内主要在2$\sigma$范围内与空间平坦性一致，并且总是在3$\sigma$范围内。 显示英文摘要

摘要： The cosmic curvature density parameter has been constrained in the present work independent of any background cosmological model. The reconstruction is performed adopting the non-parametric Gaussian Processes (GP). The constraints on $\Omega_{k0}$ are obtained via a Markov Chain Monte Carlo (MCMC) analysis. Late-time cosmological probes viz., the Supernova (SN) distance modulus data, the Cosmic Chronometer (CC) and the radial Baryon Acoustic Oscillations ($r$BAO) measurements of the Hubble data have been utilized for this purpose. The results are further combined with the data from redshift space distortions (RSD) which studies the growth of large scale structure in the universe. The only \textit{a priori} assumption is that the universe is homogeneous and isotropic, described by the FLRW metric. Results indicate that a spatially flat universe is well consistent in 2$\sigma$ within the domain of reconstruction $0<z<2$ for the background data. On combining the RSD data we find that the results obtained are consistent with spatial flatness mostly within 2$\sigma$ and always within 3$\sigma$ in the domain of reconstruction $0<z<2$.