J.F. Jesus, A.A. Escobal, R. Valentim and S.H. Pereira
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引用次数: 0
摘要
在本研究中,我们对几个宇宙学模型进行了一致性关系检验,包括平坦的和非平坦的ΛCDM模型,以及平坦的XCDM模型。分析使用了一种非参数高斯过程方法来重建各种相关的宇宙学量,比如从 H(z) 数据中重建哈勃参数 H(z) 及其导数,以及从 SNe Ia 数据中重建移动距离及其导数。我们从这些数量中构建出只在每个模型中有效的一致性关系,并用当前数据进行检验。我们能够找到一种在 H(z) 重建中构建这种一致性关系的通用方法。而在移动距离重构中,没有构建这种关系的通用方法,因此这项工作必须为每个模型编写特定的一致性关系。根据 H(z) 数据,我们分析了上述三种模型的一致性关系,而对于 SNe Ia 数据,我们只分析了平坦和非平坦ΛCDM 模型的一致性关系。关于平坦的ΛCDM模型,我们发现它在2σ c.l.以上与H(z)数据不一致、关于 SNe Ia 数据,平坦的 ΛCDM 模型在 0 < z < 2.5 的区间内与 1σ c.l. 一致,而非平坦的 ΛCDM 模型在同一区间内与 2σ c.l. 一致。
A method for obtaining cosmological models consistency relations and Gaussian Processes testing
In the present work, we apply consistency relation tests to several cosmological models, including the flat and non-flat ΛCDM models, as well as the flat XCDM model. The analysis uses a non-parametric Gaussian Processes method to reconstruct various cosmological quantities of interest, such as the Hubble parameter H(z) and its derivatives from H(z) data, as well as the comoving distance and its derivatives from SNe Ia data. We construct consistency relations from these quantities which should be valid only in the context of each model and test them with the current data. We were able to find a general method of constructing such consistency relations in the context of H(z) reconstruction. In the case of comoving distance reconstruction, there were not a general method of constructing such relations and this work had to write an specific consistency relation for each model. From H(z) data, we have analyzed consistency relations for all the three above mentioned models, while for SNe Ia data we have analyzed consistency relations only for flat and non-flat ΛCDM models. Concerning the flat ΛCDM model, some inconsistency was found, at more than 2σ c.l., with the H(z) data in the interval 1.8 ≲ z ≲ 2.4, while the other models were all consistent at this c.l. Concerning the SNe Ia data, the flat ΛCDM model was consistent in the 0 < z < 2.5 interval, at 1σ c.l., while the nonflat ΛCDM model was consistent in the same interval, at 2σ c.l.
期刊介绍:
Journal of Cosmology and Astroparticle Physics (JCAP) encompasses theoretical, observational and experimental areas as well as computation and simulation. The journal covers the latest developments in the theory of all fundamental interactions and their cosmological implications (e.g. M-theory and cosmology, brane cosmology). JCAP''s coverage also includes topics such as formation, dynamics and clustering of galaxies, pre-galactic star formation, x-ray astronomy, radio astronomy, gravitational lensing, active galactic nuclei, intergalactic and interstellar matter.