Cosmological joint analysis with cosmic growth and expansion rate
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arXiv
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| Natura: | Preprint |
| Pubblicazione: |
2022
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| _version_ | 1866913491117408256 |
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| author | Niu, Jing Zhang, Tong-Jie |
| author_facet | Niu, Jing Zhang, Tong-Jie |
| contents | The measurements of expansion rate $H(z)$ and the growth rate $fσ_8(z)$ describe the evolution of the universe, and both of them can constrain the cosmological models through data analysis. Due to the lack of data points, these datasets are combined by the traditional combined method ($χ^2$ method) to select a best-fitting cosmological model. In 2017, Linder proposed a joint method, which describes the evolution of the universe through $H(z)-fσ_8$ diagram instead of the redshift z. Compared to individual datasets, Linder demonstrated the advantages of the joint method to distinguish cosmologies. In this paper, we compare the significance between the traditional combined method and Linder's joint method by constraining the density parameter $Ω_M$ using Akaike Information Criterion (AIC) and Bayesian Information Criterion (BIC). The result shows that the joint method is more significant than the traditional combined method. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2204_10597 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Cosmological joint analysis with cosmic growth and expansion rate Niu, Jing Zhang, Tong-Jie Cosmology and Nongalactic Astrophysics Data Analysis, Statistics and Probability The measurements of expansion rate $H(z)$ and the growth rate $fσ_8(z)$ describe the evolution of the universe, and both of them can constrain the cosmological models through data analysis. Due to the lack of data points, these datasets are combined by the traditional combined method ($χ^2$ method) to select a best-fitting cosmological model. In 2017, Linder proposed a joint method, which describes the evolution of the universe through $H(z)-fσ_8$ diagram instead of the redshift z. Compared to individual datasets, Linder demonstrated the advantages of the joint method to distinguish cosmologies. In this paper, we compare the significance between the traditional combined method and Linder's joint method by constraining the density parameter $Ω_M$ using Akaike Information Criterion (AIC) and Bayesian Information Criterion (BIC). The result shows that the joint method is more significant than the traditional combined method. |
| title | Cosmological joint analysis with cosmic growth and expansion rate |
| topic | Cosmology and Nongalactic Astrophysics Data Analysis, Statistics and Probability |
| url | https://arxiv.org/abs/2204.10597 |