Reconstructing the growth index $γ$ with Gaussian Processes
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arXiv
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| Main Authors: | , , , , |
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| Format: | Preprint |
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2023
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| _version_ | 1866910520789958656 |
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| author | Oliveira, Fernanda Avila, Felipe Bernui, Armando Bonilla, Alexander Nunes, Rafael C. |
| author_facet | Oliveira, Fernanda Avila, Felipe Bernui, Armando Bonilla, Alexander Nunes, Rafael C. |
| contents | Alternative cosmological models have been proposed to alleviate the tensions reported in the concordance cosmological model, or to explain the current accelerated phase of the universe. One way to distinguish between General Relativity and modified gravity models is using current astronomical data to measure the growth index $γ$, a parameter related to the growth of matter perturbations, which behaves differently in different metric theories. We propose a model independent methodology for determining $γ$, where our analyses combine diverse cosmological data sets, namely $\{ f(z_i) \}$, $\{ [fσ_8](z_i) \}$, and $\{ H(z_i) \}$, and use Gaussian Processes, a non-parametric approach suitable to reconstruct functions. This methodology is a new consistency test for $γ$ constant. Our results show that, for the redshift interval $0 < z < 1$, $γ$ is consistent with the constant value $γ= 0.55$, expected in General Relativity theory, within $2 σ$ confidence level (CL). Moreover, we find $γ(z=0)$ = 0.311 $\pm 0.144 $ and $γ(z=0) = 0.609 \pm 0.200$ for the reconstructions using the $\{ f(z_i) \}$ and $\{ [fσ_8](z_i) \}$ data sets, respectively, values that also agree at a 2$σ$ CL with $γ= 0.55$. Our methodology and analyses can be considered as an alternative approach in light of the current discussion in the literature that suggests a possible evidence for the growth index evolution. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2311_14216 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Reconstructing the growth index $γ$ with Gaussian Processes Oliveira, Fernanda Avila, Felipe Bernui, Armando Bonilla, Alexander Nunes, Rafael C. Cosmology and Nongalactic Astrophysics Alternative cosmological models have been proposed to alleviate the tensions reported in the concordance cosmological model, or to explain the current accelerated phase of the universe. One way to distinguish between General Relativity and modified gravity models is using current astronomical data to measure the growth index $γ$, a parameter related to the growth of matter perturbations, which behaves differently in different metric theories. We propose a model independent methodology for determining $γ$, where our analyses combine diverse cosmological data sets, namely $\{ f(z_i) \}$, $\{ [fσ_8](z_i) \}$, and $\{ H(z_i) \}$, and use Gaussian Processes, a non-parametric approach suitable to reconstruct functions. This methodology is a new consistency test for $γ$ constant. Our results show that, for the redshift interval $0 < z < 1$, $γ$ is consistent with the constant value $γ= 0.55$, expected in General Relativity theory, within $2 σ$ confidence level (CL). Moreover, we find $γ(z=0)$ = 0.311 $\pm 0.144 $ and $γ(z=0) = 0.609 \pm 0.200$ for the reconstructions using the $\{ f(z_i) \}$ and $\{ [fσ_8](z_i) \}$ data sets, respectively, values that also agree at a 2$σ$ CL with $γ= 0.55$. Our methodology and analyses can be considered as an alternative approach in light of the current discussion in the literature that suggests a possible evidence for the growth index evolution. |
| title | Reconstructing the growth index $γ$ with Gaussian Processes |
| topic | Cosmology and Nongalactic Astrophysics |
| url | https://arxiv.org/abs/2311.14216 |