Reconstruction of the dark energy scalar field potential by Gaussian process
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arXiv
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| Auteurs principaux: | , , , |
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| Format: | Preprint |
| Publié: |
2023
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| _version_ | 1866912011476008960 |
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| author | Niu, Jing Jiao, Kang He, Peng Zhang, Tong-Jie |
| author_facet | Niu, Jing Jiao, Kang He, Peng Zhang, Tong-Jie |
| contents | Dark energy is believed to be responsible for the acceleration of the universe. In this paper, we reconstruct the dark energy scalar field potential $V(ϕ)$ using the Hubble parameter $H(z)$ through Gaussian Process analysis. Our goal is to investigate dark energy using various $H(z)$ datasets and priors. We find that the selection of prior and the $H(z)$ dataset significantly affects the reconstructed $V(ϕ)$. And we compare two models, Power Law and Free Field, to the reconstructed $V(ϕ)$ by computing the reduced chi-square. The results suggest that the models are generally in agreement with the reconstructed potential within a $3σ$ confidence interval, except in the case of Observational $H(z)$ data (OHD) with the Planck 18 (P18) prior. Additionally, we simulate $H(z)$ data to measure the effect of increasing the number of data points on the accuracy of reconstructed $V(ϕ)$. We find that doubling the number of $H(z)$ data points can improve the accuracy rate of reconstructed $V(ϕ)$ by 5$\%$ to 30$\%$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2305_04752 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Reconstruction of the dark energy scalar field potential by Gaussian process Niu, Jing Jiao, Kang He, Peng Zhang, Tong-Jie Cosmology and Nongalactic Astrophysics Dark energy is believed to be responsible for the acceleration of the universe. In this paper, we reconstruct the dark energy scalar field potential $V(ϕ)$ using the Hubble parameter $H(z)$ through Gaussian Process analysis. Our goal is to investigate dark energy using various $H(z)$ datasets and priors. We find that the selection of prior and the $H(z)$ dataset significantly affects the reconstructed $V(ϕ)$. And we compare two models, Power Law and Free Field, to the reconstructed $V(ϕ)$ by computing the reduced chi-square. The results suggest that the models are generally in agreement with the reconstructed potential within a $3σ$ confidence interval, except in the case of Observational $H(z)$ data (OHD) with the Planck 18 (P18) prior. Additionally, we simulate $H(z)$ data to measure the effect of increasing the number of data points on the accuracy of reconstructed $V(ϕ)$. We find that doubling the number of $H(z)$ data points can improve the accuracy rate of reconstructed $V(ϕ)$ by 5$\%$ to 30$\%$. |
| title | Reconstruction of the dark energy scalar field potential by Gaussian process |
| topic | Cosmology and Nongalactic Astrophysics |
| url | https://arxiv.org/abs/2305.04752 |