From Hubble to Snap Parameters: A Gaussian Process Reconstruction
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arXiv
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| Auteurs principaux: | , , , |
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| Format: | Preprint |
| Publié: |
2022
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| _version_ | 1866913210393690112 |
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| author | Jesus, J. F. Benndorf, D. Pereira, S. H. Escobal, A. A. |
| author_facet | Jesus, J. F. Benndorf, D. Pereira, S. H. Escobal, A. A. |
| contents | By using recent $H(z)$ and SNe Ia data, we reconstruct the evolution of kinematic parameters $H(z)$, $q(z)$, jerk and snap, using a model-independent, non-parametric method, namely, the Gaussian Processes. Throughout the present analysis, we have allowed for a spatial curvature prior, based on Planck 18 [1] constraints. In the case of SNe Ia, we modify a python package (GaPP) [2] in order to obtain the reconstruction of the fourth derivative of a function, thereby allowing us to obtain the snap from comoving distances. Furthermore, using a method of importance sampling, we combine $H(z)$ and SNe Ia reconstructions in order to find joint constraints for the kinematic parameters. We find for the current values of the parameters: $H_0 =67.2 \pm 6.2$ km/s/Mpc, $q_0 = -0.60^{+0.21}_{-0.18}$, $j_0=0.90^{+0.75}_{-0.65}$, $s_0=-0.57^{+0.52}_{-0.31}$ at 1$σ$ c.l. We find that these reconstructions are compatible with the predictions from flat $Λ$CDM model, at least for 2$σ$ confidence intervals. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2212_12346 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | From Hubble to Snap Parameters: A Gaussian Process Reconstruction Jesus, J. F. Benndorf, D. Pereira, S. H. Escobal, A. A. Cosmology and Nongalactic Astrophysics By using recent $H(z)$ and SNe Ia data, we reconstruct the evolution of kinematic parameters $H(z)$, $q(z)$, jerk and snap, using a model-independent, non-parametric method, namely, the Gaussian Processes. Throughout the present analysis, we have allowed for a spatial curvature prior, based on Planck 18 [1] constraints. In the case of SNe Ia, we modify a python package (GaPP) [2] in order to obtain the reconstruction of the fourth derivative of a function, thereby allowing us to obtain the snap from comoving distances. Furthermore, using a method of importance sampling, we combine $H(z)$ and SNe Ia reconstructions in order to find joint constraints for the kinematic parameters. We find for the current values of the parameters: $H_0 =67.2 \pm 6.2$ km/s/Mpc, $q_0 = -0.60^{+0.21}_{-0.18}$, $j_0=0.90^{+0.75}_{-0.65}$, $s_0=-0.57^{+0.52}_{-0.31}$ at 1$σ$ c.l. We find that these reconstructions are compatible with the predictions from flat $Λ$CDM model, at least for 2$σ$ confidence intervals. |
| title | From Hubble to Snap Parameters: A Gaussian Process Reconstruction |
| topic | Cosmology and Nongalactic Astrophysics |
| url | https://arxiv.org/abs/2212.12346 |