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| Natura: | Preprint |
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2025
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| Accesso online: | https://arxiv.org/abs/2504.04118 |
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| _version_ | 1866915360877314048 |
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| author | Kumar, Darshan Dhankar, Praveen Kumar Ray, Saibal Zhang, Fengge |
| author_facet | Kumar, Darshan Dhankar, Praveen Kumar Ray, Saibal Zhang, Fengge |
| contents | In this study, we present constraints on the parameters of three well-known $f(R)$ gravity models, viz. (i) Hu-Sawicki, (ii) Starobinsky, and (iii) ArcTanh by using a joint analysis of recent cosmological observations. We perform analytical approximations for the Hubble parameter, $H(z)$, and cosmological distances in terms of the Hubble constant $(H_0)$, matter density $(Ω_{m0})$, and a deviation parameter $b$ for each model. {Our analysis combines early and late-universe cosmological data from five cosmological observations:} (a) Hubble parameter measurements (Cosmic Chronometers), (b) Type Ia Supernovae (Union 3.0), (c) Baryon Acoustic Oscillations (DESI-2025), (d) Gamma-Ray Bursts (GRBs) and (e) Cosmic Microwave Background (CMB). We first optimize the models using each dataset independently, and subsequently, we perform a comprehensive joint analysis combining all four datasets. Our results show that the Hu-Sawicki and ArcTanh models do not deviate significantly from the $Λ$CDM model at 95% confidence level for individual datasets and remain consistent at 99% confidence level in the joint analysis. In contrast, the Starobinsky model shows a strong deviation and appears as a viable alternative to $Λ$CDM. We also constrain the transition redshift parameter ($z_t$), and check that the obtained value agrees with the values inferred from both early-time measurement (Planck) and late-time data from Type Ia Supernovae. These results support the potential support of $f(R)$ gravity to explain the late-time cosmic acceleration effectively. Finally, a statistical model comparison using $χ^2_{\text{min}}$, AIC, and BIC indicates that all three $f(R)$ models are favored over $Λ$CDM, with the Starobinsky model receiving very strong support. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_04118 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Joint Analysis of Constraints on f(R) Parametrization from Recent Cosmological Observations Kumar, Darshan Dhankar, Praveen Kumar Ray, Saibal Zhang, Fengge Cosmology and Nongalactic Astrophysics In this study, we present constraints on the parameters of three well-known $f(R)$ gravity models, viz. (i) Hu-Sawicki, (ii) Starobinsky, and (iii) ArcTanh by using a joint analysis of recent cosmological observations. We perform analytical approximations for the Hubble parameter, $H(z)$, and cosmological distances in terms of the Hubble constant $(H_0)$, matter density $(Ω_{m0})$, and a deviation parameter $b$ for each model. {Our analysis combines early and late-universe cosmological data from five cosmological observations:} (a) Hubble parameter measurements (Cosmic Chronometers), (b) Type Ia Supernovae (Union 3.0), (c) Baryon Acoustic Oscillations (DESI-2025), (d) Gamma-Ray Bursts (GRBs) and (e) Cosmic Microwave Background (CMB). We first optimize the models using each dataset independently, and subsequently, we perform a comprehensive joint analysis combining all four datasets. Our results show that the Hu-Sawicki and ArcTanh models do not deviate significantly from the $Λ$CDM model at 95% confidence level for individual datasets and remain consistent at 99% confidence level in the joint analysis. In contrast, the Starobinsky model shows a strong deviation and appears as a viable alternative to $Λ$CDM. We also constrain the transition redshift parameter ($z_t$), and check that the obtained value agrees with the values inferred from both early-time measurement (Planck) and late-time data from Type Ia Supernovae. These results support the potential support of $f(R)$ gravity to explain the late-time cosmic acceleration effectively. Finally, a statistical model comparison using $χ^2_{\text{min}}$, AIC, and BIC indicates that all three $f(R)$ models are favored over $Λ$CDM, with the Starobinsky model receiving very strong support. |
| title | Joint Analysis of Constraints on f(R) Parametrization from Recent Cosmological Observations |
| topic | Cosmology and Nongalactic Astrophysics |
| url | https://arxiv.org/abs/2504.04118 |