Gravitational Baryogenesis Constraints on Nojiri-Odintsov $f(R)$ Gravity
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arXiv
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| Format: | Preprint |
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2025
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| _version_ | 1866909658425327616 |
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| author | Malakar, Kalyan Gohain, Mrinnoy M Bhuyan, Kalyan |
| author_facet | Malakar, Kalyan Gohain, Mrinnoy M Bhuyan, Kalyan |
| contents | This paper focuses on exploring the imbalance between matter and antimatter via the gravitational baryogenesis mechanism within the framework of Nojiri-Odintsov $f(R)$ gravity models in a spatially flat FLRW universe, where $R$ is the Ricci curvature scalar. This mechanism is based on \(\mathcal{CP}\)-violation generated via introducing an interaction between baryonic matter current (\(J^μ\)) and the derivative of curvature scalar (\(\partial_μR\)), which finally results in the baryon asymmetry. We examine three distinct $f(R)$ models: (i) \(f(R)=\frac{-α}{R^m}+\frac{R}{2k^2}+βR^2\), (ii) \(f(R)=αR^γ +βR^δ\) and (iii) \(f(R)=\frac{αR^{2m}-βR^m}{1+γR^m} \). We demonstrate that even during the matter-dominated epoch of the universe, the $f(R)$ gravity models under consideration can yield a non-vanishing matter-antimatter asymmetry. We constrain the model parameters of each model within the scenario of gravitational baryogenesis to produce the observed value of the baryon-to-entropy ratio, providing a continuous set of acceptable physical values for those parameters. Our results show highly consistent agreement to the baryon-to-entropy ratio with the observational bound from the cosmological data. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2506_18949 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Gravitational Baryogenesis Constraints on Nojiri-Odintsov $f(R)$ Gravity Malakar, Kalyan Gohain, Mrinnoy M Bhuyan, Kalyan General Relativity and Quantum Cosmology This paper focuses on exploring the imbalance between matter and antimatter via the gravitational baryogenesis mechanism within the framework of Nojiri-Odintsov $f(R)$ gravity models in a spatially flat FLRW universe, where $R$ is the Ricci curvature scalar. This mechanism is based on \(\mathcal{CP}\)-violation generated via introducing an interaction between baryonic matter current (\(J^μ\)) and the derivative of curvature scalar (\(\partial_μR\)), which finally results in the baryon asymmetry. We examine three distinct $f(R)$ models: (i) \(f(R)=\frac{-α}{R^m}+\frac{R}{2k^2}+βR^2\), (ii) \(f(R)=αR^γ +βR^δ\) and (iii) \(f(R)=\frac{αR^{2m}-βR^m}{1+γR^m} \). We demonstrate that even during the matter-dominated epoch of the universe, the $f(R)$ gravity models under consideration can yield a non-vanishing matter-antimatter asymmetry. We constrain the model parameters of each model within the scenario of gravitational baryogenesis to produce the observed value of the baryon-to-entropy ratio, providing a continuous set of acceptable physical values for those parameters. Our results show highly consistent agreement to the baryon-to-entropy ratio with the observational bound from the cosmological data. |
| title | Gravitational Baryogenesis Constraints on Nojiri-Odintsov $f(R)$ Gravity |
| topic | General Relativity and Quantum Cosmology |
| url | https://arxiv.org/abs/2506.18949 |