Energy conditions and gravitational baryogenesis in $f(R, {\cal R})$ gravity
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| Format: | Preprint |
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2025
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| author | Atazadeh, K. Golsanamlou, S. |
| author_facet | Atazadeh, K. Golsanamlou, S. |
| contents | In this work, first we examine the energy conditions in the context of the generalized metric-Palatini hybrid gravity, known as $f(R, {\cal R})$ gravity. We show that for the proposed model in this study, {\it i.e.} $ f(R, {\cal R})= R +α{\cal R}^{n} $, one of the four fundamental energy conditions, specifically the strong energy condition, does not hold for some values of $n$. Therefore, it seems that hybrid gravity can provide a model for the accelerated expansion of the universe. In continuation of completing our study in this work, we try to analyze the impact of hybrid metric-Palatini gravity on the gravitational baryogenesis process. The hybrid metric-Palatini model combines two gravitational theories that allow for a more detailed examination of the behavior of space-time and its interaction with matter. This combination is critical in the early radiation-dominant universe, where unusual gravitational effects may play a key role in generating baryonic asymmetry and the production of baryons and anti-baryons. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2510_01148 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Energy conditions and gravitational baryogenesis in $f(R, {\cal R})$ gravity Atazadeh, K. Golsanamlou, S. General Relativity and Quantum Cosmology In this work, first we examine the energy conditions in the context of the generalized metric-Palatini hybrid gravity, known as $f(R, {\cal R})$ gravity. We show that for the proposed model in this study, {\it i.e.} $ f(R, {\cal R})= R +α{\cal R}^{n} $, one of the four fundamental energy conditions, specifically the strong energy condition, does not hold for some values of $n$. Therefore, it seems that hybrid gravity can provide a model for the accelerated expansion of the universe. In continuation of completing our study in this work, we try to analyze the impact of hybrid metric-Palatini gravity on the gravitational baryogenesis process. The hybrid metric-Palatini model combines two gravitational theories that allow for a more detailed examination of the behavior of space-time and its interaction with matter. This combination is critical in the early radiation-dominant universe, where unusual gravitational effects may play a key role in generating baryonic asymmetry and the production of baryons and anti-baryons. |
| title | Energy conditions and gravitational baryogenesis in $f(R, {\cal R})$ gravity |
| topic | General Relativity and Quantum Cosmology |
| url | https://arxiv.org/abs/2510.01148 |