Construction of Chiral Cosmological Models Unifying Inflation and Primordial Black Hole Formation
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arXiv
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| Format: | Preprint |
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2024
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| _version_ | 1866913389299630080 |
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| author | Pozdeeva, Ekaterina O. Vernov, Sergey Yu. |
| author_facet | Pozdeeva, Ekaterina O. Vernov, Sergey Yu. |
| contents | We propose the method for construction of $F(R,ξ)$ gravity model, unifying inflation and primordial black hole formation. The proposed models are based on the Starobinsky $R+R^2$ inflationary model, so, the function $F(R,ξ)$ is a quadratic polynomial of the Ricci scalar $R$. We show that the potential of the corresponding two-field chiral cosmological model in the Einstein frame can be always found in terms of the elementary functions. The special choice of the function $F(R,ξ)$ allows us to get such a generalization of the hybrid inflation that can describe both inflation, and the primordial black hole formation. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2401_12040 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Construction of Chiral Cosmological Models Unifying Inflation and Primordial Black Hole Formation Pozdeeva, Ekaterina O. Vernov, Sergey Yu. General Relativity and Quantum Cosmology We propose the method for construction of $F(R,ξ)$ gravity model, unifying inflation and primordial black hole formation. The proposed models are based on the Starobinsky $R+R^2$ inflationary model, so, the function $F(R,ξ)$ is a quadratic polynomial of the Ricci scalar $R$. We show that the potential of the corresponding two-field chiral cosmological model in the Einstein frame can be always found in terms of the elementary functions. The special choice of the function $F(R,ξ)$ allows us to get such a generalization of the hybrid inflation that can describe both inflation, and the primordial black hole formation. |
| title | Construction of Chiral Cosmological Models Unifying Inflation and Primordial Black Hole Formation |
| topic | General Relativity and Quantum Cosmology |
| url | https://arxiv.org/abs/2401.12040 |