Stability investigations of de Sitter inflationary solutions in power-law extensions of the Starobinsky model
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arXiv
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| Autores principales: | , , , |
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| Formato: | Preprint |
| Publicado: |
2024
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| _version_ | 1866913453103382528 |
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| author | Pham, Tuyen M. Nguyen, Duy H. Do, Tuan Q. Kao, W. F. |
| author_facet | Pham, Tuyen M. Nguyen, Duy H. Do, Tuan Q. Kao, W. F. |
| contents | In this paper, we would like to examine whether stable de Sitter inflationary solutions appear within power-law extensions of the Starobinsky model. In particular, we will address general constraints for the existence along with the stability of de Sitter inflationary solutions in a general case involving not only the Starobinsky $R^2$ term but also an additional power-law $R^n$ one. According to the obtained results, we will be able to identify which extension is more suitable for an early inflationary phase rather than a late-time cosmic acceleration phase. To be more specific, we will consider several values of $n$ to see whether the corresponding de Sitter inflationary solutions are stable or not. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_02623 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Stability investigations of de Sitter inflationary solutions in power-law extensions of the Starobinsky model Pham, Tuyen M. Nguyen, Duy H. Do, Tuan Q. Kao, W. F. General Relativity and Quantum Cosmology Cosmology and Nongalactic Astrophysics High Energy Physics - Theory In this paper, we would like to examine whether stable de Sitter inflationary solutions appear within power-law extensions of the Starobinsky model. In particular, we will address general constraints for the existence along with the stability of de Sitter inflationary solutions in a general case involving not only the Starobinsky $R^2$ term but also an additional power-law $R^n$ one. According to the obtained results, we will be able to identify which extension is more suitable for an early inflationary phase rather than a late-time cosmic acceleration phase. To be more specific, we will consider several values of $n$ to see whether the corresponding de Sitter inflationary solutions are stable or not. |
| title | Stability investigations of de Sitter inflationary solutions in power-law extensions of the Starobinsky model |
| topic | General Relativity and Quantum Cosmology Cosmology and Nongalactic Astrophysics High Energy Physics - Theory |
| url | https://arxiv.org/abs/2403.02623 |