1. Stability investigations of de Sitter inflationary solutions in power-law extensions of the Starobinsky model
- Author
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Pham, Tuyen M., Nguyen, Duy H., Do, Tuan Q., and Kao, W. F.
- Subjects
General Relativity and Quantum Cosmology ,Astrophysics - Cosmology and Nongalactic Astrophysics ,High Energy Physics - Theory - Abstract
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., Comment: 40 pages, 20 figures. Final version with additional stability analysis using an effective potential method. Matches the published version. All conclusions remain unchanged. Comments are welcome
- Published
- 2024
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