Calculation of the scalar and tensor power spectra for the natural inflation model

Inflationary cosmology has emerged as the leading framework for explaining the large-scale structure of the Universe and the origin of the cosmic microwave background radiation. This thesis focuses on investigating the Natural Inflation model, which is a well-motivated scenario within inflationary cosmology, and aims to compare its predictions with observational data. The main objectives include analyzing the scalar and tensor power spectra, the scalar spectral index, and the scalar-tensor ratio within the framework of Natural Inflation. Numerical analyzes are performed for nine values of the parameter f (4, 5, 50, 94, 138, 183, 227, 272, and 316.23) to calculate the power scalar and tensor spectra. The dependence of the scalar spectral index on f is examined to assess its agreement with observational data. Additionally, predictions for the scalar-tensor ratio in the Natural Inflation model are explored for different f values and compared with current observational constraints. The results underscore the importance of employing a numerical approach to determine the predictions of the Natural Inflation model. This approach enhances the results compared to the slow-roll approximation in explaining the observed primordial perturbations and cosmological parameters. The thesis contributes to a more comprehensive analysis of the viability of the Natural Inflation model in the context of inflationary cosmology.

• 第一著者: Pozo Galvis, Daniel Genary (author)
• フォーマット: bachelorThesis
• 言語: eng
• 出版事項: 2024
• 主題: Cosmología; Espectro de potencia; Potencial inflacionario natural; Cosmology; Power spectrum; Natural inflationary potential
• オンライン･アクセス: http://repositorio.yachaytech.edu.ec/handle/123456789/765