Speed of sound and scalar spectral index: Reconstructing inflation and reheating in a non-canonical theory
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2024
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| author | Herrera, Ramon Rios, Carlos |
| author_facet | Herrera, Ramon Rios, Carlos |
| contents | In this article we analyze the reconstruction of inflation in the framework of a non-canonical theory. In this sense, we study the viability of reconstructing the background variables assuming a non-lineal kinetic term given by $K(X,ϕ)=X+g(ϕ)X^2$, with $X$ the standard kinetic term associated to the scalar field $ϕ$ and $g(ϕ)$ an arbitrary coupling function. In order to achieve this reconstruction in the context of inflation, we assume the slow-roll approximation together with the parametrization of the scalar spectral index $n_s$ and the speed of sound $c_s$ as a function of the number of $e-$folds $N$. By assuming the simplest parametrizations for $n_s-1=-2/N$ and $c_s\propto N^{-β}$ with $β$ a constant, we find the reconstruction of the effective potential $V(ϕ)$ and the coupling function $g(ϕ)$ in terms of the scalar field. Besides, we study the reheating epoch by considering a constant equation of state parameter, where we determine the temperature and number of $e-$folds during the reheating epoch in terms of the reconstructed variables and the observational parameters. In this way, the parameter-space related to the reconstructed inflationary model are constrained during the epochs of inflation and reheating by assuming the current astronomical data from Planck and BICEP/Keck results. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2401_10312 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Speed of sound and scalar spectral index: Reconstructing inflation and reheating in a non-canonical theory Herrera, Ramon Rios, Carlos Cosmology and Nongalactic Astrophysics General Relativity and Quantum Cosmology High Energy Physics - Theory In this article we analyze the reconstruction of inflation in the framework of a non-canonical theory. In this sense, we study the viability of reconstructing the background variables assuming a non-lineal kinetic term given by $K(X,ϕ)=X+g(ϕ)X^2$, with $X$ the standard kinetic term associated to the scalar field $ϕ$ and $g(ϕ)$ an arbitrary coupling function. In order to achieve this reconstruction in the context of inflation, we assume the slow-roll approximation together with the parametrization of the scalar spectral index $n_s$ and the speed of sound $c_s$ as a function of the number of $e-$folds $N$. By assuming the simplest parametrizations for $n_s-1=-2/N$ and $c_s\propto N^{-β}$ with $β$ a constant, we find the reconstruction of the effective potential $V(ϕ)$ and the coupling function $g(ϕ)$ in terms of the scalar field. Besides, we study the reheating epoch by considering a constant equation of state parameter, where we determine the temperature and number of $e-$folds during the reheating epoch in terms of the reconstructed variables and the observational parameters. In this way, the parameter-space related to the reconstructed inflationary model are constrained during the epochs of inflation and reheating by assuming the current astronomical data from Planck and BICEP/Keck results. |
| title | Speed of sound and scalar spectral index: Reconstructing inflation and reheating in a non-canonical theory |
| topic | Cosmology and Nongalactic Astrophysics General Relativity and Quantum Cosmology High Energy Physics - Theory |
| url | https://arxiv.org/abs/2401.10312 |