{
  "id": "2401.10312",
  "version": "v1",
  "published": "2024-01-18T18:05:50.000Z",
  "updated": "2024-01-18T18:05:50.000Z",
  "title": "Speed of sound and scalar spectral index: Reconstructing inflation and reheating in a non-canonical theory",
  "authors": [
    "Ramon Herrera",
    "Carlos Rios"
  ],
  "comment": "19 pages and 4 figures",
  "categories": [
    "astro-ph.CO",
    "gr-qc",
    "hep-th"
  ],
  "abstract": "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 $K(X,\\phi)=X+g(\\phi)X^2$, with $X$ the standard kinetic term associated to the scalar field $\\phi$ and $g(\\phi)$ 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 $c_s\\propto N^{-\\beta}$ with $\\beta$ a constant, we find the reconstruction of the effective potential $V(\\phi)$ and the coupling function $g(\\phi)$ 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.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2024-01-18T18:05:50.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "scalar spectral index",
      "non-canonical theory",
      "reconstructing inflation",
      "scalar field",
      "reheating epoch"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 19,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}