Study of scalar and tensor power spectra in the generalized Starobinsky inflationary model using semiclassical methods

Clara Rojas

doi:10.1016/j.astropartphys.2022.102745

Study of scalar and tensor power spectra in the generalized Starobinsky inflationary model using semiclassical methods

General Relativity and Quantum Cosmology 2022-07-20 v4 Cosmology and Nongalactic Astrophysics

Authors: Clara Rojas

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Abstract

In this work we solved the equation of scalar and tensor perturbations for the generalized Starobinsky inflationary model using the improved uniform approximation method and the phase-integral method up to third-order in deviation. We compare our results with the numerical integration. We have obtained that both semiclassical methods reproduce the scalar power spectra $P_{S,T}$ , the scalar spectral index $n_S$ , and the tensor-to-scalar ratio $r$ . Also we present our results in the $(n_S,r)$ plane.

Keywords

Starobinsky inflationary model scalar power spectrum tensor power spectrum semiclassical methods uniform approximation phase-integral method scalar spectral index

Cite

@article{arxiv.2203.00741,
  title  = {Study of scalar and tensor power spectra in the generalized Starobinsky inflationary model using semiclassical methods},
  author = {Clara Rojas},
  journal= {arXiv preprint arXiv:2203.00741},
  year   = {2022}
}

Comments

25 pages, 12 figures. arXiv admin note: text overlap with arXiv:astro-ph/0703587

Study of scalar and tensor power spectra in the generalized Starobinsky inflationary model using semiclassical methods

Abstract

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