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

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.

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

References in corpus (14)

• BICEP / Keck XIII: Improved Constraints on Primordial Gravitational Waves using Planck, WMAP, and BICEP/Keck Observations through the 2018 Observing Season
• Planck constraints on the tensor-to-scalar ratio
• Consistency relation for $R^p$ inflation
• Testing Predictions of the Quantum Landscape Multiverse 1: The Starobinsky Inflationary Potential
• Analytic Solution of the Starobinsky Model for Inflation
• Method of comparison equations for cosmological perturbations
• Power law Starobinsky model of inflation from no-scale SUGRA
• Unification of inflation and dark matter in the Higgs-Starobinsky model
• Generalized scalar-tensor theory of gravity reconstruction from physical potentials of a scalar field
• Computation of inflationary cosmological perturbations in the power-law inflationary model using the phase-integral method
• Computation of inflationary cosmological perturbations in chaotic inflationary scenarios using the phase-integral method
• Numerical analysis of the generalized Starobinsky inflationary model
• Semiclassical analysis of the Starobinsky inflationary model
• Semiclassical analysis of the tensor power spectrum in the Starobinsky inflationary model