General Slow-Roll Spectrum for Gravitational Waves

TL;DR

This paper derives the power spectrum of gravitational waves during inflation, including second order corrections, providing refined predictions for the spectrum and spectral index within the slow-roll approximation.

Contribution

It introduces higher order corrections to the gravitational wave spectrum and spectral index in inflationary models, extending previous slow-roll results.

Findings

Derived the power spectrum P_ψ(k) with second order corrections.

Provided refined spectral index calculations in the slow-roll approximation.

Enhanced theoretical understanding of gravitational wave signatures from inflation.

Abstract

We derive the power spectrum P_\psi(k) of the gravitational waves produced during general classes of inflation with second order corrections. Using this result, we also derive the spectrum and the spectral index in the standard slow-roll approximation with new higher order corrections.