Information on the inflaton field from the spectrum of relic gravitational waves

TL;DR

This paper reviews traditional and recent methods for analyzing the relic gravitational wave spectrum, establishing a connection that yields an inflaton field value consistent with inflation's slow roll condition.

Contribution

It introduces a novel link between different spectral treatments, providing an equation for the inflaton field aligned with inflationary slow roll conditions.

Findings

Derived an equation for the inflaton field from GW spectrum analysis

Found the inflaton field value consistent with slow roll inflation

Connected traditional and recent spectral treatments

Abstract

After a review of a traditional analysis, it is shown a variation of a more recent treatment on the spectrum of relic gravitational waves (GWs). Then, a connection between the two different treatments will be analysed. Such a connection permits to obtain an interesting equation for the inflaton field. This equation gives a value that agrees with the slow roll condition on inflation.