Metric fluctuations and its evolution during inflation

TL;DR

This paper investigates the evolution of metric fluctuations during inflation driven by a symmetric exponential potential, analyzing both gauge-invariant and Sasaki-Mukhanov fields to understand their behavior.

Contribution

It introduces a detailed analysis of metric fluctuation evolution during power-law inflation using two different field formalisms, enhancing understanding of inflationary perturbations.

Findings

Fluctuations evolve consistently with power-law inflation models.

Both gauge-invariant and Sasaki-Mukhanov fields provide compatible descriptions.

Results contribute to understanding the behavior of metric fluctuations during inflation.

Abstract

W discuss the evolution of the fluctuations in a symmetric $\phi_c$-exponential potential which provides a power-law expansion during inflation using both, the gauge invariant field $\Phi$ and the Sasaki-Mukhanov field.