Fully Loop-Quantum-Cosmology-corrected propagation of gravitational waves during slow-roll inflation

TL;DR

This paper explores how Loop Quantum Gravity corrections, specifically holonomy and inverse volume effects, modify the propagation of gravitational waves during slow-roll inflation, impacting the primordial tensor power spectrum.

Contribution

It provides a unified framework to incorporate key Loop Quantum Gravity corrections into gravitational wave propagation during inflation.

Findings

Holonomy and inverse volume corrections significantly alter gravitational wave equations.

Derived modified propagation equations for gravitational waves with quantum gravity effects.

Results suggest potential observable signatures in the primordial tensor spectrum.

Abstract

The cosmological primordial power spectrum is known to be one of the most promising observable to probe quantum gravity effects. In this article, we investigate how the tensor power spectrum is modified by Loop Quantum Gravity corrections. The two most important quantum terms, holonomy and inverse volume, are explicitly taken into account in a unified framework. The equation of propagation of gravitational waves is derived and solved for one set of parameters.