Hamiltonian cosmological perturbation theory with loop quantum gravity corrections

TL;DR

This paper systematically derives cosmological perturbation equations using Ashtekar variables, incorporating loop quantum gravity corrections, and compares different derivation methods to highlight subtleties in gauge choices.

Contribution

It introduces a canonical scheme for perturbation equations with loop quantum gravity corrections, providing a more systematic approach than previous covariant methods.

Findings

Derived perturbation equations with quantum gravity corrections

Compared canonical and covariant derivations highlighting subtleties

Identified a characteristic modification from loop quantum gravity

Abstract

Cosmological perturbation equations are derived systematically in a canonical scheme based on Ashtekar variables. A comparison with the covariant derivation and various subtleties in the calculation and choice of gauges are pointed out. Nevertheless, the treatment is more systematic when correction terms of canonical quantum gravity are to be included. This is done throughout the paper for one characteristic modification expected from loop quantum gravity.