Reparameterization invariants for anisotropic Bianchi I cosmology with a massless scalar source

TL;DR

This paper constructs intrinsic time-dependent invariants for anisotropic Bianchi I cosmology with a massless scalar, demonstrating their invariance under reparameterization, which aids in understanding the model's canonical structure.

Contribution

It introduces explicit reparameterization invariants for Bianchi I cosmology with a scalar source, advancing the analysis of its canonical symmetries.

Findings

Explicit invariants under time reparameterization are constructed.

Invariance under the canonical symmetry group is demonstrated.

Provides tools for analyzing anisotropic cosmological models.

Abstract

Intrinsic time-dependent invariants are constructed for classical, flat, homogeneous, anisotropic cosmology with a massless scalar material source. Invariance under the time reparameterization-induced canonical symmetry group is displayed explicitly.