On the Hamiltonian Formulation of Class B Bianchi Cosmological Models

TL;DR

This paper derives a Hamiltonian formulation for Class B Bianchi cosmological models using a corrected variational principle based on the divergence theorem in a non-coordinated basis, advancing the theoretical understanding of these models.

Contribution

It introduces a new Hamiltonian formulation for Class B Bianchi models derived from a corrected variational principle, improving previous theoretical frameworks.

Findings

Hamiltonian formulation for diagonal and symmetric vacuum Class B models

Use of divergence theorem in a non-coordinated basis for variational principle

Provides a foundation for further analysis of Class B Bianchi cosmologies

Abstract

The application of the divergence theorem in a non-coordinated basis is shown to lead to a corrected variational principle for Class B Bianchi cosmological models. This variational principle is used to construct a Hamiltonian formulation for diagonal and symmetric vacuum Class B models. [Note: This is an unpublished paper from 1984 that might be useful to anyone interested in Class B Bianchi models.]