Conformal decomposition in canonical general relativity

TL;DR

This paper introduces a new canonical transformation in general relativity that simplifies conformal geometrodynamics, supporting conformal approaches in loop quantum gravity and spacetime analysis.

Contribution

It presents a novel canonical transformation that directly handles the conformal factor, enhancing the theoretical framework of conformal geometrodynamics.

Findings

Simplifies the conformal geometrodynamics formulation.

Provides a theoretical basis for conformal loop quantum gravity.

Offers a framework for analyzing spacetime dynamics conformally.

Abstract

A new canonical transformation is found that enables the direct canonical treatment of the conformal factor in general relativity. The resulting formulation significantly simplifies the previously presented conformal geometrodynamics. It provides a further theoretical basis for the conformal approach to loop quantum gravity and offers a generic framework for the conformal analysis of spacetime dynamics.