General relativity in the radial gauge: Reduced phase space and canonical structure

TL;DR

This paper reformulates the canonical approach to general relativity in the radial gauge, deriving a reduced phase space and analyzing the canonical structure, applicable both in spherically symmetric and full theories.

Contribution

It introduces a gauge unfixing technique for the radial gauge and extends it to the full theory, providing a new reduced phase space description of general relativity.

Findings

Reduced phase space formulation for spherically symmetric systems

Extension of the radial gauge approach to full general relativity

Analysis of the canonical structure in the reduced framework

Abstract

Firstly, we present a reformulation of the standard canonical approach to spherically symmetric systems in which the radial gauge is imposed. This is done via the gauge unfixing technique, which serves as the exposition in the context of the radial gauge. Secondly, we apply the same techniques to the full theory, without assuming spherical symmetry, resulting in a reduced phase space description of general relativity. The canonical structure of the theory is analyzed.