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

Understand

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.