  We present here the canonical treatment of spherically symmetric (quantum)
gravity coupled to spherically symmetric Maxwell theory with or without a
cosmological constant. The quantization is based on the reduced phase space
which is coordinatized by the mass and the electric charge as well as their
canonically conjugate momenta, whose geometrical interpretation is explored.
The dimension of the reduced phase space depends on the topology chosen, quite
similar to the case of pure (2+1) gravity. We also compare the reduced phase
space quantization to the algebraic quantization. Altogether, we observe that
the present model serves as an interesting testing ground for full (3+1)
gravity. We use the new canonical variables introduced by Ashtekar which
simplifies the analysis tremendously.
