  We have studied classical and quantum solutions of 2+1 dimensional Einstein
gravity theory. Quantum theory is defined through the local conserved angular
momentum and mass operators in the case of spherically symmetric space-time.
The de Broglie-Bohm interpretation is applied for the wave function and we
derive the differential equations for metrics. Metrics including quantum effect
are obtained in solving these equations and we compare them with classical
metrics. Especially the quantum effect on the closed de Sitter universe is
evaluated quantitatively.
