  We discuss the implications of a wave function for quantum gravity, which
involves nothing but 3-dimensional geometries as arguments and is invariant
under general coordinate transformations. We derive an analytic wave function
from the Wheeler-DeWitt equation for spherically symmetric space-time with the
coordinate system arbitrary. The de Broglie-Bohm interpretation of quantum
mechanics is applied to the wave function. In this interpretation,
deterministic dynamics can be yielded from a wave function in fully quantum
regions as well as in semiclassical ones. By introducing a coordinate system
additionally, we obtain a cosmological black hole picture in compensation for
the loss of general covariance. Our analysis shows that the de Broglie-Bohm
interpretation gives quantum gravity an appropriate prescription to introduce
coordinate systems naturally and extract information from a wave function as a
result of breaking general covariance.
