Closed universes containing sources of a massive vector field

The presence in the universe of a nonvanishing electric charge is incompatible with the universe's being closedo In the present paper it is shown that there can exist closed universes with nonvanishing charge of a massive vector field. The analog of Gauss's electrodynamic theorem is discussed in the theory of a massive vector field. Systems with a closed metric are considered as limiting cases of “black holes” described by a halfclosed metric.