  A particular type of coupling of the dilaton field to the metric is shown to
admit a simple geometric interpretation in terms of a volume element density
independent from the metric. For dimension n = 4 two families of either
magnetically or electrically charged static spherically symmetric solutions to
the Maxwell-Einstein-Dilaton field equations are derived. Whereas the metrics
of the "magnetic" spacetimes are smooth, geodesically complete and have the
topology of a wormhole, the "electric" metrics behave similarly as the singular
and geodesically incomplete classical Reissner-Nordstroem metrics. At the price
of losing the simple geometric interpretation, a closely related "alternative"
dilaton coupling can nevertheless be defined, admitting as solutions smooth
"electric" metrics.
