Abstract
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 two families of either magnetically or electrically charged static spherically symmetric solutions to the corresponding Maxwell-Einstein-dilaton field equations are derived. Whereas the metrics of the “magnetic” spacetimes are smooth, asymptotically flat, and have the topology of a wormhole, the “electric” metrics behave similarly as the singular and geodesically incomplete classical Reissner-Nordström 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.
- Received 15 September 2002
DOI:https://doi.org/10.1103/PhysRevD.67.024002
©2003 American Physical Society