Geometric Dilaton Coupling and Smooth Charged Wormholes

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 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.

23 pages, 1 table, 1 TeX-figure. Minor changes, to agree with with paper accepted for publication by Phys. Rev. D

References in corpus (1)

• Brans-Dicke wormholes in the Jordan and Einstein frames

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