Geometric dilaton gravity and smooth charged wormholes

Wolfgang Graf
Phys. Rev. D 67, 024002 – Published 8 January 2003
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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 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

Authors & Affiliations

Wolfgang Graf*

  • Institut für Theoretische Physik der Universität Wien, Boltzmanngasse 5, A-1090 Wien, Austria

  • *Electronic address: wolfgang.graf@ap.univie.ac.at

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Vol. 67, Iss. 2 — 15 January 2003

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