Melvin solution with a dilaton potential
Eugen Radu, Reinoud J. Slagter
TL;DR
This paper introduces new Melvin-like solutions in Einstein-Maxwell-dilaton gravity with a dilaton potential, analyzing their properties and presenting a wave solution, expanding understanding of such configurations in supergravity models.
Contribution
It presents novel Melvin-like solutions with a dilaton potential and explores their properties within supergravity, including a wave solution in this background.
Findings
Solutions are regular and geodesically complete.
They do not preserve supersymmetry.
An exact wave solution in the Melvin background is provided.
Abstract
We find new Melvin-like solutions in Einstein-Maxwell-dilaton gravity with a Liouville-type dilaton potential. The properties of the corresponding solution in Freedman-Schwarz gauged supergravity model are extensively studied. We show that this configuration is regular and geodesically complete but do not preserve any supersymmetry. An exact solution describing travelling waves in this Melvin-type background is also presented.
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