Melvin solution with a dilaton potential

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.

12 pages, LaTeX, no figures

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Cited by in corpus (7)

• Non-asymptotically AdS/dS Solutions and Their Higher Dimensional Origins
• Uniqueness of dilaton Melvin-Schwarzschild solution
• On generalized Melvin solution for the Lie algebra $E_6$
• Charged dilaton black hole with multiple Liouville potentials and gauge fields
• Nonabelian solutions in a Melvin magnetic universe
• Uniqueness of dark matter magnetized static black hole spacetime
• Cylindrically symmetric solitons in Einstein-Yang-Mills theory