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Melvin solution with a dilaton potential

Eugen Radu1 and Reinoud J Slagter2,3,4

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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 does not preserve any supersymmetry. An exact solution describing travelling waves in this Melvin-type background is also presented.


PACS

04.65.+e Supergravity

04.20.-q Classical general relativity

98.80.Cq Particle-theory and field-theory models of the early Universe (including cosmic pancakes, cosmic strings, chaotic phenomena, inflationary universe, etc.)

MSC

83E50 Supergravity

83Cxx General relativity

Subjects

Gravitation and cosmology

Astrophysics and astroparticles

Dates

Issue 9 (7 May 2004)

Received 28 November 2003

Published 7 April 2004



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