Gravitating Q-tubes and cylindrical spacetime

We consider a model involving a self-interacting complex scalar field minimally coupled to gravity and emphasize the cylindrically symmetric classical solutions. A general ansatz is performed which transforms the field equations into a system of differential equations. In the generic case, the scala...

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Bibliographic Details
Published in:arXiv.org 2013-07
Main Authors: Brihaye, Y, Delsate, T
Format: Article
Language:English
Subjects:
Deformation
Differential equations
Gravitation
Relativity
Spacetime
Tubes
Online Access:Get full text
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Summary:We consider a model involving a self-interacting complex scalar field minimally coupled to gravity and emphasize the cylindrically symmetric classical solutions. A general ansatz is performed which transforms the field equations into a system of differential equations. In the generic case, the scalar field depends on the four space-time coordinates. The underlying Einstein vacuum equations are worth studying by themselve and lead to numerous analytic results extending the Kasner solutions. The solutions of the coupled system are -static as well as stationnary- gravitating Q-tubes of scalar matter which deform space-time.
ISSN:2331-8422