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Complete Classification of the String-like Solutions of the Gravitating Abelian Higgs Model

M. Christensen·A. L. Larsen·Y. Verbin
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Abstract

The static cylindrically symmetric solutions of the gravitating Abelian Higgs model form a two parameter family. In this paper we give a complete classification of the string-like solutions of this system. We show that the parameter plane is composed of two different regions with the following characteristics: One region contains the standard asymptotically conic cosmic string solutions together with a second kind of solutions with Melvin-like asymptotic behavior. The other region contains two types of solutions with bounded radial extension. The border between the two regions is the curve of maximal angular deficit of $2π$.

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M. Christensen, A. L. Larsen, Y. Verbin. 1999-04-20. Complete Classification of the String-like Solutions of the Gravitating Abelian Higgs Model. https://doi.org/10.1103/physrevd.60.125012

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