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

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

1999-04-20

arxiv.org/abs/gr-qc/9904049v1

Phys.Rev. D60 (1999) 125012

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

12 pages, 4 figures

Scientific paper

10.1103/PhysRevD.60.125012

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 $2\pi$.

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