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Classical solutions of the gravitating Abelian Higgs model

2000/04/07 by Y. Brihaye, Yves Brihaye, Musongela Lubo +1 · 1 citation
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Quantum Chromodynamics and Particle Interactions #hep-th

paper · pdf · doi:10.1103/physrevd.62.085004

published as Phys.Rev. D62 (2000) 085004 · Latex, 10 pages, 10 figures

arxiv created 2000/04/07 · openalex publication_date 2000/09/18 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We consider the classical equations of the gravitating Abelian-Higgs model in an axially symmetric ansatz. Several properties of the solutions (the Melvin branch and the string branch) of these equations are presented. These solutions are also constructed for winding numbers n=2. It is shown that these gravitating vortices exist in attractive and repulsive phases, separated by the value of the Higgs coupling constant parameter leading to self-dual equations.

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