Hairy rotating black string in the Einstein-Maxwell-Higgs system

Details Hairy rotating black string in the Einstein-Maxwell-Higgs system Hairy rotating black string in the Einstein-Maxwell-Higgs system

2003-10-14

arxiv.org/abs/hep-th/0310126v2

Can. J. Phys./Rev. Can. Phys. 83(3): 229-242 (2005)

Physics

High Energy Physics

High Energy Physics - Theory

16 pages, 8 figures, references added, some minor corrections done

Scientific paper

We show numerically that the Abelian Higgs field equations in the background of a four-dimensional rotating charged black string have vortex solutions. These solutions which have axial symmetry show that the rotating black string can support the Abelian Higgs field as hair. We find that one encounters with an electric field coupled to the Higgs scalar field for the case of rotating black string. This electric field is due to an electric charge per unit length, which increases as the rotation parameter becomes larger. We also find that the vortex thickness decreases as the rotation parameter grows up. Finally we consider the self-gravity of the Abelian Higgs field and show that the effect of the vortex is to induce a deficit angle in the metric under consideration which decreases as the rotation parameter increases.

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