Abelian Higgs Hair for AdS-Schwarzschild Black Hole

Details Abelian Higgs Hair for AdS-Schwarzschild Black Hole Abelian Higgs Hair for AdS-Schwarzschild Black Hole

2001-07-25

arxiv.org/abs/hep-th/0107224v1

Phys.Rev. D65 (2002) 044010

Physics

High Energy Physics

High Energy Physics - Theory

19 pages, 33 figures

Scientific paper

10.1103/PhysRevD.65.044010

We show that the Abelian Higgs field equations in the background of the four dimensional AdS-Schwarzschild black hole have a vortex line solution. This solution, which has axial symmetry, is a generalization of the AdS spacetime Nielsen-Olesen string. By a numerical study of the field equations, we show that black hole could support the Abelian Higgs field as its Abelian hair. Also, we conside the self gravity of the Abelian Higgs field both in the pure AdS spacetime and AdS-Schwarzschild black hole background and show that the effect of string as a black hole hair is to induce a deficit angle in the AdS-Schwarzschild black hole.

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