2001/10/31 by A. M. Ghezelbash, Robert B. Mann, R. B. Mann · 2 citations
Physics and Astronomy · #Astrophysical Phenomena and Observations #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #gr-qc #hep-th
paper · pdf · doi:10.1103/physrevd.65.124022
published as Phys.Rev. D65 (2002) 124022 · 22 pages, 16 figures, a section about the vortex self gravity on Kerr black hole added, extremal black holes considered, one figure changed, one reference added
arxiv created 2002/03/18 · openalex publication_date 2002/06/17 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We study the problem of vortex solutions in the background of rotating black holes in both asymptotically flat and asymptotically anti--de Sitter spacetimes. We demonstrate that the Abelian Higgs field equations in the background of four-dimensional Kerr, Kerr-AdS, and Reissner-Nordstrom-AdS black holes have vortex line solutions. These solutions, which have axial symmetry, are a generalization of the Nielsen-Olesen string. By numerically solving the field equations in each case, we find that these black holes can support an Abelian Higgs field as hair. This situation holds even in the extremal case, and no flux expulsion occurs. We also compute the effect of the self-gravity of the Abelian Higgs field and show that the vortex induces a deficit angle in the corresponding black hole metrics.