标题： 阿贝尔希格斯毛对于旋转和带电黑洞 显示英文标题

标题： Abelian Higgs Hair for Rotating and Charged Black Holes

摘要： 我们研究了在渐近平坦和渐近反德西特时空中的旋转黑洞背景下的涡旋解问题。 我们展示了在四维Kerr、Kerr-AdS和Reissner-Nordstrom-AdS黑洞背景下的阿贝尔希格斯场方程具有涡旋线解。 这些具有轴对称性的解是Nielsen-Olesen弦的推广。 通过在每种情况下数值求解场方程，我们发现这些黑洞可以支持阿贝尔希格斯场作为毛发。 这种情况甚至在极端情况下也成立，没有通量排斥发生。 我们还计算了阿贝尔希格斯场的自引力效应，结果表明涡旋在相应的黑洞度规中诱导出一个缺陷角。 显示英文摘要

摘要： We study the problem of vortex solutions in the background of rotating black holes in both asymptotically flat and asymptoticlly anti de Sitter spacetimes. We demonstrate 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 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 show that the the vortex induces a deficit angle in the corresponding black hole metrics.