Abelian-Higgs hair on stationary axisymmetric black hole in Einstein-Maxwell-axion-dilaton gravity

Abstract

We studied, both analytically and numerically, an Abelian Higgs vortex in the spacetime of stationary axisymmetric black hole being the solution of the low-energy limit of the heterotic string theory, acted as hair on the black hole background. Taking into account the gravitational backreaction of the vortex we show that its influence is far more subtle than causing only a conical defect. As a consequence of its existence, we found that the ergosphere was shifted as well as event horizon angular velocity was affected by its presence. Numerical simulations reveal the strong dependence of the vortex behaviour on the black hole charge and mass of the Higgs boson. For large masses of the Higgs boson and large value of the charge, black hole is always pierced by an Abelian Higgs vortex, while small values of the charge and Higgs boson mass lead to the expulsion of Higgs field.

18 pages, 10 figures, accepted for publication in Phys. Rev. D

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• Exact convoluted solutions in higher-dimensional Einstein-Maxwell theory
• Ringdown Spectroscopy of Rotating Black Holes Pierced by Cosmic Strings
• Exact helicoidal and catenoidal solutions in Einstein-Maxwell theory
• Bianchi IX geometry and the Einstein-Maxwell theory
• A New Class of Exact Solutions in Einstein-Maxwell-dilaton Theory
• Minimal Surfaces and Generalized Einstein-Maxwell-dilaton Theory
• Dark matter cosmic string in the gravitational field of a black hole
• NUT Solutions in Einstein-Maxwell-scalar-Gauss-Bonnet Gravity
• M-Branes on Minimal Surfaces