Vortex hair on AdS black holes
- Gregory, RuthCentre for Particle Theory, Durham University, South Road, Durham, DH1 3LE, U.K.
- Gustainis, Peter(Department of Physics and Astronomy, University of Waterloo, Waterloo, Ontario, N2L 3G1, Canada)
- Kubizňák, David(Perimeter Institute, 31 Caroline Street North, Waterloo, ON, N2L 2Y5, Canada)
- Mann, Robert(Perimeter Institute, 31 Caroline Street North, Waterloo, ON, N2L 2Y5, Canada)
- Wills, Danielle(Centre for Particle Theory, Durham University, South Road, Durham, DH1 3LE, U.K.)
Publication date
November 2014
DOIAbstract
We analyse vortex hair for charged rotating asymptotically AdS black holes in the abelian Higgs model. We give analytical and numerical arguments to show how the vortex interacts with the horizon of the black hole, and how the solution extends to the boundary. The solution is very close to the corresponding asymptotically flat vortex, once one transforms to a frame that is non-rotating at the boundary. We show that there is a Meissner effect for extremal black holes, with the vortex flux being expelled from sufficiently small black holes. The phase transition is shown to be first order in the presence of rotation, but second order without rotation. We comment on applications to holography
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