Euclidean Dilaton Black Hole Vortex and Dirac Fermions

Abstract

We considered the behaviour of Dirac fermion modes in the background of Euclidean dilaton black hole with an Abelian Higgs vortex passing through it. Fermions were coupled to the fields due to the superconducting string model. The case of nonextremal and extremal charged black hole in the theory with arbitrary coupling constant between dilaton field and U(1)-gauge field were considered. We elaborated the cases of zero and non-zero Dirac fermion modes. One finds the evidence that the system under consideration can support fermion fields acting like superconducting hair on black hole in the sence that nontrivial spinor field configuration can be carried by Euclidean spherically symmetric charged dilaton black hole. It was revealed that the localization of Dirac fermion modes depended on the cosmic string winding number and the value of black hole surface gravity.

RevTex, 14 pages, 3 figures, to be published in Phys.Rev.D

References in corpus (6)

• High Redshift Gamma-Ray Bursts: Observational Signatures of Superconducting Cosmic Strings?
• The Decay of Dirac Hair around a Dilaton Black Hole
• Late-time evolution of charged massive Dirac fields in the Kerr-Newman background
• Collapse of Charged Scalar Field in Dilaton Gravity
• Thick Domain Walls in AdS Black Hole Spacetimes
• Neutrino Oscillations in Strong Gravitational Fields

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• Abelian-Higgs hair on stationary axisymmetric black hole in Einstein-Maxwell-axion-dilaton gravity
• Aharonov-Bohm effect for a fermion field in a planar black hole "spacetime"
• Firewall black holes and echoes from an action principle
• Superconducting Hair on Charged Black String Background
• Can Dirac fermions Destroy Yang-Mills Black Hole?
• Dark matter cosmic string in the gravitational field of a black hole