Dirac Fermions in Non-trivial Topology Black Hole Backgrounds

Abstract

We discuss the behaviour of the Dirac fermions in a general spherically symmetric black hole background with a non-trivial topology of the event horizon. Both massive and massless cases are taken into account. The analytical studies of intermediate and late-time behaviour of massive Dirac hair in the background of a black hole with a global monopole and dilaton black hole pierced by a cosmic string will be conducted. It was revealed that in the case of a global monopole swallowed by a static black hole the intermediate late-time behaviour depends on the mass of the Dirac field, the multiple number of the wave mode and the global monopole parameter. The late-time behaviour is quite independent of these factors and has the decay rate proportional to $t^{-5/6}$. As far as the black hole pierced by a cosmic string is concerned the intermediate late-time behaviour depends only on the hair mass and the multipole number of the wave mode while the late-time behaviour dependence is the same as in the previous case. The main modification stems from the topology of the $S^2$ sphere pierced by a cosmic string. This factor modifies the eigenvalues of the Dirac operator acting on the transverse manifold.

15 pages, RevTex, to be published in Phys.Rev.D15, some misprints were corrected

References in corpus (14)

• Late-time behavior of massive Dirac fields in a Schwarzschild background
• Late time tails of the massive vector field in a black hole background
• Universality of massive scalar field late-time tails in black-hole spacetimes
• Late-time evolution of charged massive Dirac fields in the Reissner-Nordström black-hole background
• Possible discovery of a nonlinear tail and second-order quasinormal modes in black hole ringdown
• The Decay of Dirac Hair around a Dilaton Black Hole
• Decay of Massive Dirac Hair on a Brane-World Black Hole
• Late-time evolution of charged massive Dirac fields in the Kerr-Newman background
• Decay of massive scalar hair in the background of a black hole with a global monopole
• Solution of Dirac equation in the near horizon geometry of an extreme Kerr black hole
• Late-time tails of a self-gravitating massless scalar field, revisited
• Abelian Higgs Hair for Rotating and Charged Black Holes
• Massive Dirac particles on the background of charged de-Sitter black hole manifolds
• Decay of massive scalar hair in the background of a dilaton gravity black hole

Cited by in corpus (6)

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• Dilatons and the Dynamical Collapse of Charged Scalar Field
• Euclidean Dilaton Black Hole Vortex and Dirac Fermions
• Note on black hole no hair theorems for massive forms and spin-1/2 fields
• Superconducting Hair on Charged Black String Background
• Can Dirac fermions Destroy Yang-Mills Black Hole?