Fermion excitations of a tense brane black hole

Abstract

By finding the spinor eigenvalues for a single deficit angle (d-2)-sphere, we derive the radial potential for fermions on a d-dimensional black hole background that is embedded on a codimension two brane with conical singularity, where the deficit angle is related to the brane tension. From this we obtain the quasi-normal mode spectrum for bulk fermions on such a background. As a byproduct of our method, this also gives a rigorous proof for integer spin fields on the deficit 2-sphere.

arXiv comment7 pages, 1 figure

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• Greybody Factors for Rotating Black Holes on Codimension-2 Branes
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• Massive Fermion Emission from Higher Dimensional Black Holes
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• Classical stability of black holes under massless Dirac perturbations
• Gravitational parameter estimation in a waveguide
• Particle emission from a black hole on a tense codimension-2 brane
• Influence of a Brane Tension on Phantom and Massive Scalar Field Emission
• Evolution of Massive Scalar Fields in the Spacetime of a Tense Brane Black Hole
• The Dirac equation in D-dimensional spherically symmetric spacetimes
• Fermion evaporation of a black hole off a tense brane