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arXiv · 0710.5267

Fermion excitations of a tense brane black hole

H. T. Cho·A. S. Cornell·Jason Doukas·Wade Naylor
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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.

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H. T. Cho, A. S. Cornell, Jason Doukas, Wade Naylor. 2007-10-28. Fermion excitations of a tense brane black hole. https://doi.org/10.1103/physrevd.77.041502

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