Abstract
We study the eigenvalues of the angular equation arising after the separation of the Dirac equation in the extreme Kerr metric. For this purpose a self-adjoint holomorphic operator family associated with this eigenvalue problem is considered. We show that the eigenvalues satisfy a first-order nonlinear differential equation with respect to the black hole mass and we solve it. Finally, we prove that there exist no bound states for the Dirac equation in the aforementioned metric.
Original language | British English |
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Article number | 225022 |
Journal | Classical and Quantum Gravity |
Volume | 25 |
Issue number | 22 |
DOIs | |
State | Published - 2008 |