On the bound states of the Dirac equation in the extreme Kerr metric

D. Batic, M. Nowakowski

Research output: Contribution to journalArticlepeer-review

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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 languageBritish English
Article number225022
JournalClassical and Quantum Gravity
Volume25
Issue number22
DOIs
StatePublished - 2008

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