Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Is there a mode stability paradox for neutrino perturbations of Kerr
  black holes?   Adopting the notation of Teukolsky and Press, we derive the connection
relation for asymptotic solutions of the massless Dirac equation on a Kerr
background. We show that, unlike bosonic fields, the connection relation for
massless Dirac fields (neutrino) provides a rigorous proof of mode stability.
The same relation also implies that every incoming mode can be absorbed by the
black hole or there is no superradiance. Recent works on overspinning black
holes have shown that this can lead to the formation of naked singularities. We
argue that the fact that both the mode stability of the black hole under
neutrino perturbations and the instability of the event horizon (therefore the
instability of the black hole) can be derived from the same connection relation
leads to a paradox. In other words mode, stability implies event horizon
instability as far as neutrino perturbations are concerned.

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The categories of this paper are: stat
24
The categories of this paper are: dg-ga
27
The categories of this paper are: comp-gas
15
The categories of this paper are: nucl-ex
32
The categories of this paper are: atom-ph
11
The categories of this paper are: hep-lat
8
The categories of this paper are: hep-ex
25
The categories of this paper are: patt-sol
20
The categories of this paper are: acc-phys
12
The categories of this paper are: nucl-th
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The categories of this paper are: math-ph
17
The categories of this paper are: q-fin
29
The categories of this paper are: funct-an
9
The categories of this paper are: nlin
36
The categories of this paper are: cmp-lg
33
The categories of this paper are: plasm-ph