Quantum theory of a neutrino field in the external gravitational field of a rotating collapsing object

The $S$ matrix describing the quantum effects of a neutrino field in the space-time of a rotating black hole formed as a result of gravitational collapse is calculated. The matrices of the Bogolyubov transformations are calculated, and the amplitudes of the basic elementary processes (quantum production, annihilation, and scattering of neutrinos and antineuLrinos by the external gravitational field of such a black hole) are found.