ИСТИНА

The problem of finding solutions to the Dirac equation for a free massive spinor field in the spacetime of Schwarzschild black hole is considered. It is shown that the radial part of this equation can be reduced to the form of a confluent equation. It is also shown that for the massless spinor field the radial part of the Dirac equation can be reduced to the form of a confluent Heun equation. Physically adequate solutions to this equation, expressed through confluent Heun functions, are found. A doubling, compared to the case of Minkowski space, of the number of physically adequate solutions with energy greater than that of the particle mass has been observed.