The Hawking effect of Dirac particles in a variable-mass Kerr space-time is
investigated by using a method called as the generalized tortoise coordina
te transformation. The location and the temperature of the event horizon of
the non-stationary Kerr black hole are derived. It is shown that the tempe
rature and the shape of the event horizon depend not only on the time but a
lso on the angle. However, the Fermi-Dirac spectrum displays a residual ter
m which is absent from that of Bose-Einstein distribution.