Behaviour of a spin-1/2 particle around a charged black hole

The Dirac equation is separable in curved spacetime and its solution has be en found for both spherically and axially symmetric geometry. However, most work on this subject has been done without considering the charge of the b lack hole. Here we consider the spherically symmetric charged black-hole ba ckground, namely the Reissner-Nordstrom black hole. Due to the presence of the charge of the black-hole, charge-charge interaction will be important f or the case of an incoming charged particle (e.g. an electron, proton, etc) . Therefore, both gravitational and electromagnetic gauge fields should be introduced. Naturally the behaviour of the particle will be changed from th at in the Schwarzschild geometry. We compare both the solutions. In the cas e of a Reissner-Nordstrom black hole there is a possibility of super-radian ce unlike in the Schwarzschild case. We also check this branch of the solut ion.