Dirac equation in Kerr geometry and its solution

Chandrasekhar separated the Dirac equation for spinning and massive particl es in Kerr geometry into radial and angular parts. In the present review, w e present solutions of the complete wave equation and discuss how the Dirac wave scatters off Kerr black holes. The eigenfunctions, eigenvalues and re flection and transmission coefficients are computed for different Kerr para meters. We compare the solutions with several parameters to show how a spin ning black hole distinguishes mass and energy of incoming waves. Very close to the horizon, the solutions become independent of the particle parameter s indicating a universality of the behaviour.