Solution of Dirac equation around a spinning black hole

Chandrasekhar separated the Dirac equation for spinning and massive particl es in Kerr geometry in radial and angular parts. Chakrabarti solved the ang ular equation and found the corresponding eigenvalues for different. Kerr p arameters. The radial equations were solved asymptotically by Chandrasekhar , In the present paper, we use the WKB approximation to solve the spatially complete radial equation and calculate analytical expressions of radial wa ve functions for a set of Kerr and wave parameters. From these solutions we obtain local values of reflection and transmission coefficients. (C) 2000 Elsevier Science B.V. All rights reserved.