Solution of Dirac equation around a spinning Black Hole

Details Solution of Dirac equation around a spinning Black Hole Solution of Dirac equation around a spinning Black Hole

2000-07-10

arxiv.org/abs/gr-qc/0007016v2

Nucl.Phys. B582 (2000) 627-645

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

19 Latex pages and 7 Figures; revtex style; Accepted for Publication in Nuclear Physics B

Scientific paper

10.1016/S0550-3213(00)00310-2

Chandrasekhar separated the Dirac equation for spinning and massive particles in Kerr geometry in radial and angular parts. Chakrabarti solved the angular equation and found the corresponding eigenvalues for different Kerr parameters. 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 wave functions for a set of Kerr and wave parameters. From these solutions we obtain local values of reflection and transmission coefficients.

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