Exact solutions to the Chandrasekhar Page angular equation

Details Exact solutions to the Chandrasekhar Page angular equation Exact solutions to the Chandrasekhar Page angular equation

2006-01-16

arxiv.org/abs/gr-qc/0601057v2

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

Tyos corrected, Revtex, 6 pages

Scientific paper

Exact solutions are found for the Chandrasekhar Page angular equation which results when the Dirac equation in a Kerr Newman space time is separated into its radial and angular parts. The solutions turn out to be remarkably simple in form while satisfying the asymptotic conditions deduced earlier. The eigenvalues are found to be the square root of the total angular momentum as first found by Dirac for flat space; supplemented by a term which is the product of the mass of the Dirac particle times the specific angular momentum of the black hole. The additional contribution is what is expected from frame dragging.

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