The solution of Dirac's equation in Kerr geometry

Details The solution of Dirac's equation in Kerr geometry The solution of Dirac's equation in Kerr geometry

Jun 1976

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1976rspsa.349..571c&link_type=abstract

Royal Society (London), Proceedings, Series A, vol. 349, no. 1659, June 29, 1976, p. 571-575

Astronomy and Astrophysics

Astronomy

125

Black Holes (Astronomy), Dirac Equation, Electron Mass, Superposition (Mathematics), Time Functions, Wave Functions

Scientific paper

It is shown that the variables of Dirac's equation for the electron can be separated in the Kerr geometry and the solution may be expressed in terms of certain radial and angular functions satisfying decoupled equations. Dirac's equation is written in accordance with the Newman-Penrose (1962) formalism, in the Kerr geometry, and in the Boyer-Lindquist (1967) coordinates. The variables are separated, and the solution is reduced to the solution of a pair of decoupled equations. It is concluded that the general solution can be expressed as a linear superposition of the various solutions belonging to the different characteristic values of the second constant of separation.

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