Dirac equation in Kerr space-time

Details Dirac equation in Kerr space-time Dirac equation in Kerr space-time

Jun 1977

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1977prama...8..500i&link_type=abstract

Pramana, vol. 8, June 1977, p. 500-511.

Astronomy and Astrophysics

Astronomy

4

Black Holes (Astronomy), Cosmology, Dirac Equation, Space-Time Functions, Angular Momentum, Astronomical Models, Electromagnetic Coupling, Gravitational Fields, Kerr Effects, Perturbation Theory, Zeeman Effect

Scientific paper

The weak-field low-velocity approximation of the Dirac equation in Kerr space-time is investigated. The interaction terms admit an interpretation in terms of a 'dipole-dipole' interaction in addition to spin coupling with the angular momentum of the rotating source. The gravitational gyrofactor for spin is identified. The charged case (Kerr-Newman) is studied using a minimal prescription for electromagnetic coupling in the locally inertial frame, and to the leading order the standard electromagnetic gyrofactor is retrieved. A first-order perturbation calculation of the shift of the Schwarzschild energy level yields the main interesting result of this work: anomalous Zeeman splitting of the energy level of a Dirac particle in the Kerr metric.

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