Kerr-Newman Solution and Spin 1/2

Details Kerr-Newman Solution and Spin 1/2 Kerr-Newman Solution and Spin 1/2

Feb 2005

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2005tmgm.meet.1947a&link_type=abstract

In: The Tenth Marcel Grossmann Meeting. Proceedings of the MG10 Meeting held at Brazilian Center for Research in Physics (CBPF),

Physics

Exact Solutions, Physical Aspects

Scientific paper

For m2 < a2+q2, with m, a, and q respectively the source mass, angular momentum per unit mass, and electric charge, the Kerr-Newman (KN) solution of Einstein's equation reduces to a naked singularity of circular shape, enclosing a disk across which the metric components fail to be smooth. By considering the Hawking and Ellis extended interpretation of the KN spacetime, it is shown that, similarly to the electron-positron system, this solution presents four inequivalent classical states. Making use of Wheeler's idea of charge without charge, it becomes possible to naturally represent them in a Lorentz spinor basis. The state vector representing the whole KN solution is then constructed, and its evolution is shown to be governed by the Dirac equation.

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