SU(2,1) Symmetry of the Einstein-Maxwell Fields

Details SU(2,1) Symmetry of the Einstein-Maxwell Fields SU(2,1) Symmetry of the Einstein-Maxwell Fields

Mar 1977

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1977pthph..57..840t&link_type=abstract

Progress of Theoretical Physics, Vol. 57, No. 3, pp. 840-854

Physics

15

Scientific paper

Kinnersley's SU(2,1) theory is investigated to extract all generating transformations by introducing an equivalence relation into the solutions of the Einstein-Maxwell equations. It is shown that all equivalence classes of generated solutions are obtained by using two simple SU(2,1) matrices U0, U1. When Kinnersley's functions u, v, w are linearly dependent, we find that solutions of Kinnersley's equations are divided into three classes and that within one class all solutions are generated, starting with a given solution, by means of the matrices U0, U1. The Bonner-MPST solution is generalized to a five-parameter solution with recourse to the matrix U0. The form of the solution is simpler than that of Esposito and Witten's solution. A special solution is obtained which describes a system with mass 2m, electric charge 2e, magnetic dipole 2mdm, and angular momentum 2edm.

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