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

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概要

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• 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 U_0, U_1. 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 U_0, U_1. The Bonner-MPST solution is generalized to a five-parameter solution with recourse to the matrix U_0. 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 23, magnetic dipole 2md_m, and angular momentum 2ed_m.

• 理論物理学刊行会の論文
• 1977-03-25

著者

• Tanabe Yukio

  Department of Physics,Nagoya University

関連論文

• Exact Solutions of the Stationary Axisymmetric Einstein-Maxwell Equations
• SU(2,1) Symmetry of the Einstein-Maxwell Fields
• Multipole Moments of the Tomimatsu-Sato Gravitational Fields

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