Ward’s splitting construction for stationary axisymmetric solutions of the Einstein-Maxwell equations. (English) Zbl 0694.35182
Summary: Two ways of obtaining the stationary axisymmetric reduction of the Einstein-Maxwell equations from the anti-self-dual Yang-Mills equations are related by a symmetry of Yang’s equations. Both can be used to generate Einstein-Maxwell fields by Ward’s splitting construction.
MSC:
35Q99 | Partial differential equations of mathematical physics and other areas of application |
81T08 | Constructive quantum field theory |
83C05 | Einstein’s equations (general structure, canonical formalism, Cauchy problems) |