A Class of Integrable Metrics and Gauge Fields
arXiv:1707.04630 · doi:10.1103/PhysRevD.96.084003
Abstract
Starting with the most general four-dimensional spacetime possessing two commuting Killing vectors and a nontrivial Killing tensor, we analytically integrate Einstein-Yang-Mills equations for a completely arbitrary gauge group. It is assumed that the gauge field inherits the symmetries of the background and is aligned with the principal null directions of the spacetime.
arXiv comment14 pages
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