A Class of Integrable Metrics and Gauge Fields

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.

14 pages

References in corpus (2)

• Separability of Dirac equation in higher dimensional Kerr-NUT-de Sitter spacetime
• Weyl Tensor Classification in Four-dimensional Manifolds of All Signatures