A Class of Integrable Metrics and Gauge Fields
High Energy Physics - Theory
2017-10-11 v1 General Relativity and Quantum Cosmology
Differential Geometry
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.
Cite
@article{arxiv.1707.04630,
title = {A Class of Integrable Metrics and Gauge Fields},
author = {Gabriel Luz Almeida and Carlos Batista},
journal= {arXiv preprint arXiv:1707.04630},
year = {2017}
}
Comments
14 pages