The Bogomolny Equations and Solutions for Einstein-Yang-Mills-Dilaton- $\sigma$ Models
High Energy Physics - Theory
2008-11-26 v2 General Relativity and Quantum Cosmology
Abstract
We derive Bogomolny equations for an Einstein-Yang-Mills-dilaton- model (EYMD-) on a static spacetime, showing that the Einstein equations are satisfied if and only if the associated (conformally scaled) three-metric is flat. These are precisely the static metrics for which super-covariantly constant spinors exist. We study some general properties of these equations and then consider the problem of obtaining axially symmetric solutions for the gauge group SU(2).
Keywords
Cite
@article{arxiv.hep-th/9804204,
title = {The Bogomolny Equations and Solutions for Einstein-Yang-Mills-Dilaton- $\sigma$ Models},
author = {H. W. Braden and V. Varela},
journal= {arXiv preprint arXiv:hep-th/9804204},
year = {2008}
}
Comments
24 pages LaTex, 1 Figure, revised text for publication