The Bogomolny Equations and Solutions for Einstein-Yang-Mills-Dilaton- $\sigma$ Models

Abstract

We derive Bogomolny equations for an Einstein-Yang-Mills-dilaton-$\sigma$ model (EYMD-$\sigma$) 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).

24 pages LaTex, 1 Figure, revised text for publication

References in corpus (2)

• Static Axially Symmetric Einstein-Yang-Mills-Dilaton Solutions: I.Regular Solutions
• Generating new supergravity solutions using Ehlers-Harrison-type transformations

Cited by in corpus (3)

• Gravitating Non-Abelian Solitons and Black Holes with Yang-Mills Fields
• On the regularity of static axially symmetric solutions in SU(2) Yang-Mills-dilaton theory
• Bogomolny equations and conformal transformations in curved space