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The Bogomolny Equations and Solutions for Einstein-Yang-Mills-Dilaton- $sigma$ Models | | H. W. Braden
; V. Varela
; | | Date: |
30 Apr 1998 | | Journal: | Phys.Rev. D58 (1998) 124020 | | Subject: | hep-th gr-qc | | 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). | | Source: | arXiv, hep-th/9804204 | | Services: | Forum | Review | PDF | Favorites | |
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