Self‐dual Yang–Mills hierarchy: A nonlinear integrable dynamical system in higher dimensions

1991 ◽  
Vol 32 (2) ◽  
pp. 382-385 ◽  
Author(s):  
Yoshimasa Nakamura
Keyword(s):  
Dynamical System ◽  
Higher Dimensions ◽  
Integrable Dynamical System ◽  
Yang Mills

Vector Product and an Integrable Dynamical System

2011 ◽  
Vol 56 (6) ◽  
pp. 992-994
Author(s):  
Willi-Hans Steeb ◽  
Yorick Hardy ◽  
Igor Tanski
Keyword(s):  
Dynamical System ◽  
Vector Product ◽  
Integrable Dynamical System

scholarly journals Regular solutions to higher order curvature Einstein–Yang–Mills systems in higher dimensions

2005 ◽  
Vol 22 (24) ◽  
pp. 5201-5222 ◽  
Author(s):  
Peter Breitenlohner ◽  
Dieter Maison ◽  
D H Tchrakian
Keyword(s):  
Higher Dimensions ◽  
Higher Order ◽  
Regular Solutions ◽  
Yang Mills

scholarly journals TOPOLOGICAL BLACK HOLES OF GAUSS–BONNET–YANG–MILLS GRAVITY

2010 ◽  
Vol 19 (07) ◽  
pp. 1107-1117 ◽  
Author(s):  
M. H. DEHGHANI ◽  
N. BOSTANI ◽  
R. POURHASAN
Keyword(s):  
Black Holes ◽  
Black Hole ◽  
Causal Structure ◽  
Naked Singularity ◽  
Higher Dimensions ◽  
Negative Mass ◽  
Five Dimensions ◽  
Yang Mills ◽  
Extreme Black Hole ◽  
Mills Field

We present the asymptotically AdS solutions of Gauss–Bonnet gravity with hyperbolic horizon in the presence of a non-Abelian Yang–Mills field with the gauge semisimple group So(n(n-1)/2-1, 1). We investigate the properties of these solutions and find that the non-negative mass solutions in six and higher dimensions are real everywhere with spacelike singularities. They present black holes with one horizon and have the same causal structure as the Schwarzschild space–time. The solutions in five dimensions or the solutions in higher dimensions with negative mass are not real everywhere. In these cases, one needs a transformation to make the solutions real. These solutions may present a naked singularity, an extreme black hole, a black hole with two horizons, or a black hole with one horizon.

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