https://doi.org/10.1140/epjc/s10052-017-5477-2
Regular Article - Theoretical Physics
Integrability of the Einstein-nonlinear SU(2) 
-model in a nontrivial topological sector
1
Instituto de Ciencias Físicas y Matemáticas, Universidad Austral de Chile, Valdivia, Chile
2
Institute of Systems Science, Durban University of Technology, PO Box 1334, Durban, 4000, Republic of South Africa
3
Centro de Estudios Científicos (CECS), Arturo Prat 514, Valdivia, Chile
4
Department of Mathematics and Institute of Systems Science, Research and Postgraduate Support, Durban University of Technology, PO Box 1334, Durban, 4000, Republic of South Africa
5
School of Mathematics, Statistics and Computer Science, University of KwaZulu-Natal, Private Bag X54001, Durban, 4000, Republic of South Africa
* e-mail: anpaliat@phys.uoa.gr
Received:
4
August
2017
Accepted:
19
December
2017
Published online:
27
December
2017
The integrability of the 
-Einstein-nonlinear 
-model with nonvanishing cosmological charge is studied. We apply the method of singularity analysis of differential equations and we show that the equations for the gravitational field are integrable. The first few terms of the solution are presented.
© The Author(s), 2017
