Integrability of the Einstein-nonlinear SU(2) -model in a nontrivial topological sector

Andronikos Paliathanasis; Tim Taves; P. G. L. Leach

doi:10.1140/epjc/s10052-017-5477-2

EPJ

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2022 Impact factor 4.4

Particles and Fields

Open Access

Eur. Phys. J. C (2017) 77: 909
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

Andronikos Paliathanasis¹^,2^*, Tim Taves³ and P. G. L. Leach⁴^,5

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

Abstract

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.