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

Abstract The integrability of the $$\Lambda $$ Λ -Einstein-nonlinear $$SU(2)\,\sigma $$ S U ( 2 ) σ -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...

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Bibliographic Details
Main Authors: Andronikos Paliathanasis, Tim Taves, P. G. L. Leach
Format: Article
Language:English
Published: SpringerOpen 2017-12-01
Series:European Physical Journal C: Particles and Fields
Online Access:http://link.springer.com/article/10.1140/epjc/s10052-017-5477-2