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

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

arxiv: 1708.01579 · v2 · pith:3LRDPFYZnew · submitted 2017-08-04 · ✦ hep-th · cond-mat.other· gr-qc· math-ph· math.MP

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

Andronikos Paliathanasis , Tim Taves , P.G.L. Leach This is my paper

classification ✦ hep-th cond-mat.othergr-qcmath-phmath.MP

keywords einstein-nonlinearequationsintegrabilitymodelsigmaanalysisapplycharge

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The integrability of the\ $\Lambda-$Einstein-nonlinear $SU(2)$ $\sigma$-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.

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

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