Integrability of the Einstein-nonlinear $SU(2)$ $\sigma$-model in a nontrivial topological sector
High Energy Physics - Theory
2018-01-08 v2 Other Condensed Matter
General Relativity and Quantum Cosmology
Mathematical Physics
math.MP
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.
Keywords
Cite
@article{arxiv.1708.01579,
title = {Integrability of the Einstein-nonlinear $SU(2)$ $\sigma$-model in a nontrivial topological sector},
author = {Andronikos Paliathanasis and Tim Taves and P. G. L. Leach},
journal= {arXiv preprint arXiv:1708.01579},
year = {2018}
}
Comments
6 pages, 2 figures, published at EPJC