Integrability of Three Dimensional Gravity Field Equations
arXiv:2202.07395 · doi:10.1088/1742-6596/2191/1/012013
Abstract
We show that the tree dimensional Einstein vacuum field equations with cosmological constant are integrable. Using the valued soliton connections we obtain the metric of the spacetime in terms of the dynamical variables of the integrable nonlinear partial differential equations.
A contribution to Tekin Dereli's 70th birthday Fetstschrift (DERELI-FS-2021)