Gurses, Metin2023-02-262023-02-262022-02-1017426588http://hdl.handle.net/11693/111759Conference Name: A Life in Mathematical Physics: Conference in Honour of Tekin Dereli (DERELI-FS-2021)Date of Conference: 26/11/2021 - 28/11/2021We show that the tree dimensional Einstein vacuum feld equations with cosmological constant are integrable. Using the sl(2, R) valued soliton connections we obtain the metric of the spacetime in terms of the dynamical variables of the integrable nonlinear partial diferential equations. © 2021 Published under licence by IOP Publishing Ltd.EnglishCosmological constantsDynamical variablesField equationGravity fieldIntegrabilitySpacetimeNonlinear equationsConference Paper10.1088/1742-6596/2191/1/012013