Integrability of Three Dimensional Gravity Field Equations
General Relativity and Quantum Cosmology
2022-02-23 v1 High Energy Physics - Theory
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.
Keywords
Cite
@article{arxiv.2202.07395,
title = {Integrability of Three Dimensional Gravity Field Equations},
author = {Metin Gurses},
journal= {arXiv preprint arXiv:2202.07395},
year = {2022}
}
Comments
A contribution to Tekin Dereli's 70th birthday Fetstschrift (DERELI-FS-2021)