Geometrization of the Lax Pair Tensors
General Relativity and Quantum Cosmology
2009-11-07 v1 Mathematical Physics
math.MP
Exactly Solvable and Integrable Systems
Abstract
The tensorial form of the Lax pair equations are given in a compact and geometrically transparent form in the presence of Cartan's torsion tensor. Three-dimensional spacetimes admitting Lax tensors are analyzed in detail. Solutions to Lax tensor equations include interesting examples as separable coordinates and the Toda lattice.
Cite
@article{arxiv.gr-qc/0104011,
title = {Geometrization of the Lax Pair Tensors},
author = {D. Baleanu and S. Baskal},
journal= {arXiv preprint arXiv:gr-qc/0104011},
year = {2009}
}
Comments
9 pages, LaTeX