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29 March 2024
 
  » arxiv » gr-qc/0104011

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Geometrization of the Lax Pair Tensors
D. Baleanu ; S. Baskal ;
Date 3 Apr 2001
Journal Mod. Phys. Lett. A 15 (2000) 1503
Subject General Relativity and Quantum Cosmology; Mathematical Physics; Exactly Solvable and Integrable Systems | gr-qc math-ph math.MP nlin.SI
AbstractThe 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.
Source arXiv, gr-qc/0104011
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