Geometrization of the Lax Pair Tensors

Details Geometrization of the Lax Pair Tensors Geometrization of the Lax Pair Tensors

2001-04-03

arxiv.org/abs/gr-qc/0104011v1

Mod. Phys. Lett. A 15 (2000) 1503

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

9 pages, LaTeX

Scientific paper

10.1142/S0217732300001924

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.

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