Lax pair tensors in arbitrary dimensions

Details Lax pair tensors in arbitrary dimensions Lax pair tensors in arbitrary dimensions

1998-10-15

arxiv.org/abs/solv-int/9810011v3

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

8 pages, uses IOP style files. Minor correction. Submitted to J. Phys A

Scientific paper

10.1088/0305-4470/32/18/311

A recipe is presented for obtaining Lax tensors for any n-dimensional
Hamiltonian system admitting a Lax representation of dimension n. Our approach
is to use the Jacobi geometry and coupling-constant metamorphosis to obtain a
geometric Lax formulation. We also exploit the results to construct integrable
spacetimes, satisfying the weak energy condition.

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