Recognition: unknown
Lax pair tensors in arbitrary dimensions
classification
solv-int
gr-qcnlin.SI
keywords
tensorsadmittingapproacharbitraryconditionconstructcoupling-constantdimension
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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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