Lax pair tensors and integrable spacetimes

Details Lax pair tensors and integrable spacetimes Lax pair tensors and integrable spacetimes

1997-07-02

arxiv.org/abs/gr-qc/9707003v1

Gen.Rel.Grav. 30 (1998) 1521-1534

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

10 pages, LaTeX

Scientific paper

The use of Lax pair tensors as a unifying framework for Killing tensors of arbitrary rank is discussed. Some properties of the tensorial Lax pair formulation are stated. A mechanical system with a well-known Lax representation -- the three-particle open Toda lattice -- is geometrized by a suitable canonical transformation. In this way the Toda lattice is realized as the geodesic system of a certain Riemannian geometry. By using different canonical transformations we obtain two inequivalent geometries which both represent the original system. Adding a timelike dimension gives four-dimensional spacetimes which admit two Killing vector fields and are completely integrable.

Affiliated with

Also associated with

No associations

Rating

Lax pair tensors and integrable spacetimes does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Lax pair tensors and integrable spacetimes, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Lax pair tensors and integrable spacetimes will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-162720