Lax Tensors, Killing Tensors and Geometric Duality

Abstract

The solution of the Lax tensor equations in the case $L_{\alpha \beta \gamma }=-L_{\beta \alpha \gamma }$ was analyzed. The Lax tensors on the dual metrics were investigated. We classified all two dimensional metrics having the symmetric Lax tensor $L_{\alpha \beta \gamma }$. The Lax tensors of the flat space, Rindler system and its dual were found.

9 pages LATEX

References in corpus (2)

• Lax pair tensors and integrable spacetimes
• Symmetries of Taub-NUT Dual Metrics

Cited by in corpus (5)

• Black holes, hidden symmetries, and complete integrability
• Geometry of Lax pairs: particle motion and Killing-Yano tensors
• Geometrization of the Lax Pair Tensors
• f-symbols, Killing tensors and conserved Bel-type currents
• f-symbols in Robertson-Walker space-times