Geometry of Lax pairs: Particle motion and Killing-Yano tensors
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F13%3A10130692" target="_blank" >RIV/00216208:11320/13:10130692 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1103/PhysRevD.87.024002" target="_blank" >http://dx.doi.org/10.1103/PhysRevD.87.024002</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1103/PhysRevD.87.024002" target="_blank" >10.1103/PhysRevD.87.024002</a>
Alternative languages
Result language
angličtina
Original language name
Geometry of Lax pairs: Particle motion and Killing-Yano tensors
Original language description
A geometric formulation of the Lax pair equation on a curved manifold is studied using the phase-space formalism. The corresponding (covariantly conserved) Lax tensor is defined and the method of generation of constants of motion from it is discussed. Itis shown that when the Hamilton equations of motion are used, the conservation of the Lax tensor translates directly to the well-known Lax pair equation, with one matrix identified with components of the Lax tensor and the other matrix constructed fromthe (metric) connection. A generalization to Clifford objects is also discussed. Nontrivial examples of Lax tensors for geodesic and charged particle motion are found in spacetimes admitting a hidden symmetry of Killing-Yano tensors.
Czech name
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Czech description
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Classification
Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BE - Theoretical physics
OECD FORD branch
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Result continuities
Project
Result was created during the realization of more than one project. More information in the Projects tab.
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
Others
Publication year
2013
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Physical Review D - Particles, Fields, Gravitation and Cosmology
ISSN
1550-7998
e-ISSN
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Volume of the periodical
87
Issue of the periodical within the volume
2
Country of publishing house
US - UNITED STATES
Number of pages
13
Pages from-to
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UT code for WoS article
000313001600006
EID of the result in the Scopus database
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