Hidden symmetries of the gravitational contact structure of the classical phase space of general relativistic test particle

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216224%3A14310%2F14%3A00074200" target="_blank" >RIV/00216224:14310/14:00074200 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.5817/AM2014-5-297" target="_blank" >http://dx.doi.org/10.5817/AM2014-5-297</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.5817/AM2014-5-297" target="_blank" >10.5817/AM2014-5-297</a>

Result language
angličtina
Original language name
Hidden symmetries of the gravitational contact structure of the classical phase space of general relativistic test particle
Original language description
The phase space of general relativistic test particle is defined as the 1-jet space of motions. A Lorentzian metric defines the canonical contact structure on the odd-dimensional phase space. In the paper we study infinitesimal symmetries of the gravitational contact phase structure which are not generated by spacetime infinitesimal symmetries, i.e. they are hidden symmetries. We prove that Killing multivector fields admit hidden symmetries of the gravitational contact phase structure and we give the explicit description of such hidden symmetries.
Czech name
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Czech description
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Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BA - General mathematics
OECD FORD branch
—

Project
<a href="/en/project/GA14-02476S" target="_blank" >GA14-02476S: Variations, geometry and physics</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2014
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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